International Journal of Advance Engineering and Research Development

Size: px
Start display at page:

Download "International Journal of Advance Engineering and Research Development"

Transcription

1 Scientific Journal of Impact Factor (SJIF): 4.14 International Journal of Advance Engineering and Research Development Volume 3, Issue 3, March e-issn (O): p-issn (P): BIFURCATION ANALYSIS OF HYDRODYNAMIC PLAIN JOURNAL BEARING LUBRICATED WITH COUPLE STRESS FLUID Sanjeev Kumar Lambha 1, Rajiv Verma 2 and Vinod Kumar 2 1 Department of Mechanical Engineering, Faculty of Engineering & Technology, Gurukula Kangri Vishwavidyalaya Haridwar (Uttarakhand), India 2,3 Department of Mechanical Engineering, National Institute of Technology, Kurukshetra (Haryana), India Abstract The dynamic analysis of rotor bearing system supported by two couple stress fluid film journal bearings with non-linear suspension is studied in this paper. The hydrodynamic pressure is generated entirely by the motion of the journal and depends on the viscosity of the lubricated fluid. In this analysis the dynamic trajectory, the power spectra, the Poincare maps, and the bifurcation diagrams are used to analyse the behaviour of the rotor centre and bearing centre in horizontal and vertical directions under different operating conditions. The short journal bearing assumptions are used for the analysis. The model consists of non-linear rotor equations of motion, which are system of nonlinear differential equations. The generalized Reynold s equation is derived for the selected system of rotor bearing. A non dimensional parameter l has been used for couple stress fluid. The method used to solve the dynamic equations is Range Kutta by considering the effects of rotor speed and degree of rotor unbalance. The periodic, quasi-periodic, subharmonic and chaotic motion are demonstrated in this study. Results show that the dynamics of system depends on rotor speed and degree of rotor unbalance. By using the couple stress fluid as lubricant dynamic stability of rotor bearing system enhances considerably as compared to the system using Newtonian fluid as lubricant. Keywords: Journal bearing, dynamic analysis, stability, couple stress fluid, Bifurcation, non-linearity INTRODUCTION In the category of journal bearings, Hydrodynamic journal bearings are one of the examples which support the rotating shafts under a condition of high radial loads. A number of practical applications of these bearings are pumps, compressors, turbines etc. The substance used as lubricants may be Newtonian or non-newtonian in nature. In 1988, Oliver [1] reported that the addition of polymer particles increased the load-carrying capacity of the fluid and reduced the friction effects. Similarly, Spikes [2] showed that adding suitable additives to a base oil lubricant yielded a significant reduction in the frictional effects in elastohydrodynamic contacts and therefore minimized the surface damage to both members of the contact pair. However, in the complex lubricants described above, the viscosity changes with the strain rate, and hence the classic Newtonian linear shear stress strain rate relationship no longer holds. As a result, the rheological behaviour of non-newtonian fluids is generally described using some form of micro-continuum theory. In 1966, Stokes [3] proposed a simple micro-continuum theory to explain the behaviour of couple-stress fluids. The Stokes model provides a convenient means of investigating particle-size effects in couplestress fluids and has been successfully applied to analyse fluid phenomena in a wide variety of scientific and engineering applications. For example, in 1997, Lin [4] used the Stokes micro-continuum model to investigate the squeeze film characteristics of long partial journal bearings lubricated with a couple-stress fluid. The same author [5] also applied the model to explore the static and dynamic behaviour of pure squeeze films in short journal bearings lubricated with a couple-stress fluid. The results revealed that the use of a couple stress lubricants rather than a Newtonian fluid enhances the dynamic stiffness and damping characteristics of the bearing system and reduces the pumping power, leading to a reduction in the lubricant flow rate. In 1998, Das [6] used the Stokes model to investigate the problem of slider bearings lubricated with couple-stress fluids in a magnetic field. The results showed that both the maximum load-carrying capacity and the corresponding inlet outlet film thickness ratio were governed by the magnitude of the couple stress, the magnetic parameters and the bearing geometry. Lin [7,8] used Stokes microcontinuum theory to analyse the static and dynamic characteristics of externally pressurized circular step thrust bearings and to conduct a linear stability analysis of a rotor-bearing system lubricated with a couple-stress fluid. The analytical results revealed that rotor-bearing systems lubricated with a couple-stress fluid are more stable than those lubricated with a conventional Newtonian fluid. In 2001, Abdallah and Lotfi [9] applied the Stokes micro-continuum theory to conduct an inverse analysis of journal bearings lubricated with couple-stress fluids. In 2003, Hsu et al. [10] investigated the effects of surface roughness on the dynamic response of short journal bearings lubricated with a couple stress fluid and showed that the combined effects of the couple stress and the surface roughness improved the load-carrying capacity of the journal bearing system and reduced both the rotor attitude angle and the values of the friction factors. In a recent study, Lahmar [11] conducted an elastohydrodynamic analysis of double-layered journal bearings and demonstrated that the use of a couple-stress lubricant increased the load-carrying capacity and stability of the bearing system and reduced the friction effects and attitude angle of the rotor. There are some prominent literatures about non-linear dynamics of rotor-bearing systems. Ehrich [12] investigated bifurcations in a high-speed All rights Reserved 486

2 bearing system and found that the rotor response was characterized by a sub-harmonic vibration phenomenon. In 1978, Holmes et al. [13] investigated the steady-state motion of a rigid shaft supported by two short journal bearings. The results showed that at small values of eccentricity, the motion was asymptotically periodic and consisted of a small number of components, located principally at synchronous and half-synchronous frequencies. However, at higher eccentricities, the motion was complex and did not settle to a limit cycle, remaining instead in a state of aperiodic motion. In 1994, Brown et al. [14] applied short bearing theory to construct a simple model to describe the behaviour of a rigid, hydro dynamically supported journal and showed that the journal behaved chaotically when the rotating unbalance force exceeded the gravitational load. Adiletta et al. [15 17] performed a series of theoretical and experimental investigations about a rigid rotor supported in short bearings and showed that the rotor performed subharmonic, quasi-periodic and chaotic motions at critical values of the system parameters. Many deterministic physical systems exhibit complex aperiodic behaviour at certain parameter values. This behaviour typically has the form of a strange attractor, indicative of chaotic motion. When the motion of a system is chaotic, its response remains unpredictable for long periods of time, and the resulting aperiodic behaviour is extremely sensitive to the initial conditions. If a system falls into chaos, its behaviour is difficult to predict and control. Hence, a fundamental task when designing journal bearing systems is to identify the geometry and operating conditions which induce chaotic motion such that these conditions can be specifically avoided. In 2006, C. K. Chen et al. [18] proposed a non-linear model to study the dynamic behaviour of the rotor centre and bearing centre and explained that the dynamic behaviour of the system includes 2T-periodic, quasi-periodic and chaotic motions. In 2007, C. W. Chang-Jian et al. [19] investigated the dynamic analysis of a rotor supported by two couple stress fluid film journal bearings with non-linear suspension. It was concluded that rotor bearing system lubricated with couple stress fluid is more stable than that with the conventional Newtonian fluid. In 2007, C. K. Chen et al. [20] analyse an system of flexible rotor supported by two couple stress fluid film journal bearing with non-linear suspension system and studied the behaviour of system for the dynamic response of bearing centre and rotor centre. In 2013, Amamou et al. [21] used the numerical continuation on a long balanced hydrodynamic journal bearing and predict the branch of the journal equilibrium point, the Hopf bifurcation point and the emerging stable or unstable limit cycles. In this study we analyze the dynamic behaviour of a bearing system comprising a flexible rotor supported by two couple-stress fluid film journal bearings with non-linear suspension systems. Due to the non-linearity of the lubricant we assume the journal bearing be the short bearing approximation to get computation easily. The dynamic equations of the rotor centre and journal centre are solved using the Range Kutta method and the system response is illustrated by reference to bifurcation diagrams, Poincare maps and dynamic trajectory diagrams. Nomenclature c radial clearance, c = R-r c1 damping coefficient c2 viscous damping of rotor disk e eccentricity, e = X 2 + Y 2 f dimensionless parameter, f = mg/cks fe, fφ radial and tangential components of fluid film forces Fx, Fy fluid film force components in X direction and Y direction g acceleration due to gravity k1, k2 stiffness coefficients of springs supporting bearing housings ks shaft stiffness coefficient l characteristic length of additives, l =(ɳ/μ) 1/2 l* dimensionless couple-stress parameter, l* = l/c L bearing length m, m0 masses lumped at rotor mid-point and bearing housing mid-point Om rotor gravity center O1, O2, O3 geometric centers of bearing, rotor and journal p pressure distribution in fluid film R inner radius of bearing housing r radius of journal s rotational speed ratio, s =(ω 2 / ωn 2 ) s1 dimensionless parameter, s1 = (comcps 2 ) 1/2 X, Y, Z horizontal, vertical and axial coordinates x1, y1, x2, y2 X1/c, Y1/c, X2/c, Y2/c α dimensionless parameter, α = (k 2 c 2 )/(kscom) ρ mass eccentricity of rotor ɸ rotational angle (ɸ = ωt) rotational speed of All rights Reserved 487

3 I. MATHEMATICAL MODELLING Figure 1 represents to a flexible rotor supported by two couple stress fluid film journal bearing with non-linear suspension systems. O m is the rotor gravitational centre, O 1 the geometrical centre of bearing attached, O 2 is geometrical centre of rotor, O 3 is the geometrical centre of journal; m 0 the mass of bearing housing, m the mass of rotor; k 1 and k 2 are the spring stiffness coefficients supported by two bearing housings, k s is the spring stiffness of the shaft; c 1 and c 2 are the damping coefficients of the supported structure and the rotor disk; the bearing housing inner radius is R, radius of shaft is r; ɸ is the rotational angle; the mass eccentricity of the rotor is ρ. Figure 1: A flexible rotor supported by two couple stress fluid film journal bearing and cross section of fluid film journal bearing To analyze this rotor bearing system a few assumptions are made: a) The rotor and bearing housing are rigid, b) The mass of rotor, torque of rotor disk, axial and torsional vibrations are assumed to be negligible. c) Theory of short bearing approximation is applied. d) A modified Reynolds equation is obtained to govern the couple stress fluid film forces. e) The revolving speed of rotor remains constant f) Unbalance of rotor located at mid-point of rotor g) Initially the rotor and bearing mass centres are located at the mid-points of rotor and bearing. h) The rotor, bearings and bearing housing supports are radially symmetric i) The damping at the mid-point of the rotor due to air resistance is viscous 1. MODIFIED REYNOLDS EQUATION According to Stokes micro-continuum theory the non-newtonian type of Reynolds equation used in the study is of the form p (g(h, l) ) + p h h (g(h, l) ) = 6μU + 12μ x x z z x where g(h, l)= h 3-12l 2 h+24l 3 tanh(h/2l), h c(1 + ε cos(γ φ(t))) = c(1 + ε cosθ). Therefore g(h, l)= c 3 (1+ ε cosθ) 3 12l 2 c(1+ ε cosθ) + 24l 3 tanh( x, (1) t h = -cε/r sin θ, t c(1+ε cosθ) 2l = cε cos θ + cεφ sin θ, x = Rθ, U=Rω, ε = e/c, h = ), (2) where l = (ɳ/ μ) 1/2, μ is the classical viscosity parameter, ɳ is a material constant for couple stress fluid. Thus p (g(h, l) ) + p (g(h, l) ) = 6μωcε sin θ + 12μ(cε cos θ + cεφ sin θ) (3) R θ R θ z z On the application of theory of short bearing approximation L/D<0.25 so p, therefore equation becomes, < p θ z 2 p/ z 2 6μωcε sin θ+12μ(cε cos θ + cεφ sin θ) = (4) g(h,l) The boundary conditions are: p/ z = 0 when z = 0 & p = 0, when z = ± L 2 3μ p = [(ω 2φ )ε sin θ 2ε cos g(h,l) θ](z2 -L 2 /4) (5) 2. FORCE EQUATIONS Forces acting on the centre of journal O 3(X 3, Y 3) are given by, F x= f ecosφ + f φsinφ = k s(x 2 X 3)/2, F y= f esinφ + f φcosφ = k s(y 2 Y 3)/2 (6) Where, f e and f φ are viscous damping forces in radial and tangential directions, and such that f e = -f r and f φ = -f t (7) f r= π L/2 0 L/2 π L/2 0 L/2 pr cos θ dzdθ, (8.1) f t = pr sin θ dzdθ (8.2) Therefore, f e = -μl 3 R/2c 2 π { 0 cosθ)3-12(l*) 2 (1+ ε cosθ) + 24(l*) 3 tanh(((1+ε cosθ))/2l*) )}dθ, (where l* = l/c) All rights Reserved 488

4 f φ = -μl 3 R/2c 2 π { ([(ω-2φ )ε sin θ-2ε ċos θ]sinθ)/((1+ ε 0 cosθ)3-12(l*) 2 (1+ ε cosθ) + 24(l*) 3 tanh(((1+ε cosθ))/2l*) )}dθ, (where l* = l/c) (10) Suppose α 1 = -μl 3 R/2c 2, (11.1) π β 1 = { (sinθ cosθ)/((1+ ε 0 cosθ)3-12(l*) 2 (1+ ε cosθ) + 24(l*) 3 tanh(((1+ε cosθ))/2l*) )}dθ, (11.2) π γ 1 = { 0 (cos2 θ)/((1+ ε cosθ) 3-12(l*) 2 (1+ ε cosθ) + 24(l*) 3 tanh(((1+ε cosθ))/2l*) )}dθ, (11.3) π δ 1 = { 0 (sin2 θ)/((1+ ε cosθ) 3-12(l*) 2 (1+ ε cosθ) + 24(l*) 3 tanh(((1+ε cosθ))/2l*) )}dθ, (11.4) Such that f e = α 1{(ω 2φ )ε β 1-2ε γ 1}, f φ = α 1{(ω 2φ )ε δ 1-2ε β 1} (12) Therefore, F x = [α 1{(ω 2φ )ε β 1-2ε γ 1}cosφ] [α 1{(ω 2φ )ε δ 1-2ε β 1}sinφ], (13.1) F y = [α 1{(ω 2φ )ε β 1-2ε γ 1}sinφ] [α 1{(ω 2φ )ε δ 1-2ε β 1}cosφ], (13.2) & F x = ck s(x 2-x 1- εcosφ)/2, F y = ck s(y 2-y 1- εsinφ)/2 (14) Finally, ε = [β 1ck s{(x 2-x 1- εcosφ)sinφ - (y 2-y 1- εsinφ)cosφ} - δ 1ck s{(x 2-x 1- εcosφ)cosφ+(y 2-y 1- εsinφ)sinφ}]/(4α 1(γ 1δ 1 (β 1) 2 )), (15) φ = ω/2 - [γ 1ck s{(x 2-x 1- εcosφ)sinφ - (y 2-y 1- εsinφ)cosφ} - β 1ck s{(x 2-x 1- εcosφ)cosφ+(y 2-y 1- εsinφ)sinφ}]/(4α 1ε(γ 1δ 1 (β 1) 2 )) (16) In Non-Dimensional form ε = [β 1ck s{(x 2-x 1- εcosφ)sinφ - (y 2-y 1- εsinφ)cosφ} - δ 1ck s{(x 2-x 1- εcosφ)cosφ+(y 2-y 1- εsinφ)sinφ}]/(4α 1ω(γ 1δ 1 (β 1) 2 )) (17) φ = 1/2 - [γ 1ck s{(x 2-x 1- εcosφ)sinφ - (y 2-y 1- εsinφ)cosφ} - β 1ck s{(x 2-x 1- εcosφ)cosφ+(y 2-y 1- εsinφ)sinφ}]/(4α 1εω(γ 1δ 1 (β 1) 2 )) (18) 3. MASS EQUATIONS mx 2 + c 2X 2 + k s(x 2 X 3) = mρω 2 cosφ, (19.1) my 2 + c 2Y 2 + k s(y 2 Y 3) = mρω 2 sinφ - mg, (19.2) m 0X 1 + c 1X 1 + k 1X 1 + k 1X 1 3 = F x, (19.3) m 0Y 1 + c 1Y 1 + k 1Y 1 + k 1Y 1 3 = - m 0g +F y. (19.4) In non-dimensional form x 2 + (2ξ 2/s)x 2 + (1/s 2 )( x 2-x 1- εcosφ) = βcosφ, (20.1) y 2 + (2ξ 2/s)y 2 + (1/s 2 )( y 2-y 1- εcosφ) = βsinφ f/s 2, (20.2) x 1 + (2ξ 1/s 1)x 1 + (1/s 1 2 )x 1 + (α/s 2 )x 1 3 ½(1/C om)(1/s 2 )( x 2-x 1- εcosφ) = 0, (20.3) y 1 + (2ξ 1/s 1)y 1 + (1/s 1 2 )y 1 + (α/s 2 )y 1 3 ½(1/C om)(1/s 2 )( y 2-y 1- εcosφ) + (f/s 2 )= 0. (20.4) The systems of equations are solved to find solution by using the Range-Kutta scheme of numerical methods. RESULTS AND DISCUSSIONS The numerical analysis is carried out by using the Runge-Kutta method. The time steps for direct numerical integration is specified as pi/100 and the error tolerance is lower than In presenting the results, the time-series data relating to the first few revolutions of the rotor are deliberately excluded in order to ensure that analysed data corresponds to steadystate conditions. In the simulations, the system parameters are assigned the following values: ξ 1 = c 1/(2 k 1m 0 ) = , ξ 2 = c 2/(2 k sm ) = 0.026, f = mg/ck s = , c p = (k s/k 1)= 2.0, C om = (m 0/m) = 0.125, Ʌ = 0.12, β = ρ/c = 0.45, x 1(0) = 0.2, x 1 (0) = , y 1(0) = 0.4, y 1 (0) = , x 2(0) = 0.5, x 2 (0) = , y 2(0) = 0.4, y 2 (0) = The dynamic responses of the rotor and bearing centers are evaluated by reference to bifurcation diagrams, dynamic trajectory diagrams and Poincare maps, All rights Reserved 489

5 Figure 2: Trajectory diagram for s = 0.1 and l* = 0.0 Figure 3: Trajectory diagram for s = 0.2 and l* = 0.0 Figure 4: Trajectory diagram for s = 0.5 and l* = All rights Reserved 490

6 Figure 5: Trajectory diagram for s = 0.8 and l* = 0.0 Figure 6: Trajectory diagram for s = 1.1 and l* = 0.1 Figure 7: Trajectory diagram for s = 1.2 and l* = All rights Reserved 491

7 Figure 8: Trajectory diagram for s = 1.4 and l* = 0.1 Figure 9: Trajectory diagram for s = 1.8 and l* = 0.1 Figure 10: Trajectory diagram for s = 2.2 and l* = 0.1 Figure11: Bifurcation diagrams of bearing centre and rotor centre in horizontal and vertical direction for couple stress fluid (l* = All rights Reserved 492

8 Figure12: Bifurcation diagrams of bearing centre and rotor centre in horizontal and vertical direction for couple stress fluid (l* = 0.1) With the help of trajectory diagrams & bifurcation diagrams it is very clear that for s=0.1 and l* = 0.0 both the bearing centre and the rotor centre exhibit a periodic motion. For s=0.1 and l* = 0.0 the bearing centre and the rotor centre exhibit the quasi-periodic motion. For s = and l* = 0.0 the bearing centre exhibit and the rotor centre exhibit the chaotic motion. For s = 1.1 and l* = 0.1 the bearing centre exhibit and the rotor centre exhibit the quasi-periodic motion. For s = and l* = 0.1 the bearing centre exhibit and the rotor centre exhibit the chaotic motion From s = 2.0 and l* = 0.1 the bearing centre exhibit and the rotor centre starts to become quasi-periodic II. CONCLUSION In this study the results are coated for two values of couple stress parameters l* = 0.0 & l* = 0.1. As the values of rotational speed ratio increases, the behaviour of the bearing centre and the rotor centre tends to be chaotic in nature first for both the cases. Then the centres start exhibiting quasi-static nature. Overall the results have shown that the stability of rotor bearing system depends upon the rotational speed of the rotor and its degree of unbalance. At higher values of rotational speed ratio the motion becomes quasi-periodic thus if we proceed further the motion tends to be periodic in nature. V. REFERENCES [1] D.R. Oliver, Load enhancement effects due to polymer thickening in a short model journal bearings, J Non- Newtonian Fluid Mech, volume 30, pp , 1988 [2] H.A. Spikes, The behaviour of lubricants in contacts: current understanding and future possibilities, Proc Instn Mech Eng, Part J: J. Engg. Tribology, volume 28, pp. 3 15, 1994 [3] V.K. Stokes, Couple-stresses in fluids Physical Fluids, volume 9, pp , 1966 [4] J.R. Lin, Squeeze film characteristics of long partial journal bearings lubricated with couple stress fluids Tribology International, volume 30(1), pp , 1997 [5] J.R. Lin, Static and dynamic behaviour of pure squeeze films in couple stress fluid lubricated short journal bearings Proc Instn Mech Eng, volume 62(1), pp , 1997 [6] N.C. Das, A study of optimum load-bearing capacity for slider bearings lubricated with couple stress fluids in magnetic field, Tribology International, volume 31(7), pp , 1998 [7] J.R. Lin, Static and dynamic characteristics of externally pressurized circular step thrust bearings lubricated with couple stress fluids, Tribology International, volume 32, pp , 1999 [8] J.R. Lin, Linear stability analysis of rotor-bearing system: couple stress fluid model, Computer Structure, volume 79, pp , 2001 [9] A.E. Abdallah, HG. Lotfi, An inverse solution for finite journal bearings lubricated with couple stress fluids Tribology International, volume 34, pp , 2001 [10] C.H. Hsu, J.R. Lin, H.L. Chiang, Combined effects of couple stresses and surface roughness on the lubrication of short journal bearings Ind Lubricat Tribol, volume 55(5), pp , 2003 [11] M. Lahmar, Elastohydrodynamic analysis of double-layered journal bearings lubricated with couple-stress fluids Proc Instn Mech Eng, Part J: J Engg. Tribology, volume 219, pp , 2005 [12] F.F. Ehrich, Some observations of chaotic vibration phenomena in high-speed rotordynamics ASME J Vibrat Acoust, volume 113, pp , 1991 [13] A.G. Holmes, C.M. Ettles, L.W. Mayes, Aperiodic behavior of a rigid shaft in short journal bearings Int J Numer Mech Eng, volume 12, pp , All rights Reserved 493

9 [14] R.D. Brown, P. Addison, A.H.C. Chan, Chaos in the unbalance response of journal bearings. Nonlinear Dyn, volume 5, pp , 1994 [15] G. Adiletta, A.R. Guido, C. Rossi, Chaotic motions of a rigid rotor in short journal Bearings, Nonlinear Dynamics, volume 10, pp , 1996 [16] G. Adiletta, A.R. Guido, C. Rossi, Nonlinear dynamics of a rigid unbalanced rotor in short bearings Part I: theoretical analysis, Nonlinear Dynamics, volume 14, pp , 1997 [17] G. Adiletta, A.R. Guido, C. Rossi, Nonlinear dynamics of a rigid unbalanced rotor in short bearings. Part II: theoretical analysis Nonlinear Dynamics, volume 14, pp , 1997 [18] C.K. Chen, C.W.C. Jian, Bifurcation and chaos analysis of a flexible rotor supported by turbulent long journal bearings, Chaos Solutions & Fractals, volume 34, pp , 2006 [19] C.W. Chang-Jian, Non-linear numerical analysis of a flexible rotor equipped with squeeze couple stress fluid film bearings, Acta Mechanica Solida Sinica, volume 20(4), pp , 2007 [20] C.K.Chen, C.W.C. Jian, Bifurcation analysis of a flexible rotor supported by couple stress fluid film bearings with non-linear suspension systems, Tribology International, volume 41, pp , 2007 [21] A. Amamou, M. Chouchane, Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation, Mech. And Machine Theory, volume 72, pp , All rights Reserved 494

STABILITY ANALYSIS OF CIRCULAR PRESSURE DAM HYDRODYNAMIC JOURNAL BEARING WITH COUPLE STRESS LUBRICANT

STABILITY ANALYSIS OF CIRCULAR PRESSURE DAM HYDRODYNAMIC JOURNAL BEARING WITH COUPLE STRESS LUBRICANT VO. 5, NO. 10, OCTOBER 010 ISSN 1819-6608 006-010 Asian Research Publishing Network (ARPN). All rights reserved. STABIITY ANAYSIS OF CIRCUAR PRESSURE DAM HYDRODYNAMIC JOURNA BEARING WITH COUPE STRESS UBRICANT

More information

STATIC AND DYNAMIC CHARACTERISTICS OF HYDRODYNAMIC FOUR- LOBE JOURNAL BEARING WITH COUPLE STRESS LUBRICANTS

STATIC AND DYNAMIC CHARACTERISTICS OF HYDRODYNAMIC FOUR- LOBE JOURNAL BEARING WITH COUPLE STRESS LUBRICANTS STATIC AND DYNAMIC CHARACTERISTICS OF HYDRODYNAMIC FOUR- LOBE JOURNAL BEARING WITH COUPLE STRESS LUBRICANTS B. Chetti, b.chetti@gmail.com, Institute of sciences and Technology, Center University of Khemis

More information

Analysis of Fluid Film Stiffness and Damping coefficient for A Circular Journal Bearing with Micropolar Fluid

Analysis of Fluid Film Stiffness and Damping coefficient for A Circular Journal Bearing with Micropolar Fluid et International Journal on Emerging Technologies 5(1): 206-211(2014) ISSN No. (Print) : 0975-8364 ISSN No. (Online) : 2249-3255 Analysis of Fluid Film Stiffness Damping coefficient for A Circular Journal

More information

Linear and Nonlinear Analysis of Plain Journal Bearings Lubricated With Couple Stress Fluid

Linear and Nonlinear Analysis of Plain Journal Bearings Lubricated With Couple Stress Fluid ISSN 2395-1621 Linear and Nonlinear Analysis of Plain Journal Bearings Lubricated With Couple Stress Fluid #1 Deepali Kangude 1 deepalikangude94@gmail.com 1 P.G. student Mechanical Department, DYPIET Pimpri,

More information

Use of Full Spectrum Cascade for Rotor Rub Identification

Use of Full Spectrum Cascade for Rotor Rub Identification Use of Full Spectrum Cascade for Rotor Rub Identification T. H. Patel 1, A. K. Darpe 2 Department of Mechanical Engineering, Indian Institute of Technology, Delhi 110016, India. 1 Research scholar, 2 Assistant

More information

Research Article Stability Analysis of Journal Bearing: Dynamic Characteristics

Research Article Stability Analysis of Journal Bearing: Dynamic Characteristics Research Journal of Applied Sciences, Engineering and Technology 9(1): 47-52, 2015 DOI:10.19026/rjaset.9.1375 ISSN: 2040-7459; e-issn: 2040-7467 2015 Maxwell Scientific Publication Corp. Submitted: July

More information

Implementation of a Thermo- Hydrodynamic Model to Predict Morton Effect

Implementation of a Thermo- Hydrodynamic Model to Predict Morton Effect Implementation of a Thermo- Hydrodynamic Model to Predict Morton Effect Antonini *, Fausti and Mor Polibrixia srl, Via A. Tadini 49, 25125 Brescia. *orresponding author: Via Branze 45, 25123 Brescia, massimo.antonini@polibrixia.it

More information

Influence of friction coefficient on rubbing behavior of oil bearing rotor system

Influence of friction coefficient on rubbing behavior of oil bearing rotor system Influence of friction coefficient on rubbing behavior of oil bearing rotor system Changliang Tang 1, Jinfu ang 2, Dongjiang Han 3, Huan Lei 4, Long Hao 5, Tianyu Zhang 6 1, 2, 3, 4, 5 Institute of Engineering

More information

CHAPTER 1 INTRODUCTION Hydrodynamic journal bearings are considered to be a vital component of all the rotating machinery. These are used to support

CHAPTER 1 INTRODUCTION Hydrodynamic journal bearings are considered to be a vital component of all the rotating machinery. These are used to support CHAPTER 1 INTRODUCTION Hydrodynamic journal bearings are considered to be a vital component of all the rotating machinery. These are used to support radial loads under high speed operating conditions.

More information

Nonlinear Dynamic Analysis of a Hydrodynamic Journal Bearing Considering the Effect of a Rotating or Stationary Herringbone Groove

Nonlinear Dynamic Analysis of a Hydrodynamic Journal Bearing Considering the Effect of a Rotating or Stationary Herringbone Groove G. H. Jang e-mail: ghjang@hanyang.ac.kr J. W. Yoon PREM, Department of Mechanical Engineering, Hanyang University, Seoul, 133-791, Korea Nonlinear Dynamic Analysis of a Hydrodynamic Journal Bearing Considering

More information

SYNTHESIS OF A FLUID JOURNAL BEARING USING A GENETIC ALGORITHM

SYNTHESIS OF A FLUID JOURNAL BEARING USING A GENETIC ALGORITHM SYNTHESIS OF A FLUID JOURNAL BEARING USING A GENETIC ALGORITHM A. MANFREDINI and P. VIGNI Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione (DIMNP) - University of Pisa Via Diotisalvi,

More information

SAMCEF For ROTORS. Chapter 1 : Physical Aspects of rotor dynamics. This document is the property of SAMTECH S.A. MEF A, Page 1

SAMCEF For ROTORS. Chapter 1 : Physical Aspects of rotor dynamics. This document is the property of SAMTECH S.A. MEF A, Page 1 SAMCEF For ROTORS Chapter 1 : Physical Aspects of rotor dynamics This document is the property of SAMTECH S.A. MEF 101-01-A, Page 1 Table of Contents rotor dynamics Introduction Rotating parts Gyroscopic

More information

Circular Bearing Performance Parameters with Isothermal and Thermo-Hydrodynamic Approach Using Computational Fluid Dynamics

Circular Bearing Performance Parameters with Isothermal and Thermo-Hydrodynamic Approach Using Computational Fluid Dynamics Circular Bearing Performance Parameters with Isothermal and Thermo-Hydrodynamic Approach Using Computational Fluid Dynamics Amit Chauhan 1 Department of Mechanical Engineering, University Institute of

More information

1 Introduction. Minho Lee 1 Jihoon Lee 1 Gunhee Jang 1

1 Introduction. Minho Lee 1 Jihoon Lee 1 Gunhee Jang 1 DOI 10.1007/s005-015-5-5 TECHNICAL PAPER Stability analysis of a whirling rigid rotor supported by stationary grooved FDBs considering the five degrees of freedom of a general rotor bearing system Minho

More information

Numerical analysis of three-lobe journal bearing with CFD and FSI

Numerical analysis of three-lobe journal bearing with CFD and FSI Numerical analysis of three-lobe journal bearing with CFD and FSI Pankaj Khachane 1, Dinesh Dhande 2 1PG Student at Department of Mechanical Engineering, AISSMSCOE Pune, Maharashtra, India 2Assistant Professor

More information

Thermohydrodynamic analysis of a worn plain journal bearing

Thermohydrodynamic analysis of a worn plain journal bearing Tribology International 37 (2004) 129 136 www.elsevier.com/locate/triboint Thermohydrodynamic analysis of a worn plain journal bearing M. Fillon, J. Bouyer Université de Poitiers, Laboratoire de Mécanique

More information

Effect of an hourglass shaped sleeve on the performance of the fluid dynamic bearings of a HDD spindle motor

Effect of an hourglass shaped sleeve on the performance of the fluid dynamic bearings of a HDD spindle motor DOI 10.1007/s00542-014-2136-5 Technical Paper Effect of an hourglass shaped sleeve on the performance of the fluid dynamic bearings of a HDD spindle motor Jihoon Lee Minho Lee Gunhee Jang Received: 14

More information

Experimental Investigations of Whirl Speeds of a Rotor on Hydrodynamic Spiral Journal Bearings Under Flooded Lubrication

Experimental Investigations of Whirl Speeds of a Rotor on Hydrodynamic Spiral Journal Bearings Under Flooded Lubrication International Conference on Fluid Dynamics and Thermodynamics Technologies (FDTT ) IPCSIT vol.33() () IACSIT Press, Singapore Experimental Investigations of Whirl Speeds of a Rotor on Hydrodynamic Spiral

More information

Analysis of Hydrodynamic Journal Bearing Using CFD and FSI Technique

Analysis of Hydrodynamic Journal Bearing Using CFD and FSI Technique Analysis of Hydrodynamic Journal Bearing Using CFD and FSI Technique Priyanka Tiwari M.E. Student of Government Engineering College Jabalpur, M.P.-India Veerendra Kumar Principal of Government Engineering

More information

Dynamics of Rotor Systems with Clearance and Weak Pedestals in Full Contact

Dynamics of Rotor Systems with Clearance and Weak Pedestals in Full Contact Paper ID No: 23 Dynamics of Rotor Systems with Clearance and Weak Pedestals in Full Contact Dr. Magnus Karlberg 1, Dr. Martin Karlsson 2, Prof. Lennart Karlsson 3 and Ass. Prof. Mats Näsström 4 1 Department

More information

Analysis of Two-Layered Journal Bearing Lubricated with Ferrofluid

Analysis of Two-Layered Journal Bearing Lubricated with Ferrofluid MATEC Web of Conferences 1, 41 (14) DOI: 1.151/ matecconf/ 141 41 C Owned by the authors, published by EDP Sciences, 14 Analysis of Two-Layered Journal Bearing Lubricated with Ferrofluid T. V. V. L. N.

More information

Investigation of Coupled Lateral and Torsional Vibrations of a Cracked Rotor Under Radial Load

Investigation of Coupled Lateral and Torsional Vibrations of a Cracked Rotor Under Radial Load NOMENCLATURE Investigation of Coupled Lateral and Torsional Vibrations of a Cracked Rotor Under Radial Load Xi Wu, Assistant Professor Jim Meagher, Professor Clinton Judd, Graduate Student Department of

More information

Application of Nonlinear Dynamics Tools for Diagnosis of Cracked Rotor Vibration Signatures

Application of Nonlinear Dynamics Tools for Diagnosis of Cracked Rotor Vibration Signatures Application of Nonlinear Dynamics Tools for Diagnosis of Cracked Rotor Vibration Signatures Jery T. Sawicki *, Xi Wu *, Andrew L. Gyekenyesi **, George Y. Baaklini * Cleveland State University, Dept. of

More information

NON-LINEAR ROTORDYNAMICS: COMPUTATIONAL STRATEGIES

NON-LINEAR ROTORDYNAMICS: COMPUTATIONAL STRATEGIES The 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery Honolulu, Hawaii, February 1-14, NON-LINEAR ROTORDNAMICS: COMPUTATIONAL STRATEGIES Tom J. Chalko Head of Rotordynamic

More information

Available online at ScienceDirect. Procedia Technology 23 (2016 ) 42 50

Available online at   ScienceDirect. Procedia Technology 23 (2016 ) 42 50 Available online at www.sciencedirect.com ScienceDirect Procedia Technology 23 (216 ) 42 5 3rd International Conference on Innovations in Automation and Mechatronics Engineering, ICIAME 216 On the stiffness

More information

Influence of couple stress lubricants on hole-entry hybrid journal bearings

Influence of couple stress lubricants on hole-entry hybrid journal bearings Received 19 February 2017; received in revised form 21 April 2017; accepted 15 May 2017. To cite this article: Ram (2017). Influence of couple stress lubricants on hole-entry hybrid journal bearings. Jurnal

More information

Stability of Water-Lubricated, Hydrostatic, Conical Bearings With Spiral Grooves for High-Speed Spindles

Stability of Water-Lubricated, Hydrostatic, Conical Bearings With Spiral Grooves for High-Speed Spindles S. Yoshimoto Professor Science University of Tokyo, Department of Mechanical Engineering, 1-3 Kagurazaka Shinjuku-ku, Tokyo 16-8601 Japan S. Oshima Graduate Student Science University of Tokyo, Department

More information

Oil Flow in Connecting Channels of Floating Ring Bearings

Oil Flow in Connecting Channels of Floating Ring Bearings SIRM 2015 11 th International Conference on Vibrations in Rotating Machines, Magdeburg, Deutschland, 23. 25. February 2015 Oil Flow in Connecting Channels of Floating Ring Bearings Rob Eling 1,2, Ron van

More information

Lecture Slides. Chapter 12. Lubrication and Journal Bearings

Lecture Slides. Chapter 12. Lubrication and Journal Bearings Lecture Slides Chapter 12 Lubrication and Journal Bearings The McGraw-Hill Companies 2012 Chapter Outline Types of Lubrication Hydrodynamic Hydrostatic Elastohydrodynamic Boundary Solid film Viscosity

More information

Finite Element Analysis of Elastohydrodynamic Cylindrical Journal Bearing

Finite Element Analysis of Elastohydrodynamic Cylindrical Journal Bearing Copyright 1 Tech Science Press FDMP, vol., no., pp.19-9, 1 Finite Element Analysis of Elastohydrodynamic Cylindrical Journal Bearing L. Dammak and E. Hadj-Taïeb Abstract: This paper presents a short and

More information

Inclined Slider Bearing with Magnetic Rheological fluid under the Effects of Second Order Rotation

Inclined Slider Bearing with Magnetic Rheological fluid under the Effects of Second Order Rotation Inclined Slider Bearing with Magnetic Rheological fluid under the Effects of Second Order Rotation Dr. Mohammad Miyan Associate Professor, Department of Mathematics, Shia P. G. College, University of Lucknow,

More information

Stability Analysis of a Hydrodynamic Journal Bearing With Rotating Herringbone Grooves

Stability Analysis of a Hydrodynamic Journal Bearing With Rotating Herringbone Grooves G. H. Jang e-mail: ghjang@hanyang.ac.kr J. W. Yoon PREM, Department of Mechanical Engineering, Hanyang University, Seoul, 33-79, Korea Stability Analysis of a Hydrodynamic Journal Bearing With Rotating

More information

WORK SHEET FOR MEP311

WORK SHEET FOR MEP311 EXPERIMENT II-1A STUDY OF PRESSURE DISTRIBUTIONS IN LUBRICATING OIL FILMS USING MICHELL TILTING PAD APPARATUS OBJECTIVE To study generation of pressure profile along and across the thick fluid film (converging,

More information

SCIENCE & TECHNOLOGY

SCIENCE & TECHNOLOGY Pertanika J. Sci. & Technol. 5 (3): 963-976 (07) SCIENCE & TECHNOLOGY Journal homepage: http://www.pertanika.upm.edu.my/ Dynamic Performance Characteristics of Finite Journal Bearings Operating on TiO

More information

Lubrication and Journal Bearings

Lubrication and Journal Bearings UNIVERSITY OF HAIL College of Engineering Department of Mechanical Engineering Chapter 12 Lubrication and Journal Bearings Text Book : Mechanical Engineering Design, 9th Edition Dr. Badreddine AYADI 2016

More information

FRICTIONAL EFFECT AND LOAD CARRYING CAPACITY IN POROUS INCLINED MULTI STEPPED COMPOSITE BEARINGS WITH COUPLE STRESS FLUIDS

FRICTIONAL EFFECT AND LOAD CARRYING CAPACITY IN POROUS INCLINED MULTI STEPPED COMPOSITE BEARINGS WITH COUPLE STRESS FLUIDS VO. 1, NO. 17, SEPTEMBER 17 ISSN 1819-668 6-17 Asian Research Publishing Network (ARPN). All rights reserved. FRICTIONA EFFECT AND OAD CARRYING CAPACITY IN POROUS INCINED MUTI STEPPED COMPOSITE BEARINGS

More information

Modelling lubricated revolute joints in multibody mechanical systems

Modelling lubricated revolute joints in multibody mechanical systems 183 Modelling lubricated revolute oints in multibody mechanical systems P Flores 1, H M Lankarani 2, J Ambrósio 3 and J C P Claro 1 1 Departamento de Engenharia Mecânica, Universidade do Minho, Guimarães,

More information

Dynamic analysis of a HDD spindle system with FDBs due to the bearing width and asymmetric grooves of journal bearing

Dynamic analysis of a HDD spindle system with FDBs due to the bearing width and asymmetric grooves of journal bearing Microsystem Technologies Micro- and Nanosystems Information Storage and Pro Springer-Verlag 2005 10.1007/s00542-005-0606-5 Technical paper Dynamic analysis of a HDD spindle system with FDBs due to the

More information

Journal-Bearing Databook

Journal-Bearing Databook Tsuneo Someya (Editor) Journal-Bearing Databook With Contributions by T. Someya, J. Mitsui, J. Esaki, S. Saito, Y Kanemitsu, T. Iwatsubo, M.Tanaka, S. Hisa, T. Fujikawa, H. Kanki With 60 Figures and 5

More information

Paper GT Luis San Andrés. Bonjin Koo. Sung-Hwa Jeung. Supported by Pratt & Whitney Engines and Turbomachinery Research Consortium

Paper GT Luis San Andrés. Bonjin Koo. Sung-Hwa Jeung. Supported by Pratt & Whitney Engines and Turbomachinery Research Consortium Proceedings of ASME Turbo Expo 2018: Turbine Technical Conference and Exposition, June 11-15, 2018, Oslo, Norway Paper GT2018-76224 EXPERIMENTAL FORCE COEFFICIENTS FOR TWO SEALED ENDS SQUEEZE FILM DAMPERS

More information

Influence of the Factors of the Rotor Supported in the Slide Bearing Systems on the Occuring Possibility of the Chaotic Motion

Influence of the Factors of the Rotor Supported in the Slide Bearing Systems on the Occuring Possibility of the Chaotic Motion Mechanics and Mechanical Engineering Vol. 12, No. 3 (2008) 233 242 c Technical University of Lodz Influence of the Factors of the Rotor Supported in the Slide Bearing Systems on the Occuring Possibility

More information

STATIC AND DYNAMIC ANALYSIS OF A PUMP IMPELLER WITH A BALANCING DEVICE PART I: STATIC ANALYSIS

STATIC AND DYNAMIC ANALYSIS OF A PUMP IMPELLER WITH A BALANCING DEVICE PART I: STATIC ANALYSIS Int. J. of Applied Mechanics and Engineering, 04, vol.9, No.3, pp.609-69 DOI: 0.478/ijame-04-004 STATIC AND DYNAMIC ANALYSIS OF A PUMP IMPELLER WITH A BALANCING DEVICE PART I: STATIC ANALYSIS C. KUNDERA

More information

Influence of Eccentricity and Angular Velocity on Force Effects on Rotor of Magnetorheological Damper

Influence of Eccentricity and Angular Velocity on Force Effects on Rotor of Magnetorheological Damper EPJ Web of Conferences 18, 291 (218) EFM 217 https://doi.org/1.151/epjconf/21818291 Influence of Eccentricity and Angular Velocity on Force Effects on Rotor of Magnetorheological Damper Dominik Šedivý

More information

Nonlinear effects on the rotor driven by a motor with limited power

Nonlinear effects on the rotor driven by a motor with limited power Applied and Computational Mechanics 1 (007) 603-61 Nonlinear effects on the rotor driven by a motor with limited power L. Pst Institute of Thermomechanics, Academy of Sciences of CR, Dolejškova 5,18 00

More information

Investigations of Slip Effect on the Performance of Micro Gas Bearings and Stability of Micro Rotor-Bearing Systems

Investigations of Slip Effect on the Performance of Micro Gas Bearings and Stability of Micro Rotor-Bearing Systems Sensors 007, 7, 99-44 sensors ISSN 44-80 007 by MPI www.mdpi.org/sensors Full Research Paper Investigations of Slip Effect on the Performance of Micro Gas Bearings and Stability of Micro Rotor-Bearing

More information

DETC EXPERIMENT OF OIL-FILM WHIRL IN ROTOR SYSTEM AND WAVELET FRACTAL ANALYSES

DETC EXPERIMENT OF OIL-FILM WHIRL IN ROTOR SYSTEM AND WAVELET FRACTAL ANALYSES Proceedings of IDETC/CIE 2005 ASME 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference September 24-28, 2005, Long Beach, California, USA DETC2005-85218

More information

Hydrodynamic Lubrication

Hydrodynamic Lubrication ME 383S Bryant February 15, 2005 1 Hydrodynamic Lubrication Fluid Lubricant: liquid or gas (gas bearing) Mechanism: Pressures separate surfaces o Normal loads on bodies o Convergent profile between surfaces

More information

Bearing Technologies: An Overview

Bearing Technologies: An Overview Bearing Technologies: An Overview Dr. H. Hirani Assistant Professor, Mechanical Engineering INDIAN INSTITUTE OF TECHNOLOGY BOMBAY I.I.T. Bombay 1 I.I.T. Bombay Computer Hard disk with read/write head Tribo-Pair

More information

CFD ANALYSIS OF PRESSURE DISTRIBUTION IN SLIDE CONICAL BEARING LUBRICATED WITH NON-NEWTONIAN OIL

CFD ANALYSIS OF PRESSURE DISTRIBUTION IN SLIDE CONICAL BEARING LUBRICATED WITH NON-NEWTONIAN OIL Journal of KONES Powertrain and Transport, Vol. 20, No. 3 2013 CFD ANALYSIS OF PRESSURE DISTRIBUTION IN SLIDE CONICAL BEARING LUBRICATED WITH NON-NEWTONIAN OIL Adam Czaban Gdynia Maritime University Faculty

More information

Nonlinear dynamics analysis of tilting pad journal bearing-rotor system

Nonlinear dynamics analysis of tilting pad journal bearing-rotor system Shock and Vibration 18 (2011) 45 52 45 DOI 10.3233/SAV-2010-0584 IOS Press Nonlinear dynamics analysis of tilting pad journal bearing-rotor system Jiayang Ying, Yinghou Jiao and Zhaobo Chen School of Mechanical

More information

DAMPING AND INERTIA COEFFICIENTS FOR TWO END SEALED SUEEZE FILM DAMPERS WITH A CENTRAL GROOVE: MEASUREMENTS AND PREDICTIONS

DAMPING AND INERTIA COEFFICIENTS FOR TWO END SEALED SUEEZE FILM DAMPERS WITH A CENTRAL GROOVE: MEASUREMENTS AND PREDICTIONS 2013 ASME Turbo Expo Conference, June 3-7 2013, San Antonio, TX, USA DAMPING AND INERTIA COEFFICIENTS FOR TWO END SEALED SUEEZE FILM DAMPERS WITH A CENTRAL GROOVE: MEASUREMENTS AND PREDICTIONS Luis San

More information

Correspondence should be addressed to Neminath Bhujappa Naduvinamani;

Correspondence should be addressed to Neminath Bhujappa Naduvinamani; Advances in Tribology Volume 214, Article ID 387413, 7 pages http://dx.doi.org/1.1155/214/387413 Research Article Effect of Surface Roughness and Viscosity-Pressure Dependency on the Couple Stress Squeeze

More information

Conception mécanique et usinage MECA Hydrodynamic plain bearings

Conception mécanique et usinage MECA Hydrodynamic plain bearings Conception mécanique et usinage MECA0444-1 Hydrodynamic plain bearings Pr. Jean-Luc BOZET Dr. Christophe SERVAIS Année académique 2016-2017 1 Tribology Tribology comes from the greek word tribein, which

More information

PROJECT 2 DYNAMICS OF MACHINES 41514

PROJECT 2 DYNAMICS OF MACHINES 41514 PROJECT 2 DYNAMICS OF MACHINES 41514 Dynamics of Rotor-Bearing System Lateral Vibrations and Stability Threshold of Rotors Supported On Hydrodynamic Bearing and Ball Bearing. Ilmar Ferreira Santos, Prof.

More information

Robust shaft design to compensate deformation in the hub press fitting and disk clamping process of 2.5 HDDs

Robust shaft design to compensate deformation in the hub press fitting and disk clamping process of 2.5 HDDs DOI 10.1007/s00542-016-2850-2 TECHNICAL PAPER Robust shaft design to compensate deformation in the hub press fitting and disk clamping process of 2.5 HDDs Bumcho Kim 1,2 Minho Lee 3 Gunhee Jang 3 Received:

More information

Analysis of Fitted Bearings under Second Order Rotatory Theory of Hydrodynamic Lubrication

Analysis of Fitted Bearings under Second Order Rotatory Theory of Hydrodynamic Lubrication International Journal of Multidisciplinary and Current Research Research Article ISSN: 2321-3124 Available at: http://ijmcr.com Analysis of Fitted Bearings under Second Order Rotatory Theory of Hydrodynamic

More information

Available online at aeme.com/ijmet/issues.asp?jtype=ijmet&vtype= =9&IType=12 ISSN Print: and ISSN

Available online at   aeme.com/ijmet/issues.asp?jtype=ijmet&vtype= =9&IType=12 ISSN Print: and ISSN International Journal of Mechanical Engineering and Technology (IJMET) Volume 9, Issue, December 8, pp. 98 9, Article ID: IJMET_9 9 Available online at http://www.ia aeme.com/ijmet/issues.asp?jtype=ijmet&vtype=

More information

Numerical Analysis of a Journal Bearing with Chemical Roughness

Numerical Analysis of a Journal Bearing with Chemical Roughness MSD.04-1 Numerical Analysis of a Journal Bearing with Chemical Roughness Mohammad Tauviqirrahman a,b, Muchammad a, Jamari b, and Dik J. Schipper a a Laboratory for Surface Technology and Tribology, Faculty

More information

Influence of radial clearance on the static performance of hydrodynamic journal bearing system

Influence of radial clearance on the static performance of hydrodynamic journal bearing system Volume, Issue (26) 658-563 ISSN 237-3258 Influence of radial clearance on the static performance of hydrodynamic journal bearing system RK Awasthi, Harpreet Singh Bitta Department of Mechanical Engineering,

More information

This equation of motion may be solved either by differential equation method or by graphical method as discussed below:

This equation of motion may be solved either by differential equation method or by graphical method as discussed below: 2.15. Frequency of Under Damped Forced Vibrations Consider a system consisting of spring, mass and damper as shown in Fig. 22. Let the system is acted upon by an external periodic (i.e. simple harmonic)

More information

Dynamics of Machinery

Dynamics of Machinery Dynamics of Machinery Two Mark Questions & Answers Varun B Page 1 Force Analysis 1. Define inertia force. Inertia force is an imaginary force, which when acts upon a rigid body, brings it to an equilibrium

More information

Dynamic Analysis of Rotor-Ball Bearing System of Air Conditioning Motor of Electric Vehicle

Dynamic Analysis of Rotor-Ball Bearing System of Air Conditioning Motor of Electric Vehicle International Journal of Mechanical Engineering and Applications 2015; 3(3-1): 22-28 Published online February 13, 2015 (http://www.sciencepublishinggroup.com/j/ijmea) doi: 10.11648/j.ijmea.s.2015030301.14

More information

Hakwoon Kim Gunhee Jang Sanghoon Lee. 1 Introduction

Hakwoon Kim Gunhee Jang Sanghoon Lee. 1 Introduction Microsyst Technol (2011) 17:749 759 DOI 10.1007/s00542-010-1188-4 TECHNICAL PAPER Complete determination of the dynamic coefficients of coupled journal and thrust bearings considering five degrees of freedom

More information

PREDICTION OF OPERATIONAL CHARACTERISTICS OF FLUID-FILM AND GAS BEARINGS FOR HIGH-SPEED TURBOMACHINERY USING COMPUTATIONAL FLUID DYNAMICS

PREDICTION OF OPERATIONAL CHARACTERISTICS OF FLUID-FILM AND GAS BEARINGS FOR HIGH-SPEED TURBOMACHINERY USING COMPUTATIONAL FLUID DYNAMICS PREDICTION OF OPERATIONAL CHARACTERISTICS OF FLUID-FILM AND GAS BEARINGS FOR HIGH-SPEED TURBOMACHINERY USING COMPUTATIONAL FLUID DYNAMICS Ravikovich Y.A., Ermilov Y.I., Pugachev A.O., Matushkin A.A., Kholobtsev

More information

Stability analysis of a whirling disk-spindle system supported by FDBs with rotating grooves

Stability analysis of a whirling disk-spindle system supported by FDBs with rotating grooves Microsyst Technol (011) 17:787 797 DOI 10.1007/s0054-010-111-9 TECHNICAL PAPER Stability analysis of a whirling disk-spindle system supported by FDBs with rotating grooves Jihoon Lee Gunhee Jang Kyungmoon

More information

Journal of Advanced Mechanical Design, Systems, and Manufacturing

Journal of Advanced Mechanical Design, Systems, and Manufacturing Static Analysis of Viscoelastic Supported Gas Foil Thrust Bearing with Journal Inclination* Quan ZHOU**, Yu HOU***, Rugang CHEN***, Shuangtao CHEN*** and Chunzheng CHEN*** ** School of Environmental and

More information

GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS

GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS Journal of KONES Powertrain and Transport, Vol. 23, No. 2 2016 GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS Adam Czaban Gdynia Maritime University, Faculty

More information

STICK-SLIP WHIRL INTERACTION IN DRILLSTRING DYNAMICS

STICK-SLIP WHIRL INTERACTION IN DRILLSTRING DYNAMICS STICK-SLIP WHIRL INTERACTION IN DRILLSTRING DYNAMICS R. I. Leine, D. H. van Campen Department of Mechanical Engineering, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands

More information

DEVELOPMENT OF TOOL FOR THE IDENTIFICATION OF STIFFNESS AND DAMPING COEFFICIENTS OF JOURNAL BEARING

DEVELOPMENT OF TOOL FOR THE IDENTIFICATION OF STIFFNESS AND DAMPING COEFFICIENTS OF JOURNAL BEARING DEVELOPMENT OF TOOL FOR THE IDENTIFICATION OF STIFFNESS AND DAMPING COEFFICIENTS OF JOURNAL BEARING Sampath Kumar B 1 and G.Satish Babu 2 1 P.G student, Department of mechanical engineering, JNTUH College

More information

International Journal of Mathematical Archive-4(12), 2013, Available online through ISSN

International Journal of Mathematical Archive-4(12), 2013, Available online through   ISSN International Journal of Mathematical Archive-4(1), 13, 165-171 Available online through www.ijma.info ISSN 9 546 COMBINED EFFECTS OF COUPLE STRESS AND MHD ON SQUEEZE FILM LUBRICATION BETWEEN TWO PARALLEL

More information

EFFECTS OF SURFACE ROUGHNESS WITH MHD ON THE MICRO POLAR FLUID FLOW BETWEEN ROUGH ELLIPTIC PLATES

EFFECTS OF SURFACE ROUGHNESS WITH MHD ON THE MICRO POLAR FLUID FLOW BETWEEN ROUGH ELLIPTIC PLATES International Journal of Mechanical Engineering and Technology (IJMET) Volume 9 Issue November 8 pp. 586 598 Article ID: IJMET_9 58 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=9&itype=

More information

Tridimensional analysis of a Turbulent Flow through an Eccentric Short Labyrinth Seal

Tridimensional analysis of a Turbulent Flow through an Eccentric Short Labyrinth Seal International Journal of Innovation and Applied Studies ISSN 2028-9324 Vol. 19 No. 1 Jan. 2017, pp. 37-45 2017 Innovative Space of Scientific Research Journals http://www.ijias.issr-journals.org/ Tridimensional

More information

NONLINEAR CHARACTERISTICS OF THE PILE-SOIL SYSTEM UNDER VERTICAL VIBRATION

NONLINEAR CHARACTERISTICS OF THE PILE-SOIL SYSTEM UNDER VERTICAL VIBRATION IGC 2009, Guntur, INDIA NONLINEAR CHARACTERISTICS OF THE PILE-SOIL SYSTEM UNDER VERTICAL VIBRATION B. Manna Lecturer, Civil Engineering Department, National Institute of Technology, Rourkela 769008, India.

More information

PRESSURE DISTRIBUTION AND FRICTION COEFFICIENT OF HYDRODYNAMIC JOURNAL BEARING

PRESSURE DISTRIBUTION AND FRICTION COEFFICIENT OF HYDRODYNAMIC JOURNAL BEARING PRESSURE DISTRIBUTION AND FRICTION COEFFICIENT OF HYDRODYNAMIC JOURNAL BEARING 1 Mr.Akash S. Patil, 2 Mr.Kaustubh S. Zambre, 3 Mr.Pramod R. Mali, 4 Prof.N.D.Patil 1,2,3 B.E. Mechanical Dept. P.V.P.I.T,

More information

Nonlinear effects on the rotor driven by a motor with limited power

Nonlinear effects on the rotor driven by a motor with limited power Applied and Computational Mechanics 1 (007) 603-61 Nonlinear effects on the rotor driven by a motor with limited power L. Půst Institute of Thermomechanics, Academy of Sciences of CR, Dolejkova 5,18 00

More information

ROTATING RING. Volume of small element = Rdθbt if weight density of ring = ρ weight of small element = ρrbtdθ. Figure 1 Rotating ring

ROTATING RING. Volume of small element = Rdθbt if weight density of ring = ρ weight of small element = ρrbtdθ. Figure 1 Rotating ring ROTATIONAL STRESSES INTRODUCTION High centrifugal forces are developed in machine components rotating at a high angular speed of the order of 100 to 500 revolutions per second (rps). High centrifugal force

More information

Sliding Contact Bearings

Sliding Contact Bearings Sliding Contact Bearings Classification of Bearings 1. According to the direction of load to be supported. The bearings under this group are classified as: (a) Radial bearings (b) Thrust bearings. In radial

More information

FEDSM99 S-291 AXIAL ROTOR OSCILLATIONS IN CRYOGENIC FLUID MACHINERY

FEDSM99 S-291 AXIAL ROTOR OSCILLATIONS IN CRYOGENIC FLUID MACHINERY Proceedings of the 3 rd ASME/JSME Joint Fluids Engineering Conference 1999 ASME Fluids Engineering Division Summer Meeting July 18-23 1999, San Francisco, California FEDSM99 S-291 AXIAL ROTOR OSCILLATIONS

More information

Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process

Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process Key Engineering Materials Vols. -5 (6) pp. -5 online at http://www.scientific.net (6) Trans Tech Publications Switzerland Online available since 6//5 Nonlinear Stability and Bifurcation of Multi-D.O.F.

More information

Influence of magnetic fluid through a series of flow factors on the performance of a longitudinally rough finite slider bearing

Influence of magnetic fluid through a series of flow factors on the performance of a longitudinally rough finite slider bearing Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 12, Number 1 (2016), pp. 783 796 Research India Publications http://www.ripublication.com/gjpam.htm Influence of magnetic fluid through

More information

Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing

Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing G. Chen College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R.C. e-mail: cgzyx@263.net Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported

More information

LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR.

LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR. LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR. IBIKUNLE ROTIMI ADEDAYO SIMPLE HARMONIC MOTION. Introduction Consider

More information

Application of CFD analysis for static and dynamic characteristics of hydrodynamic journal bearing

Application of CFD analysis for static and dynamic characteristics of hydrodynamic journal bearing Application of CFD analysis for static and dynamic characteristics of hydrodynamic journal bearing Kenichiro Takenaka *, Tomoyuki Hayashi, Kazuyoshi Miyagawa Abstract ISROMAC 7 International Symposium

More information

Research Article Dynamic Performance Characteristics of a Curved Slider Bearing Operating with Ferrofluids

Research Article Dynamic Performance Characteristics of a Curved Slider Bearing Operating with Ferrofluids Advances in Tribology Volume 22 Article ID 278723 6 pages doi:.55/22/278723 Research Article Dynamic Performance Characteristics of a Curved Slider Bearing Operating with Ferrofluids Udaya P. Singh andr.s.gupta

More information

PREFACE. performance of various bearings lubricated with non-newtonian fluids.

PREFACE. performance of various bearings lubricated with non-newtonian fluids. PREFACE The present thesis deals with the theoretical study of lubrication characteristics of bearings with non-newtonian fluids. In these theoretical investigations of the problems, the Mathematical models

More information

Sliding Bearings. Fig.(1) (a) Full-journal bearing and (b) partial-journal bearing

Sliding Bearings. Fig.(1) (a) Full-journal bearing and (b) partial-journal bearing Sliding Bearings The goal of a bearing is to provide relative positioning and rotational freedom while transmitting a load between two parts, commonly a shaft and its housing. The object of lubrication

More information

HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING

HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING International J. of Pure & Engg. Mathematics (IJPEM) ISSN 2348-3881, Vol. 3 No. III (December, 2015), pp. 23-38 HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING J. K. Limo 1, J. K. Bitok 2, A. W.

More information

Periodic Skeletons of Nonlinear Dynamical Systems in the Problems of Global Bifurcation Analysis

Periodic Skeletons of Nonlinear Dynamical Systems in the Problems of Global Bifurcation Analysis Periodic Skeletons of Nonlinear Dynamical Systems in the Problems of Global Bifurcation Analysis M Zakrzhevsky, I Schukin, A Klokov and E Shilvan PERIODIC SKELETONS OF NONLINEAR DYNAMICAL SYSTEMS IN THE

More information

Available online at ScienceDirect. Procedia Engineering 113 (2015 )

Available online at   ScienceDirect. Procedia Engineering 113 (2015 ) Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 113 (2015 ) 306 311 International Conference on Oil and Gas Engineering, OGE-2015 Developing of computational investigation

More information

Study of coupling between bending and torsional vibration of cracked rotor system supported by radial active magnetic bearings

Study of coupling between bending and torsional vibration of cracked rotor system supported by radial active magnetic bearings Applied and Computational Mechanics 1 (2007) 427-436 Study of coupling between bending and torsional vibration of cracked rotor system supported by radial active magnetic bearings P. Ferfecki a, * a Center

More information

Suneetha et al., International Journal of Advanced Engineering Technology

Suneetha et al., International Journal of Advanced Engineering Technology Suneetha et al., International Journal of Advanced Engineering Technology Research Paper GENERALIZED REYNOLD S EQUATION FOR POWER LAW FLUIDS APPLICATION TO PARALLEL PLATES AND SPHERICAL BEARINGS SQUEEZING

More information

Experimental Investigation of Effect of Water Emulsion on Load Carrying Capacity of Hydrodynamic Journal Bearing

Experimental Investigation of Effect of Water Emulsion on Load Carrying Capacity of Hydrodynamic Journal Bearing 5 IJSRSET Volume Issue Print ISSN : 95-99 Online ISSN : 94-499 Themed Section: Engineering and Technology Experimental Investigation of Effect of Water Emulsion on Carrying Capacity of Hydrodynamic Journal

More information

Ferrofluid Lubrication of a Rough Porous Secant-Shaped Slider Bearing with Slip Velocity

Ferrofluid Lubrication of a Rough Porous Secant-Shaped Slider Bearing with Slip Velocity Journal of the Serbian Society for Computational Mechanics / Vol. / No., 7 / pp. 69-8 (DOI:.4874/jsscm.7...7) Ferrofluid Lubrication of a Rough Porous Secant-Shaped Slider Bearing with Slip Velocity J.

More information

Model of the gas journal bearing dynamics with a flexibly supported foil

Model of the gas journal bearing dynamics with a flexibly supported foil Model of the gas journal bearing dynamics with a flexibly supported foil (NUM209-15) Eliza Tkacz, Zbigniew Kozanecki, Dorota Kozanecka, Jakub Lagodziski Abstract: The work is devoted to an analysis of

More information

Attempt ALL QUESTIONS IN SECTION A, ONE QUESTION FROM SECTION B and ONE QUESTION FROM SECTION C Linear graph paper will be provided.

Attempt ALL QUESTIONS IN SECTION A, ONE QUESTION FROM SECTION B and ONE QUESTION FROM SECTION C Linear graph paper will be provided. UNIVERSITY OF EAST ANGLIA School of Mathematics Main Series UG Examination 2015-2016 ENERGY ENGINEERING PRINCIPLES ENG-5001Y Time allowed: 3 Hours Attempt ALL QUESTIONS IN SECTION A, ONE QUESTION FROM

More information

Dynamic Analysis of Pelton Turbine and Assembly

Dynamic Analysis of Pelton Turbine and Assembly Dynamic Analysis of Pelton Turbine and Assembly Aman Rajak, Prateek Shrestha, Manoj Rijal, Bishal Pudasaini, Mahesh Chandra Luintel Department of Mechanical Engineering, Central Campus, Pulchowk, Institute

More information

Some Aspects Regarding the Modeling of Highly Pressurized Squeeze Film Dampers

Some Aspects Regarding the Modeling of Highly Pressurized Squeeze Film Dampers Some Aspects Regarding the Modeling of ighly Pressurized Squeeze Film Dampers Laurenţiu MORARU* *Corresponding author Department of Aerospace Sciences, The POLITENICA University of Bucharest Splaiul Independenţei

More information

Non-newtonian Rabinowitsch Fluid Effects on the Lubrication Performances of Sine Film Thrust Bearings

Non-newtonian Rabinowitsch Fluid Effects on the Lubrication Performances of Sine Film Thrust Bearings International Journal o Mechanical Engineering and Applications 7; 5(): 6-67 http://www.sciencepublishinggroup.com/j/ijmea doi:.648/j.ijmea.75.4 ISSN: -X (Print); ISSN: -48 (Online) Non-newtonian Rabinowitsch

More information

Answers to questions in each section should be tied together and handed in separately.

Answers to questions in each section should be tied together and handed in separately. EGT0 ENGINEERING TRIPOS PART IA Wednesday 4 June 014 9 to 1 Paper 1 MECHANICAL ENGINEERING Answer all questions. The approximate number of marks allocated to each part of a question is indicated in the

More information

Experimental Assessment of Unbalanced Magnetic Force according to Rotor Eccentricity in Permanent Magnet Machine

Experimental Assessment of Unbalanced Magnetic Force according to Rotor Eccentricity in Permanent Magnet Machine Journal of Magnetics 23(1), 68-73 (218) ISSN (Print) 1226-175 ISSN (Online) 2233-6656 https://doi.org/1.4283/jmag.218.23.1.68 Experimental Assessment of Unbalanced Magnetic Force according to Rotor Eccentricity

More information