Topology Optimization of Three Dimensional Structures under Self-weight and Inertial Forces
|
|
- Mabel Pierce
- 5 years ago
- Views:
Transcription
1 6 th World Congresses of Structural and Multidiscilinary Otimization Rio de Janeiro, 30 May - 03 June 2005, Brazil Toology Otimization of Three Dimensional Structures under Self-weight and Inertial Forces Rafael Acedo Loes 1, Fernando Viegas Stum 2, Emílio Carlos Nelli Silva 2 (1) Voith Siemens Hydro Power Generation, São Paulo, Brazil (1) rafael.loes@vs-hydro.com (2) Deartment of Mechatronics and Mechanical Systems Engineering - University of São Paulo, São Paulo, Brazil fernando.stum@oli.us.br ; ecnsilva@us.br 1. Abstract In the structural design, usually only concentrated loads are considered. However, among mechanical structures, there are some in which the body forces have a major imortance in its design. This is the case of rotational machines such as energy generator rotors, turbine runners and flywheels. Unfortunately, the otimal design of these structures is not intuitive, once both load and stiffness deend on the material distribution. Therefore, toology otimization method can be alied to hel to obtain the concetual design these arts. In this wor, a toology otimization formulation for designing three-dimensional structures under self-weight and inertial forces is develoed. As objective function, the traditional mean comliance design roblem is considered, where the objective is to find the material distribution that minimizes the mean comliance for a certain volume constraint. Material models which arameterize stiffness and density roerties were imlemented based on the well-nown SIMP model. Otimality criteria method is alied as the otimization algorithm. A continuation method is alied to avoid local minima. Concerning industry alication, the otimization algorithm, as well as the toology otimization rocedure, was imlemented in ANSYS TM by using the APDL (ANSYS TM Parametric Design Language). This allows us to tae all advantages of FEM code caabilities resented in the commercial code increasing the design tool flexibility. To demonstrate the algorithm otentiality, some examles of classical roblems were synthesized and the results resented. At conclusion, the design of a hydro generator rotor comonent subjected to self-weight and centrifugal force is shown and discussed. 2. Keywords: hydro generator rotor, self-weight, inertial forces, toology otimization, SIMP, ANSYS TM 3. Introduction In heavy mechanical industries, the structural concet is a consequence of about a century of develoment. Such structural solutions have been exhaustively investigated and few chances of imrovements alying conventional design methods remain. Nowadays, the great majority of new develoments is based on the exerience of a design grou, or modifications uon an existing roject. In this way, the structural otimization methods come as a owerful tool in the design of these comonents. In structural design, usually only concentrated loads are considered. However, there are imortant mechanical structures in which the body forces have a major imortance in the design. It is the case of rotational machines such as energy generator rotors, turbine runners and flywheels. The otimal design of these structures is not intuitive, once both load and stiffness deend on the material distribution. In this way, toology otimization methods can be alied in concetual design. The toology otimization methods search for an ideal material distribution of a structure, such that the objective function is otimized. However, even though there are lenty of articles discussing toology otimization structural design, only a few of them consider the body force influence. The wors of Liu, Pars and Clarson [1] cite Donath as the first to investigate the otimization of rotating structures with centrifugal forces. Donath aroached the structure by a series of diss with constant thicness. Stodola [2] resented the rotor hub of a steam turbine. His wors considered a dis, without central hole, subjected to centrifugal force. Stodola s wor was based in the idea of constant stress level in the whole dis. Stodola suggested a hyerbolic curve to describe the best rofile of the structure. By the advent of comutational analysis methods based on mathematical rogramming, Bhaviatti and Ramarishnan [3] alied the method of sequential linear rogramming to solve the otimization roblem of a dis subject to the centrifugal force. While, Cheu [4] alied with success the method of "feasible direction" for the solution of the same roblem. Kress [5] then alied the method "feasible direction" to otimize the thicness variation of a steering wheel with central hole. In this wor, the Toology Otimization Method is alied to otimize the hub of a hydro ower generator. The formulation of maximum stiffness with volume constraint is alied. The roblem is arametrized with the SIMP material model, and the otimization is solved by the otimality criteria method. This aer is organized as follows: In section 4, the basic Toology Otimization theory is resented, In section 5, the roblem formulation emloyed and the otimization algorithm is described considering density deendent body forces. In section 6. the study case of the otimization of a hydro generator shaft subjected is resented in a two and three dimensional aroach. Section 8 resents the conclusion of this wor 4. Basic toology otimization theory Toology otimization is based on two main concets [6]: the extended design domain and the relaxation of the design domain. The extended design domain is a large fixed domain that must contain the whole structure to be determined by the otimization rocedure. The objective of toology otimization is to determine the holes and connectivity of the structure by adding and removing material in this domain. In turn, toology otimization roblem is defined as a roblem of finding the otimal distribution of material
2 in the extended domain. As the extended domain is fixed, the Finite Element model domain is not changed during the otimization rocess. The relaxation of the design roblem is associated to the change of material from solid (one) to void (zero). The discrete roblem, where the amount of material in each element can assume only values equal to either one or zero, is an ill-osed roblem, that is, it does not resent a solution. The roblem must be relaxed by allowing the material to assume intermediate roerty values during the otimization rocedure which can be achieved by defining a material model. Essentially, the material model aroximates the material distribution by defining a function of a continuous arameter (design variable) that determines a mixture of material and void. By allowing the aearance of intermediate (or comosite) materials rather than only void or full material - in the final solution, this rovides enough relaxation for the design roblem. 5. Toology otimization considering self-weight and inertia forces: In this wor, the traditional formulation for stiffness design roblem is considered as objective function, where the objective is to find the material distribution that minimizes the mean comliance (1): Γ C = tudγ + udω (1) mean where t, and u denote the traction, body forces and dislacements, resectively, and Γ reresents the boundary of the domain Ω Then, the general continuous form of the toology otimization roblem for stiffness design can be defined as: Minimize η C mean Ω such that (2) η ( X) dω V Ω 0 < η η η MIN MAX Equilibrium equation where η is the design variable which, for the SIMP material model, can be interreted as the volumetric material fraction. To consider the body forces the material model must be extended to also arametrize the material density. Here the following relation was alied: ρ E f = η ρ 0 (3) = η E 0 (4) In this material model, two enalization factors f and are introduced. In the literature [7][8][9], the arameter is usually set equal to 3 or 4. This enalization avoids the gray-scale regions ( η around 0.5) in the otimized solutions. From a hysical oint of view, the density ρ has a linear relation with the volumetric fraction η, thus the arameter equal to 1. However, as discussed by Bruyneel and Duysinx [10] with the set f = 1 and = 3 f should be set the results, in general, resents surious structures. This haens because when the volume fraction tends to its inferior limit ( η = 10 3 MIN ) the ratio between the density deendent force () and the material stiffness ( E ) increase, locally. To revent this roblem, we roose to aly a enalization f different from 1. Analyzing the relation between enalizations factors, f should avoid the resence of surious structures, however, the final solution tends to resent gray scale because for intermediate values of η because,as can be seen in Figure 1, the ration between density deendent force () and the material stiffness ( E ) is favorable to decrease the mean comliance. Regarding this situation, some numerical test was erformed, and it was concluded that the enalizations factors must be equal f = to obtain results without gray scale or surious structures. f and
3 0.8 η 1 η 2 η 3 η Figure 1: Interolations functions To avoid local minima a continuation method was emloyed, and the schedule of enalization was defined as f = = 1, f = = 2 and f = = 3. Regarding the checerboard instability, the discretization of the density field was made in an element base, while the dislacement field was aroximated by a nine-node element, in the case of two dimensional roblems. This aroach is roven to be stable [11]. In the three dimensional roblem, the same aroach was alied and a twenty-node element emloyed. 5.1 Otimization algorithm To solve the otimization roblem, the otimality criteria [7][12] was alied. Due to the ossibility of ositive values of the objective function sensitivity small changes in the algorithm have been made, following the imlementation of the otimality criteria for the design of flexible mechanism 1, in which the same roblem is faced. The variable udating rule below was alied: η + 1 max{( η ς ), η = η Be min{( η + ς ), η min max if if if max{( η η B e ς ), η max{( η ς ), η min η B min{( η + ς ), η e min{( η + ς ), η max min η B max (5) where B e is given by: 0.3 mean B e (6) C = max 0, η This udating rule allows the method to obtain otimal solutions when the volume constraint finishes inactive. 5.2 Numerical Imlementation The otimization algorithm and the toology otimization rocedure were imlemented in ANSYS by using the APDL (ANSYS Parametric Design Language). This allows us to tae all advantages of FEM code caabilities resented in the commercial code increasing the design tool flexibility. The rocedure imlemented is characterized by some advantages: Multidiscilinary Analysis and Otimization - An advantage of using ANSYS as a FEA solver in otimization is that it is multidiscilinary. Considering the architecture mentioned above, the otimization rogram needs only a slight change when additional ind of analysis is added. Customization and Maintenance - An in-house otimization code integrated with ANSYS assures indeendent maintenance for each rogram. Another asect is the ossibility of customizing roblem arameters (such ass tye of element, oututs)
4 6. Numerical Results In this wor, we have studied the toology otimization of a hydro generator shaft subjected to centrifugal force. Two and three dimensional examles are resented here to examine the configuration of the otimal solution for the roblem. In all simulations, the roerties of the isotroic material are: Young modulus = 210 MPa Poisson ratio = 0,3 Base material density = g/m3 In all cases, the alied loads are: Angular seed = 136 rad/s (1300 rm) Gravity acceleration = 10 m/s Descrition of the design roblem of a generator rotor The generator rotor is basically comosed by the shaft, oles, fan, rotating arts of the bearings, brae disc and sli ring (as in Figure 2). In the resent design, the generator shaft is has a segmented form. Two shaft arts are available (uer and lower), being directly flanged resectively at the to and at the bottom of the intermediate art. The shafts are made of forged carbon steel. The lower shaft has a flange integrally forged for direct couling to turbine shaft with re-tensioned bolts and taered ins. The shaft transmits the torque from the turbine to the hydro generator. For couling with turbine, a couling flange is forged integrally with the shaft at the drive-end. The oles (in and orange arts) are directly fitted onto the generator shaft (light green). The ole fitting slots are obtained by direct longitudinal machining on the shaft. Figure 2 Generator Rotor The main dimensions of the studied shaft are: Shaft outer diameter (central art) = mm Shaft outer diameter (uer and lower art) = 360 mm Shaft inner diameter = 150 mm Couling flange outer diameter = 600 mm Central art length = mm Total shaft length = mm The shaft function is to transmit the torque from the turbine to the generator. But, in this wor, the generator was considered oerating in runaway seed. At runaway, the generator is electrically disconnected from the ower grid, and there is no torque acting on the shaft. Then, in this oerating condition, the generator rotor comonents are subjected only to inertial forces. The runaway seed is about twice the nominal seed. 6.2 Two-dimensional model Firstly, the hub geometry was synthesized considering a two-dimensional design domain shown in Figure 2 (a) it is considered that the dis is rigid fixed in the inner art of the shaft and concentrates loads are alied in the external art, simulating the ole forces due to centrifugal forces. The finite element analysis emloyed 8-node quadrilateral elements (PLANE82). Once a middle shaft section is simulated the hyothesis of lain strain has been adoted. To save comutational time, radial symmetry conditions were alied and only 1/10 of the dis is otimized. Figure 2 (a) shows the couled degree of freedom.
5 Pole force Simmetry conditions (a) (b) Figure 2: Two-dimensional aroach: (a) Design domain and boundary condition considering the load axisymmetric (b) Synthesized structure considering external forces due to the ole mass (Solution for volume constraint of 30%). Four structures were synthesized using a two dimensional aroach, one without inertia forces and three considering the inertial force due to angular seed with different volume fraction constraints. The otimal structure, without inertia forces, is resented in Figure 2 (b). In this roblem only the external forces alied to the hub were considered and the volume constraint of 30%. (a) (b) Figure 3: Otimal structures: (a) Solution for volume constrained equal to 30% (b) Solution for volume constraint equal to 70% Comaring the solution considering body forces (Figure 3 (a)) and without consider (Figure 2 (b)) it is observed that both solutions have similar geometries, however, when the inertia force is considered, the ring formed in external art of the of the dis is slightly different. Analyzing all the two dimensional structures it is observed that that the center of the structure remains undefined. However, the center art has an intermediary densities indicating that the stiffness should be fined by the geometry in the axis erendicular to the lane considered. The three dimensional results show how the stiffness must be distributed inside the hub. 6.3 Three-dimensional model For the three dimensional models, the design domain is discretized in 20-node solid elements (SOLID95) subjected by inertial force due angular seed. In site of the method being able to consider the self-weight of the structure, it was decided to neglect this load. In this roblem, the self-weight magnitude is much lower than the inertia load. Then, the symmetry boundary condition was set at middle of the intermediate shaft. The uer and lower boundary of the design domain (only in the couling region) was rigid suort. In this case, it was also alied cyclic symmetry condition. Figure 4 (a) shown the design domain where boundary conditions and loading are as indicated.
6 (a) (b) Figure 4: Three-dimensional aroach: (a) Design domain and boundary condition considering the load axisymmetric (b) Synthesized structure considering external forces due to the ole mass. 2 arts of 1/10 of the structure 2 arts of 1/20 of the structure Figure 5: Longitudinal slices of the synthesized structure in the three dimensional aroach. The otimal structure is resented in Figure (4) b. The Figure 5 resents the slices of the same structure, allowing too observe its inner art. Here its ossible to observe how the structure must be defined in the center of the shaft. Forging is the traditional rocess for shaft manufacturing. However, by observing the results obtained in Figure 5, we can suggest alternative shaft design configurations. One feasible solution would be the relacement of the forged shaft by a grou of cast diss. The diss would be fastened by bolts and have the same external diameter. The internal diameter would then vary in a way to reroduce a similar configuration obtained in the otimized solution. 7. Conclusions In this wor, a Toology Otimization formulation for designing three-dimensional structures under self-weight and inertial forces was develoed. Some articularities of toology otimization including inertial forces and a comarison between two and three dimensional results were resented. The toology otimization rocedure was imlemented in ANSYS Language, which allows the above mentioned benefits. The mean comliance design roblem was the objective function and density roerties were imlemented based on SIMP model. An adated otimality criteria method was alied as the otimization algorithm, as the traditional otimality criteria method is not aroriate for density-deendent body forces. The modification was imlemented based on the criteria. The numerical alications have shown that the density-deendent body forces have a strong influence in the toology otimization result deending on their magnitude in relation to the alied concentrated loads. Hence, deending on the oerating
7 condition of the mechanical art, body forces cannot be neglected to obtain the otimized design. 8. Acnowledgements Voith Siemens Hydro Power Generation is gratefully acnowledged. We also thans University of São Paulo (Brazil), FAPESP - Fundação de Amaro à Pesquisa do Estado de São Paulo; CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil, and CAPES - Coordenação de Aerfeiçoamento de Pessoal de Nível Suerior for the financial suort. 9. References 1 Liu, J.; Pars, G. & Clarson, P. (2005), 'Toology/shae otimisation of axisymmetric continuum structures - a metamorhic develoment aroach', Structural and Multidiscilinary Otimization 29, Stodola, A., Damf- und Gasturbinen. Berlin, Heidelberg, Sringer, Bhaviatti, S.S.; Ramarishnan, C.V.,. Otimum shae design of rotating diss. Comuter and Structures, 1980, (11): Cheu, T.C., Procedures for shae otimization of gas turbine diss. Comuter and Structures, 1990 (34), Kress, G. R., Shae otimization of a flywheel. Structural and Multidiscilinary Otimization, (19), Bendsøe, M., P., & Kiuchi, N., Generating otimal toologies in structural design using a homogenization method. Comuter Methods in Alied Mechanics and Engineering, 1998,.(71)2, Bendsøe, M., P., & Sigmund, O., Toology Otimization: Theory, Methods and Alications. Sringer-Verlag, Berlin, Rozvany, G.I.N.; Zhou, M. & Birer, T., 'Generalized Shae Otimization without Homogenization', Structural Otimization, 1992, (4)3-4, Bendsøe, M., 'Otimal shae design as a material distribution roblem', Structural Otimization, 1989, (1), , 10 Bruyneel, M. and Duysinx, P., Note on toology otimization of continuum structures including self-weight, Structural and Multidiscilinary Otimization, 2005, (29)4, Jog, C.S. and Haber, R.B., 'Stability of finite element models for distributed-arameter otimization and toology design', Comuter Methods in Alied Mechanics and Engineering, (3-4), , 12 Sigmund, O., A 99 line toology otimization code written in Matlab. Structural and Multidiscilinary Otimization, 2001,(21),2,
2. Keywords Topology optimization, stress constraints, Raghava criterion, Ishai criterion.
oology Otimization with Different Stress Limits in ension and Comression P. Duysinx Robotics and Automation, Institute of Mechanics, C3, University of Liège, 1 Rue Solvay, B-4 Liège, Belgium, el: +3.4.366.91.94,
More informationLower bound solutions for bearing capacity of jointed rock
Comuters and Geotechnics 31 (2004) 23 36 www.elsevier.com/locate/comgeo Lower bound solutions for bearing caacity of jointed rock D.J. Sutcliffe a, H.S. Yu b, *, S.W. Sloan c a Deartment of Civil, Surveying
More informationSHAPE OPTOMIZATION OF H-BEAM FLANGE FOR MAXIMUM PLASTIC ENERGY DISSIPATION
The Fourth China-Jaan-Korea Joint Symosium on Otimization of Structural and Mechanical Systems Kunming, Nov. 6-9, 2006, China SHAPE OPTOMIZATION OF H-BEAM FLANGE FOR MAXIMUM PLASTIC ENERGY DISSIPATION
More informationA SIMPLE PLASTICITY MODEL FOR PREDICTING TRANSVERSE COMPOSITE RESPONSE AND FAILURE
THE 19 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS A SIMPLE PLASTICITY MODEL FOR PREDICTING TRANSVERSE COMPOSITE RESPONSE AND FAILURE K.W. Gan*, M.R. Wisnom, S.R. Hallett, G. Allegri Advanced Comosites
More informationCombining Logistic Regression with Kriging for Mapping the Risk of Occurrence of Unexploded Ordnance (UXO)
Combining Logistic Regression with Kriging for Maing the Risk of Occurrence of Unexloded Ordnance (UXO) H. Saito (), P. Goovaerts (), S. A. McKenna (2) Environmental and Water Resources Engineering, Deartment
More informationOptimization of Gear Design and Manufacture. Vilmos SIMON *
7 International Conference on Mechanical and Mechatronics Engineering (ICMME 7) ISBN: 978--6595-44- timization of Gear Design and Manufacture Vilmos SIMN * Budaest Universit of Technolog and Economics,
More informationINTRODUCING THE SHEAR-CAP MATERIAL CRITERION TO AN ICE RUBBLE LOAD MODEL
Symosium on Ice (26) INTRODUCING THE SHEAR-CAP MATERIAL CRITERION TO AN ICE RUBBLE LOAD MODEL Mohamed O. ElSeify and Thomas G. Brown University of Calgary, Calgary, Canada ABSTRACT Current ice rubble load
More informationarxiv: v1 [physics.data-an] 26 Oct 2012
Constraints on Yield Parameters in Extended Maximum Likelihood Fits Till Moritz Karbach a, Maximilian Schlu b a TU Dortmund, Germany, moritz.karbach@cern.ch b TU Dortmund, Germany, maximilian.schlu@cern.ch
More informationFEM simulation of a crack propagation in a round bar under combined tension and torsion fatigue loading
FEM simulation of a crack roagation in a round bar under combined tension and torsion fatigue loading R.Citarella, M.Leore Det. of Industrial Engineering University of Salerno - Fisciano (SA), Italy. rcitarella@unisa.it
More informationDamage Identification from Power Spectrum Density Transmissibility
6th Euroean Worksho on Structural Health Monitoring - h.3.d.3 More info about this article: htt://www.ndt.net/?id=14083 Damage Identification from Power Sectrum Density ransmissibility Y. ZHOU, R. PERERA
More informationMODELING THE RELIABILITY OF C4ISR SYSTEMS HARDWARE/SOFTWARE COMPONENTS USING AN IMPROVED MARKOV MODEL
Technical Sciences and Alied Mathematics MODELING THE RELIABILITY OF CISR SYSTEMS HARDWARE/SOFTWARE COMPONENTS USING AN IMPROVED MARKOV MODEL Cezar VASILESCU Regional Deartment of Defense Resources Management
More informationRadial Basis Function Networks: Algorithms
Radial Basis Function Networks: Algorithms Introduction to Neural Networks : Lecture 13 John A. Bullinaria, 2004 1. The RBF Maing 2. The RBF Network Architecture 3. Comutational Power of RBF Networks 4.
More informationDeformation Effect Simulation and Optimization for Double Front Axle Steering Mechanism
0 4th International Conference on Comuter Modeling and Simulation (ICCMS 0) IPCSIT vol. (0) (0) IACSIT Press, Singaore Deformation Effect Simulation and Otimization for Double Front Axle Steering Mechanism
More informationShadow Computing: An Energy-Aware Fault Tolerant Computing Model
Shadow Comuting: An Energy-Aware Fault Tolerant Comuting Model Bryan Mills, Taieb Znati, Rami Melhem Deartment of Comuter Science University of Pittsburgh (bmills, znati, melhem)@cs.itt.edu Index Terms
More informationDevelopment of self-adaptively loading for planetary roller traction-drive transmission
Available online www.jocr.com Journal of Chemical and Pharmaceutical Research, 013, 5(9):498-506 Research Article ISSN : 0975-7384 CODEN(USA) : JCPRC5 Develoment of self-adatively loading for lanetary
More informationEstimation of the large covariance matrix with two-step monotone missing data
Estimation of the large covariance matrix with two-ste monotone missing data Masashi Hyodo, Nobumichi Shutoh 2, Takashi Seo, and Tatjana Pavlenko 3 Deartment of Mathematical Information Science, Tokyo
More informationFE FORMULATIONS FOR PLASTICITY
G These slides are designed based on the book: Finite Elements in Plasticity Theory and Practice, D.R.J. Owen and E. Hinton, 1970, Pineridge Press Ltd., Swansea, UK. 1 Course Content: A INTRODUCTION AND
More informationLINEAR SYSTEMS WITH POLYNOMIAL UNCERTAINTY STRUCTURE: STABILITY MARGINS AND CONTROL
LINEAR SYSTEMS WITH POLYNOMIAL UNCERTAINTY STRUCTURE: STABILITY MARGINS AND CONTROL Mohammad Bozorg Deatment of Mechanical Engineering University of Yazd P. O. Box 89195-741 Yazd Iran Fax: +98-351-750110
More informationMODELING AND SIMULATION OF A SATELLITE PROPULSION SUBSYSTEM BY PHYSICAL AND SIGNAL FLOWS. Leonardo Leite Oliva. Marcelo Lopes de Oliveira e Souza
Satellite Proulsion Subsystem MODELING AND SIMULATION OF A SATELLITE PROPULSION SUBSYSTEM BY PHYSICAL AND SIGNAL FLOWS Leonardo Leite Oliva National Institute for Sace Research, INPE Av. dos Astronautas,
More informationTime Domain Calculation of Vortex Induced Vibration of Long-Span Bridges by Using a Reduced-order Modeling Technique
2017 2nd International Conference on Industrial Aerodynamics (ICIA 2017) ISBN: 978-1-60595-481-3 Time Domain Calculation of Vortex Induced Vibration of Long-San Bridges by Using a Reduced-order Modeling
More informationCode_Aster. Connection Harlequin 3D Beam
Titre : Raccord Arlequin 3D Poutre Date : 24/07/2014 Page : 1/9 Connection Harlequin 3D Beam Summary: This document exlains the method Harlequin develoed in Code_Aster to connect a modeling continuous
More informationImplementation and Validation of Finite Volume C++ Codes for Plane Stress Analysis
CST0 191 October, 011, Krabi Imlementation and Validation of Finite Volume C++ Codes for Plane Stress Analysis Chakrit Suvanjumrat and Ekachai Chaichanasiri* Deartment of Mechanical Engineering, Faculty
More informationImplementation of a Column Generation Heuristic for Vehicle Scheduling in a Medium-Sized Bus Company
7e Conférence Internationale de MOdélisation et SIMulation - MOSIM 08 - du 31 mars au 2 avril 2008 Paris- France «Modélisation, Otimisation MOSIM 08 et Simulation du 31 mars des Systèmes au 2 avril : 2008
More informationKeywords: pile, liquefaction, lateral spreading, analysis ABSTRACT
Key arameters in seudo-static analysis of iles in liquefying sand Misko Cubrinovski Deartment of Civil Engineering, University of Canterbury, Christchurch 814, New Zealand Keywords: ile, liquefaction,
More informationMODULAR LINEAR TRANSVERSE FLUX RELUCTANCE MOTORS
MODULAR LINEAR TRANSVERSE FLUX RELUCTANCE MOTORS Dan-Cristian POPA, Vasile IANCU, Loránd SZABÓ, Deartment of Electrical Machines, Technical University of Cluj-Naoca RO-400020 Cluj-Naoca, Romania; e-mail:
More informationA Numerical Method for Critical Buckling Load for a Beam Supported on Elastic Foundation
A Numerical Method for Critical Buckling Load for a Beam Suorted on Elastic Foundation Guo-ing Xia Institute of Bridge Engineering, Dalian University of Technology, Dalian, Liaoning Province, P. R. China
More informationPrediction of the Excitation Force Based on the Dynamic Analysis for Flexible Model of a Powertrain
Prediction of the Excitation Force Based on the Dynamic Analysis for Flexible Model of a Powertrain Y.S. Kim, S.J. Kim, M.G. Song and S.K. ee Inha University, Mechanical Engineering, 53 Yonghyun Dong,
More informationDistributed Rule-Based Inference in the Presence of Redundant Information
istribution Statement : roved for ublic release; distribution is unlimited. istributed Rule-ased Inference in the Presence of Redundant Information June 8, 004 William J. Farrell III Lockheed Martin dvanced
More informationOptimal Design of Truss Structures Using a Neutrosophic Number Optimization Model under an Indeterminate Environment
Neutrosohic Sets and Systems Vol 14 016 93 University of New Mexico Otimal Design of Truss Structures Using a Neutrosohic Number Otimization Model under an Indeterminate Environment Wenzhong Jiang & Jun
More informationHomogeneous and Inhomogeneous Model for Flow and Heat Transfer in Porous Materials as High Temperature Solar Air Receivers
Excert from the roceedings of the COMSOL Conference 1 aris Homogeneous and Inhomogeneous Model for Flow and Heat ransfer in orous Materials as High emerature Solar Air Receivers Olena Smirnova 1 *, homas
More informationFeedback-error control
Chater 4 Feedback-error control 4.1 Introduction This chater exlains the feedback-error (FBE) control scheme originally described by Kawato [, 87, 8]. FBE is a widely used neural network based controller
More informationPERFORMANCE BASED DESIGN SYSTEM FOR CONCRETE MIXTURE WITH MULTI-OPTIMIZING GENETIC ALGORITHM
PERFORMANCE BASED DESIGN SYSTEM FOR CONCRETE MIXTURE WITH MULTI-OPTIMIZING GENETIC ALGORITHM Takafumi Noguchi 1, Iei Maruyama 1 and Manabu Kanematsu 1 1 Deartment of Architecture, University of Tokyo,
More informationLower Confidence Bound for Process-Yield Index S pk with Autocorrelated Process Data
Quality Technology & Quantitative Management Vol. 1, No.,. 51-65, 15 QTQM IAQM 15 Lower onfidence Bound for Process-Yield Index with Autocorrelated Process Data Fu-Kwun Wang * and Yeneneh Tamirat Deartment
More informationSystem Reliability Estimation and Confidence Regions from Subsystem and Full System Tests
009 American Control Conference Hyatt Regency Riverfront, St. Louis, MO, USA June 0-, 009 FrB4. System Reliability Estimation and Confidence Regions from Subsystem and Full System Tests James C. Sall Abstract
More informationAn Ant Colony Optimization Approach to the Probabilistic Traveling Salesman Problem
An Ant Colony Otimization Aroach to the Probabilistic Traveling Salesman Problem Leonora Bianchi 1, Luca Maria Gambardella 1, and Marco Dorigo 2 1 IDSIA, Strada Cantonale Galleria 2, CH-6928 Manno, Switzerland
More informationPreliminary Uncertainty Estimation of the Pressure Distortion Coefficient of a Pressure. Balance by FEM Calculations
Preliminary Uncertainty Estimation of the Pressure Distortion Coefficient of a Pressure Balance by FEM Calculations G. Molinar*, M. Bergoglio*, G. Mosso*,G. Buonanno**, M. Dell Isola** * Istituto di Metrologia
More informationRecursive Estimation of the Preisach Density function for a Smart Actuator
Recursive Estimation of the Preisach Density function for a Smart Actuator Ram V. Iyer Deartment of Mathematics and Statistics, Texas Tech University, Lubbock, TX 7949-142. ABSTRACT The Preisach oerator
More informationEvaluation of straightening capacity of plate roll straightener
J. Cent. South Univ. (0) 9: 477 48 DOI: 0.007/s77 0 99 4 Evaluation of straightening caacity of late roll straightener WANG Yong qin( 王勇勤 ), LIU Zhi fang( 刘志芳 ), YAN Xing chun( 严兴春 ) State Key Laboratory
More informationOn Optimization of Power Coefficient of HAWT
Journal of Power and Energy Engineering, 14,, 198- Published Online Aril 14 in Scies htt://wwwscirorg/journal/jee htt://dxdoiorg/1436/jee1448 On Otimization of Power Coefficient of HAWT Marat Z Dosaev
More informationMethods for detecting fatigue cracks in gears
Journal of Physics: Conference Series Methods for detecting fatigue cracks in gears To cite this article: A Belšak and J Flašker 2009 J. Phys.: Conf. Ser. 181 012090 View the article online for udates
More informationFORMAL DEFINITION OF TOLERANCING IN CAD AND METROLOGY
P. SERRÉ, A. CLÉENT, A. RIVIÈRE FORAL DEFINITION OF TOLERANCING IN CAD AND ETROLOGY Abstract: Our aim is to unify mathematically the secification and the metrological verification of a given geometrical
More informationResearch of power plant parameter based on the Principal Component Analysis method
Research of ower lant arameter based on the Princial Comonent Analysis method Yang Yang *a, Di Zhang b a b School of Engineering, Bohai University, Liaoning Jinzhou, 3; Liaoning Datang international Jinzhou
More informationA generalization of Amdahl's law and relative conditions of parallelism
A generalization of Amdahl's law and relative conditions of arallelism Author: Gianluca Argentini, New Technologies and Models, Riello Grou, Legnago (VR), Italy. E-mail: gianluca.argentini@riellogrou.com
More informationIsogeometric analysis based on scaled boundary finite element method
IOP Conference Series: Materials Science and Engineering Isogeometric analysis based on scaled boundary finite element method To cite this article: Y Zhang et al IOP Conf. Ser.: Mater. Sci. Eng. 37 View
More informationVIBRATION ANALYSIS OF BEAMS WITH MULTIPLE CONSTRAINED LAYER DAMPING PATCHES
Journal of Sound and Vibration (998) 22(5), 78 85 VIBRATION ANALYSIS OF BEAMS WITH MULTIPLE CONSTRAINED LAYER DAMPING PATCHES Acoustics and Dynamics Laboratory, Deartment of Mechanical Engineering, The
More informationNUMERICAL ANALYSIS OF THE IMPACT OF THE INLET AND OUTLET JETS FOR THE THERMAL STRATIFICATION INSIDE A STORAGE TANK
NUMERICAL ANALYSIS OF HE IMAC OF HE INLE AND OULE JES FOR HE HERMAL SRAIFICAION INSIDE A SORAGE ANK A. Zachár I. Farkas F. Szlivka Deartment of Comuter Science Szent IstvÆn University Æter K. u.. G d llı
More informationANALYSIS OF ULTRA LOW CYCLE FATIGUE PROBLEMS WITH THE BARCELONA PLASTIC DAMAGE MODEL
XII International Conerence on Comutational Plasticity. Fundamentals and Alications COMPLAS XII E. Oñate, D.R.J. Owen, D. Peric and B. Suárez (Eds) ANALYSIS OF ULTRA LOW CYCLE FATIGUE PROBLEMS WITH THE
More informationLinear diophantine equations for discrete tomography
Journal of X-Ray Science and Technology 10 001 59 66 59 IOS Press Linear diohantine euations for discrete tomograhy Yangbo Ye a,gewang b and Jiehua Zhu a a Deartment of Mathematics, The University of Iowa,
More informationOn Two-Finger Grasping of Deformable Planar Objects
2011 IEEE International Conference on Robotics and Automation Shanghai International Conference Center May 9-13, 2011, Shanghai, China On Two-Finger Grasing of Deformable Planar Objects Yan-Bin Jia Feng
More informationDETC2003/DAC AN EFFICIENT ALGORITHM FOR CONSTRUCTING OPTIMAL DESIGN OF COMPUTER EXPERIMENTS
Proceedings of DETC 03 ASME 003 Design Engineering Technical Conferences and Comuters and Information in Engineering Conference Chicago, Illinois USA, Setember -6, 003 DETC003/DAC-48760 AN EFFICIENT ALGORITHM
More informationPreconditioning techniques for Newton s method for the incompressible Navier Stokes equations
Preconditioning techniques for Newton s method for the incomressible Navier Stokes equations H. C. ELMAN 1, D. LOGHIN 2 and A. J. WATHEN 3 1 Deartment of Comuter Science, University of Maryland, College
More informationA Simple And Efficient FEM-Implementation Of The Modified Mohr-Coulomb Criterion Clausen, Johan Christian; Damkilde, Lars
Aalborg Universitet A Simle And Efficient FEM-Imlementation Of The Modified Mohr-Coulomb Criterion Clausen, Johan Christian; Damkilde, Lars Published in: Proceedings of the 9th Nordic Seminar on Comutational
More informationNumerical simulation of bird strike in aircraft leading edge structure using a new dynamic failure model
Numerical simulation of bird strike in aircraft leading edge structure using a new dynamic failure model Q. Sun, Y.J. Liu, R.H, Jin School of Aeronautics, Northwestern Polytechnical University, Xi an 710072,
More informationCharacteristics of Beam-Based Flexure Modules
Shorya Awtar e-mail: shorya@mit.edu Alexander H. Slocum e-mail: slocum@mit.edu Precision Engineering Research Grou, Massachusetts Institute of Technology, Cambridge, MA 039 Edi Sevincer Omega Advanced
More informationChapter 2 Introductory Concepts of Wave Propagation Analysis in Structures
Chater 2 Introductory Concets of Wave Proagation Analysis in Structures Wave roagation is a transient dynamic henomenon resulting from short duration loading. Such transient loadings have high frequency
More informationKEY ISSUES IN THE ANALYSIS OF PILES IN LIQUEFYING SOILS
4 th International Conference on Earthquake Geotechnical Engineering June 2-28, 27 KEY ISSUES IN THE ANALYSIS OF PILES IN LIQUEFYING SOILS Misko CUBRINOVSKI 1, Hayden BOWEN 1 ABSTRACT Two methods for analysis
More informationChurilova Maria Saint-Petersburg State Polytechnical University Department of Applied Mathematics
Churilova Maria Saint-Petersburg State Polytechnical University Deartment of Alied Mathematics Technology of EHIS (staming) alied to roduction of automotive arts The roblem described in this reort originated
More informationCovariance Matrix Estimation for Reinforcement Learning
Covariance Matrix Estimation for Reinforcement Learning Tomer Lancewicki Deartment of Electrical Engineering and Comuter Science University of Tennessee Knoxville, TN 37996 tlancewi@utk.edu Itamar Arel
More informationAN ALTERNATIVE DESCRIPTION OF SWING-BY TRAJECTORIES IN TWO AND THREE DIMENSIONS
ADVANCES IN SPACE DYNAMICS 4: CELESTIAL MECHANICS AND ASTRONAUTICS, H. K. Kuga, Editor, 1-14 (004). Instituto Nacional de Pesquisas Esaciais INPE, São José dos Camos, SP, Brazil. ISBN 85-17-0001-9 AN ALTERNATIVE
More informationThe Numerical Simulation of Gas Turbine Inlet-Volute Flow Field
World Journal of Mechanics, 013, 3, 30-35 doi:10.436/wjm.013.3403 Published Online July 013 (htt://www.scir.org/journal/wjm) The Numerical Simulation of Gas Turbine Inlet-Volute Flow Field Tao Jiang 1,
More informationINFLUENCE OF BEARING DEGRADATION ON THE BEHAVIOUR OF MULTI-BOLT COMPOSITE JOINTS WITH HOLE-LOCATION ERROR
ECCM6-6 TH EUROPEAN CONFERENCE ON COMPOSITE MATERIALS, Seville, Sain, -6 June 04 INFLUENCE OF BEARING DEGRADATION ON THE BEHAVIOUR OF MULTI-BOLT COMPOSITE JOINTS WITH HOLE-LOCATION ERROR J. Lecomte a,b*,
More informationA MIXED CONTROL CHART ADAPTED TO THE TRUNCATED LIFE TEST BASED ON THE WEIBULL DISTRIBUTION
O P E R A T I O N S R E S E A R C H A N D D E C I S I O N S No. 27 DOI:.5277/ord73 Nasrullah KHAN Muhammad ASLAM 2 Kyung-Jun KIM 3 Chi-Hyuck JUN 4 A MIXED CONTROL CHART ADAPTED TO THE TRUNCATED LIFE TEST
More informationFigure : An 8 bridge design grid. (a) Run this model using LOQO. What is the otimal comliance? What is the running time?
5.094/SMA53 Systems Otimization: Models and Comutation Assignment 5 (00 o i n ts) Due Aril 7, 004 Some Convex Analysis (0 o i n ts) (a) Given ositive scalars L and E, consider the following set in three-dimensional
More informationFig. 21: Architecture of PeerSim [44]
Sulementary Aendix A: Modeling HPP with PeerSim Fig. : Architecture of PeerSim [] In PeerSim, every comonent can be relaced by another comonent imlementing the same interface, and the general simulation
More informationACOUSTIC PREDICTIONS IN OFFSHORE PLATFORMS
ACOUSTIC PREDICTIONS IN OFFSHORE PLATFORMS Luiz Antonio Vaz Pinto Deartamento de Engenharia Naval & Oceânica Escola Politécnica UFRJ Centro de Tecnologia Sala C-03 vaz@eno.coe.ufrj.br Frederico Novaes
More informationPressure-sensitivity Effects on Toughness Measurements of Compact Tension Specimens for Strain-hardening Solids
American Journal of Alied Sciences (9): 19-195, 5 ISSN 1546-939 5 Science Publications Pressure-sensitivity Effects on Toughness Measurements of Comact Tension Secimens for Strain-hardening Solids Abdulhamid
More informationM6e Gyroscope with three Axes
Fakultät für hysik und Geowissenschaften hysikalisches Grundraktikum 6e Gyroscoe with three Axes Tasks 1. Determine the moment of inertia of the gyro disk from a measurement of the angular acceleration
More informationSimulation of 3-Phase 2- Stator Induction Motor Using MATLAB Platform
International Journal of Alied Engineering Research ISSN 0973-456 Volume 3, Number (08). 9437-944 Simulation of 3-Phase - Stator Induction Motor Using MATLAB Platform Pallavi R.Burande Deartment of Electrical
More informationImpact Damage Detection in Composites using Nonlinear Vibro-Acoustic Wave Modulations and Cointegration Analysis
11th Euroean Conference on Non-Destructive esting (ECND 214), October 6-1, 214, Prague, Czech Reublic More Info at Oen Access Database www.ndt.net/?id=16448 Imact Damage Detection in Comosites using Nonlinear
More informationUsing a Computational Intelligence Hybrid Approach to Recognize the Faults of Variance Shifts for a Manufacturing Process
Journal of Industrial and Intelligent Information Vol. 4, No. 2, March 26 Using a Comutational Intelligence Hybrid Aroach to Recognize the Faults of Variance hifts for a Manufacturing Process Yuehjen E.
More informationNonlinear Static Analysis of Cable Net Structures by Using Newton-Raphson Method
Nonlinear Static Analysis of Cable Net Structures by Using Newton-Rahson Method Sayed Mahdi Hazheer Deartment of Civil Engineering University Selangor (UNISEL) Selangor, Malaysia hazheer.ma@gmail.com Abstract
More informationUsing the Divergence Information Criterion for the Determination of the Order of an Autoregressive Process
Using the Divergence Information Criterion for the Determination of the Order of an Autoregressive Process P. Mantalos a1, K. Mattheou b, A. Karagrigoriou b a.deartment of Statistics University of Lund
More informationYixi Shi. Jose Blanchet. IEOR Department Columbia University New York, NY 10027, USA. IEOR Department Columbia University New York, NY 10027, USA
Proceedings of the 2011 Winter Simulation Conference S. Jain, R. R. Creasey, J. Himmelsach, K. P. White, and M. Fu, eds. EFFICIENT RARE EVENT SIMULATION FOR HEAVY-TAILED SYSTEMS VIA CROSS ENTROPY Jose
More informationA General Damage Initiation and Evolution Model (DIEM) in LS-DYNA
9th Euroean LS-YNA Conference 23 A General amage Initiation and Evolution Model (IEM) in LS-YNA Thomas Borrvall, Thomas Johansson and Mikael Schill, YNAmore Nordic AB Johan Jergéus, Volvo Car Cororation
More informationAn Investigation on the Numerical Ill-conditioning of Hybrid State Estimators
An Investigation on the Numerical Ill-conditioning of Hybrid State Estimators S. K. Mallik, Student Member, IEEE, S. Chakrabarti, Senior Member, IEEE, S. N. Singh, Senior Member, IEEE Deartment of Electrical
More informationCOMPARISON OF VARIOUS OPTIMIZATION TECHNIQUES FOR DESIGN FIR DIGITAL FILTERS
NCCI 1 -National Conference on Comutational Instrumentation CSIO Chandigarh, INDIA, 19- March 1 COMPARISON OF VARIOUS OPIMIZAION ECHNIQUES FOR DESIGN FIR DIGIAL FILERS Amanjeet Panghal 1, Nitin Mittal,Devender
More informationRecent Developments in Multilayer Perceptron Neural Networks
Recent Develoments in Multilayer Percetron eural etworks Walter H. Delashmit Lockheed Martin Missiles and Fire Control Dallas, Texas 75265 walter.delashmit@lmco.com walter.delashmit@verizon.net Michael
More informationSIMULATION OF DIFFUSION PROCESSES IN LABYRINTHIC DOMAINS BY USING CELLULAR AUTOMATA
SIMULATION OF DIFFUSION PROCESSES IN LABYRINTHIC DOMAINS BY USING CELLULAR AUTOMATA Udo Buschmann and Thorsten Rankel and Wolfgang Wiechert Deartment of Simulation University of Siegen Paul-Bonatz-Str.
More informationA Qualitative Event-based Approach to Multiple Fault Diagnosis in Continuous Systems using Structural Model Decomposition
A Qualitative Event-based Aroach to Multile Fault Diagnosis in Continuous Systems using Structural Model Decomosition Matthew J. Daigle a,,, Anibal Bregon b,, Xenofon Koutsoukos c, Gautam Biswas c, Belarmino
More informationParallel Quantum-inspired Genetic Algorithm for Combinatorial Optimization Problem
Parallel Quantum-insired Genetic Algorithm for Combinatorial Otimization Problem Kuk-Hyun Han Kui-Hong Park Chi-Ho Lee Jong-Hwan Kim Det. of Electrical Engineering and Comuter Science, Korea Advanced Institute
More informationu y
VO., NO., FEBRUARY 8 ISSN 89-668 6-8 Asian Research Publishing Network (ARPN). All rights reserved. NON-NEWTONIAN EFFECTS OF OAD CARRYING CAPACITY AND FRICTIONA FORCE USING RABINOWITS FUID ON TE PERFORMANCE
More informationOn Line Parameter Estimation of Electric Systems using the Bacterial Foraging Algorithm
On Line Parameter Estimation of Electric Systems using the Bacterial Foraging Algorithm Gabriel Noriega, José Restreo, Víctor Guzmán, Maribel Giménez and José Aller Universidad Simón Bolívar Valle de Sartenejas,
More informationPosition Control of Induction Motors by Exact Feedback Linearization *
BULGARIAN ACADEMY OF SCIENCES CYBERNETICS AND INFORMATION TECHNOLOGIES Volume 8 No Sofia 008 Position Control of Induction Motors by Exact Feedback Linearization * Kostadin Kostov Stanislav Enev Farhat
More informationFINITE ELEMENT SIMULATION OF BACKWARD EXTRUSION DIES USING SHRINK FITTED RINGS
Vienna, AUSTRIA, 000, Setember 5-8 FINITE ELEMENT SIMULATION OF BACKWARD EXTRUSION DIES USING SHRINK FITTED RINGS M.E. Yurci 1, V. Taskin and N. Urkmez 1 Yildiz Technical University, Istanbul, Turkey Trakya
More informationChapter 1 Fundamentals
Chater Fundamentals. Overview of Thermodynamics Industrial Revolution brought in large scale automation of many tedious tasks which were earlier being erformed through manual or animal labour. Inventors
More informationDomain Dynamics in a Ferroelastic Epilayer on a Paraelastic Substrate
Y. F. Gao Z. Suo Mechanical and Aerosace Engineering Deartment and Princeton Materials Institute, Princeton University, Princeton, NJ 08544 Domain Dynamics in a Ferroelastic Eilayer on a Paraelastic Substrate
More informationTORSIONAL VIBRATION SUPPRESSION IN AUTOMATIC TRANSMISSION POWERTRAIN USING CENTRIFUGAL PEN- DULUM VIBRATION ABSORBER
TORSIONAL VIBRATION SUPPRESSION IN AUTOMATIC TRANSMISSION POWERTRAIN USING CENTRIFUGAL PEN- DULUM VIBRATION ABSORBER Takashi Nakae and Takahiro Ryu Oita University, Faculty of Engineering, Deartment of
More informationNumerical Study on the Oil Pump System of Rotary Compressor
Purdue University Purdue e-pubs International Comressor Engineering Conference School of Mechanical Engineering 2012 Numerical Study on the Oil Pum System of Rotary Comressor Chunhui Liu yuanym@shec.com.cn
More informationAnalysis of cold rolling a more accurate method
Analysis of cold rolling a more accurate method 1.1 Rolling of stri more accurate slab analysis The revious lecture considered an aroximate analysis of the stri rolling. However, the deformation zone in
More informationDIFFERENTIAL evolution (DE) [3] has become a popular
Self-adative Differential Evolution with Neighborhood Search Zhenyu Yang, Ke Tang and Xin Yao Abstract In this aer we investigate several self-adative mechanisms to imrove our revious work on [], which
More informationUncorrelated Multilinear Principal Component Analysis for Unsupervised Multilinear Subspace Learning
TNN-2009-P-1186.R2 1 Uncorrelated Multilinear Princial Comonent Analysis for Unsuervised Multilinear Subsace Learning Haiing Lu, K. N. Plataniotis and A. N. Venetsanooulos The Edward S. Rogers Sr. Deartment
More informationNumerical and experimental investigation on shot-peening induced deformation. Application to sheet metal forming.
Coyright JCPDS-International Centre for Diffraction Data 29 ISSN 197-2 511 Numerical and exerimental investigation on shot-eening induced deformation. Alication to sheet metal forming. Florent Cochennec
More informationStudy on Characteristics of Sound Absorption of Underwater Visco-elastic Coated Compound Structures
Vol. 3, No. Modern Alied Science Study on Characteristics of Sound Absortion of Underwater Visco-elastic Coated Comound Structures Zhihong Liu & Meiing Sheng College of Marine Northwestern Polytechnical
More informationDETERMINATION OF TRAIN SPEED LIMITS ON RENEWED TRACKS USING TAMPING MACHINE AND NUMERICAL OPTIMISATION
DETERMINATION O TRAIN SPEED LIMITS ON RENEWED TRACKS USING TAMPING MACHINE AND NUMERICAL OPTIMISATION V.L. Markine, C. Esveld Section of Road and Railway Engineering aculty of Civil Engineering, Delft
More information+++ Modeling of Structural-dynamic Systems by UML Statecharts in AnyLogic +++ Modeling of Structural-dynamic Systems by UML Statecharts in AnyLogic
Modeling of Structural-dynamic Systems by UML Statecharts in AnyLogic Daniel Leitner, Johannes Krof, Günther Zauner, TU Vienna, Austria, dleitner@osiris.tuwien.ac.at Yuri Karov, Yuri Senichenkov, Yuri
More informationAnalysis of Group Coding of Multiple Amino Acids in Artificial Neural Network Applied to the Prediction of Protein Secondary Structure
Analysis of Grou Coding of Multile Amino Acids in Artificial Neural Networ Alied to the Prediction of Protein Secondary Structure Zhu Hong-ie 1, Dai Bin 2, Zhang Ya-feng 1, Bao Jia-li 3,* 1 College of
More informationTHE IMPACT OF ELEVATED MASTS ON LIGHTNING INCIDENCE AT THE RADIO-BASE-STATION VICINITIES
X International Symosium on Lihtnin Protection 9 th -13 th November, 9 Curitiba, Brazil THE IMPACT OF ELEVATED MASTS ON LIGHTNING INCIDENCE AT THE RADIO-BASE-STATION VICINITIES Rosilene Nietzsch Dias 1,
More informationA New Method of DDB Logical Structure Synthesis Using Distributed Tabu Search
A New Method of DDB Logical Structure Synthesis Using Distributed Tabu Search Eduard Babkin and Margarita Karunina 2, National Research University Higher School of Economics Det of nformation Systems and
More informationOn the Prediction of Material Failure in LS-DYNA : A Comparison Between GISSMO and DIEM
13 th International LS-YNA Users Conference Session: Constitutive Modeling On the Prediction of Material Failure in LS-YNA : A Comarison Between GISSMO and IEM Filie Andrade¹, Markus Feucht², Andre Haufe¹
More informationUnderstanding DPMFoam/MPPICFoam
Understanding DPMFoam/MPPICFoam Jeroen Hofman March 18, 2015 In this document I intend to clarify the flow solver and at a later stage, the article-fluid and article-article interaction forces as imlemented
More information