NONLINEAR ANALYSIS OF PULL IN VOLTAGE IN MICRO- CANTILEVER BEAM
|
|
- Ilene Singleton
- 5 years ago
- Views:
Transcription
1 International Workshop SMART MATERIALS, STRUCTURES & NDT in AEROSPACE Conference NDT in Canada November 011, Montreal, Quebec, Canada NONLINEAR ANALYSIS OF PULL IN VOLTAGE IN MICRO- CANTILEVER BEAM M. Amin Changizi 1, Armin Hadadian, Ion Stiharu 3 1 Ph.D. Candidate, Concordia University, mo_chang@encs.concordia.ca MSc. Student, Concorida University, a_hadad@encs.concordia.ca 3 Professor of Mechanical and Industrial Engineering, Concordia University, istih@encs.concordia.ca ABSTRACT Micro-cantilever beams are structures of great interest in MEMS due to their versatility and simplicity to fabricate. The interest in micro-cantilevers has driven investigations from various perspectives including static and dynamic performances under certain influences such as potential fields. This paper is studying the non-linear differential equation that models the dynamics of a microstructure such a cantilever beam which is subjected to electrostatic field. The model is used to evaluate the critical pull-in voltage. This model is analyzed based on the adopted model of stiffness of the cantilever. The one degree of freedom non-linear differential equation used to model the dynamics of the cantilever subjected to electric field close to snapon is highly stiff and only Isode algorithm was found to yield correct solution to the problem. Isode is equipped with a robust adaptive time step selection mechanism that enables solutions to very stiff problems, as the one under discussion. The equivalent stiffness of the model was considered based on four different models selected from the literature. The stiffness model suitable for the best match in deflection is proved to be different from the model that yields the best match in the resonant frequency. Pull-in voltage is a topic of high interest as most of micro-cantilever like structures operates under electric files. Pull-in voltage has been investigated from the theoretical perspective. Effect of structural damping for large deflection of micro-cantilever beam was studied numerically in this work. Also, effect of different kind of impulse voltages on pulling voltage was studied. A closed from of time response to step voltage for un-damped system was derived and pull in voltage of such system was calculated. At the end, a reduced form of nonlinear ODE that can be used to derive the pull-in voltage is presented. 011 CANSMART CINDE IZFP
2 INTRODUCTION Micro-cantilever beams are structures of great interest in MEMS due to simplicity to fabricate. Various aspects of static and dynamic behaviours of the micro-cantilever beams subjected to potential fields, thermal effects, manufacturing influence, inter-laminar stress, or geometric configuration have been studied. Pull-in voltage represents a topic of high interest in the study of micro beams. It is utilized to identify the performance limits of a micro-cantilever beam with specific geometries. Pull-in voltage indicates where the structures become unstable. At this point, the beam is attracted by the fixed electrode when it reaches a position that corresponds to /3 of the original gap between the beam and the fixed electrode. Due to the operation of micro-cantilever under electric fields theoretical and experimental study of pull-in voltage has been conducted in great number of publications. The pull-in voltage is extracted from the governing differential equation which defines the dynamic of the cantilever beam. Energy method [1,] and Hamiltonian method [3] have been employed to derive the governing equation of deflection for a micro-cantilever beam under electrostatics field. Since the governing equations are nonlinear different approaches have been used to simplify and consequently finding the pull-in voltage. Taylor series are most utilized approach for linearization of the equations [4-8]. Finite Element Method (FEM) is another approach to calculate pull-in voltage of micro-beams [6]. Small deflections were also assumed to determine pull-in voltage and the results of the numerical solution were compared with experimental results [9]. The comparison shows that the longer the cantilever is, the higher the error is. However, the error would be significantly lower when the cantilever is subjected to potentials substantially below of the snap-on voltage [10]. Runge-Kutta algorithm [11] and perturbation method [1] have been employed to solve the Duffing equations derived to model the dynamics of micro-cantilever beam under electrostatic field and harmonic excitation, respectively. Continuum models for small deflection for micro-cantilever beams was studied and Taylor series built as orthogonal functions for linearization of the ODE [13]. Dimensionless continuous beam theory has been utilized to derive the governing equations of dynamic behaviour of the micro-beam [14]. The effect of wih and thickness of the beam on the resonant frequency has been experimentally and theoretically investigated in [15]. GOVERNING EQUATIONS The dynamic behaviour of an electrified micro-beam is modeled by an equivalent lump mass and a spring as shown in Figure CANSMART CINDE IZFP
3 Fig 1. The schematic of a mass-spring damper system of a beam The dynamics of the system in MEMS is defined by the following governing equation as [43]: d y( t) dy( t) f ( t) + ξω n + ωn y( t) = (1) m where y defines the deflection of the beam and f (t) is the electrostatic force which has been introduced as ε 0AV f ( t) = ( g y( t)) () in which ε 0, A, V, g and y(t) are electrical permittivity of air, cross section area, voltage, gap distance and deflection of the beam respectively. ωn and m are used to define the natural frequency and mass of the system, respectively. As a result, the equation (1) can be rewritten as: d y( t) dy( t) ε 0 AV + ξω ( ) n + ωn y t = (3) m( g y( t)) where the initial conditions (initial speed at reference position and time) for this ODE are respectively assumed as follows: = 0 dy y and = v t=0 0 (4) t= 0 This is a nonlinear equation and so far no analytical solution has been proposed to find its answer in a close form. This equation becomes more complicated when one extends it to micro-level dimensions which may result in a stiff ODE. There have been many contributions in the literature to solve this problem by using numerical methods [16-18]. The main contribution of the current paper is solving equation (3) by using Lie symmetry method. In this method, the order of differential equation is reduced by one order. Therefore, instead of solving a second order ODE, a first order ODE is solved that by all means it is easier to treat. With cumbersome mathematical method which is called Lie symmetric one can show that the governing equation (3) is reduced to 011 CANSMART CINDE IZFP
4 dv ε0 AV 3 + ξω nv + ( ωnr ) v = 0 (5) dr m( g r) in which 1 v = (6) dy 1 This is a first order ODE with v(0) = as the initial condition. According the recent v0 investigations there is no one-parameter group that satisfies the symmetric condition of equation (5). It is the reason which there is no closed form analytical solution for this ODE. One can show that there is no transformation of scaling or rotation symmetry for equation (5). This equation has a singularity (where r = g ) and it cannot be integrated in close form. Therefore, the numerical method approach is used to solve it. In equation (5) if we neglect damping term the equation will simplified to: This equation is separable and the solution is: ε 0AV 3 nr v dv + ( ω ) = 0 dr m( g r) (7) v = m( g r) 3 ω r m ω r mg + ε avo c mr + c mg 1 1 (8) 1 where is constant. According to Lie symmetry v = and r = y(t) so: dy( t) 1 m( g y( t)) = dy( t) 3 ω y( t) m ω y( t) mg + εavo c1my ( t) + c1mg (9) and m( g y) t = dy + c 3 (10) ω y m ω y mg + ε avo c1my + c1mg The above integral can be simplified as below: ( )( ) ( ) m(ellipticf j, k d g + EllipticPi j, h, k (e d) t = + c (c e)(c g) (11) 011 CANSMART CINDE IZFP
5 in which g e ( ) 1, c d and e h = k = h j = x g d ( c e) h d x and EllipticF is incomplete elliptic integral of the first kind and EllipticPi is incomplete elliptic integrals of the third kind. Parameters c, d and e are defined as the values of X which are the roots of the following equation (1) ω X m ω X mg + εavo c mx + c mg = (13) As an example of the solution a cantilever beam with length of 00 µm, wih of 0 µm, thickness of µm and the gap is 8 µm is assumed. The deflection of the beam when it is electrified with pull-in voltage and a voltage which is higher than pull-in voltage is determined and plotted in Figure and 3, respectively. Fig. Deflection of the micro cantilever beam versus time when it is electrified with V (pull-in voltage) 011 CANSMART CINDE IZFP
6 Fig 3. Deflection of the micro cantilever beam versus time when it is electrified with V As it can be realized the pull-in voltage in this special case is equal to V. For a voltage higher than the pull-in voltage, the beam shows an unstable behaviour which is correlated to the time when the beam snaps on the bottom electrode. It is important to mentioned that when the operating electrical field is less than pull-in voltage the behaviour of the beam is harmonic. PARAMETRIC STUDY The behaviour of the micro cantilever beam with defined geometry as presented in previous section under different voltages has been conducted as a parametric study. The effect of the variation of electrical voltage in vicinity of the pull-in voltage, on the dynamic behaviour of the beam has been calculated and the results are presented in Figure 4. Fig 4. Dynamic behaviour of the beam exposed to different voltages close to pull-in voltage. 011 CANSMART CINDE IZFP
7 As it can be realized from the Figure 4, the magnitude of the applied voltage has a great effect on the dynamic behaviour of the beam. It can be seen that when the voltage is approaching to the pull-in voltage, a flat region is appeared in the plots which is correlated to saddle point of the equation. CONCLUSION In the present paper the dynamic behaviour of a micro- cantilever under electrical field with voltages close to pull-in voltage was analytically investigated and validated experimentally against literature data. The Lie symmetry method was employed to reduce the order of the ODE and consequently the particular exact solution of the governing equation was presented. The pullin voltage of a beam with a defined geometry was calculated. It was shown that the behaviour of the beam significantly depends on the pull-in voltage. Beams show unstable behaviour when are subjected to a fields created by potentials higher than pull-in voltage. REFERENCES 1. H. Yuh-Chung, "Closed form solutions for the pull-in voltage of micro curled beams subjected to electrostatic loads," Journal of Micromechanics and Microengineering, vol. 16, p. 648, C. o.-k. Chen, H. Lai, and C.-C. Liu, "Application of hybrid differential transformation/finite difference method to nonlinear analysis of micro fixed-fixed beam," Microsystem Technologies, vol. 15, pp , Y. C. Hu, C. M. Chang, and S. C. Huang, "Some design considerations on the electrostatically actuated microstructures," Sensors & Actuators: A. Physical, vol. 11, pp , L. Castaner, A. Rodr guez, J. Pons, and S. D. Senturia, "Pull-in time energy product of electrostatic actuators: comparison of experiments with simulation," Sensors & Actuators: A. Physical, vol. 83, pp , E. K. Chan and R. W. Dutton, "Electrostatic micromechanical actuator with extended range of travel," Journal of microelectromechanical Systems, vol. 9, pp , H. Busta, R. Amantea, D. Furst, J. M. Chen, M. Turowski, and C. Mueller, "A MEMS shield structure for controlling pull-in forces and obtaining increased pull-in voltages," Journal of Micromechanics and Microengineering, vol. 11, pp , Younes, "Investigation of the mechanical behaviors of microbeam-base MEMS devices " in Mechanical Engineerig. vol. M.Sc Blacksburg: Virginia Polytechnic Institute and State University, Y. Zhang and Y.-p. Zhao, "Numerical and analytical study on the pull-in instability of micro-structure under electrostatic loading," Sensors and Actuators A: Physical, vol. 17, pp , I. Schiele, J. Huber, B. Hillerich, and F. Kozlowski, "Surface-micromachined electrostatic microrelay," Sensors & Actuators: A. Physical, vol. 66, pp , E. S. Hung and S. D. Senturia, "Extending the travel range of analog-tuned electrostatic actuators," Microelectromechanical Systems, Journal of, vol. 8, pp , X. Wei, C. Anthony, D. Lowe, and M. Ward, "Design and Fabrication of a Nonlinear Micro Impact Oscillator," Procedia Chemistry, vol. 1, pp , CANSMART CINDE IZFP
8 1. W. Zhang, R. Baskaran, and K. L. Turner, "Effect of cubic nonlinearity on autoparametrically amplified resonant MEMS mass sensor," Sensors & Actuators: A. Physical, vol. 10, pp , M. I. Younis, E. M. Abdel-Rahman, and A. Nayfeh, "A reduced-order model for electrically actuated microbeam-based MEMS," Microelectromechanical Systems, Journal of, vol. 1, pp , J. H. Kuang and C. J. Chen, "Dynamic characteristics of shaped micro-actuators solved using the differential quadrature method," Journal of Micromechanics and Microengineering, vol. 14, pp , S. Chowdhury and et al., "A closed-form model for the pull-in voltage of electrostatically actuated cantilever beams," Journal of Micromechanics and Microengineering, vol. 15, p. 756, W. Zhang and G. Meng, "Nonlinear dynamical system of micro-cantilever under combined parametric and forcing excitations in MEMS," Sensors & Actuators: A. Physical, vol. 119, pp , W. Thomson, Theory of vibration with applications: Taylor & Francis, S. Pamidighantam, R. Puers, K. Baert, and H. A. C. Tilmans, "Pull-in voltage analysis of electrostatically actuated beam structures with fixed-fixed and fixed-free end conditions," Journal of Micromechanics and Microengineering, vol. 1, pp , CANSMART CINDE IZFP
Nonlinear Analysis of Pull-In Voltage of Twin Micro-Cantilever Beams
Avestia Publishing International Journal of Mechanical Engineering and Mechatronics (IJMEM) Volume 4, Year 017 ISSN: 199-74 DOI: 10.11159/ijmem.017.00 Nonlinear Analysis of Pull-In Voltage of Twin Micro-Cantilever
More informationAn Investigation of the Effects of Crack on the Zone of Pull-in Suppression in MicroElectromechanical Systems Using High-Frequency Excitation
AUT Journal of Mechanical Engineering AUT J. Mech. Eng., 1(1) (017) 99-108 DOI: 10.060/mej.016.803 An Investigation of the Effects of Crack on the Zone of Pull-in Suppression in MicroElectromechanical
More information874. The squeeze film effect on micro-electromechanical resonators
874. The squeeze film effect on micro-electromechanical resonators Shih-Chieh Sun 1, Chi-Wei Chung, Chao-Ming Hsu 3, Jao-Hwa Kuang 4 1,, 4 Department of Mechanical and Electromechanical Engineering National
More informationCHAPTER 5 FIXED GUIDED BEAM ANALYSIS
77 CHAPTER 5 FIXED GUIDED BEAM ANALYSIS 5.1 INTRODUCTION Fixed guided clamped and cantilever beams have been designed and analyzed using ANSYS and their performance were calculated. Maximum deflection
More informationProceedings of IMECE' ASME International Mechanical Engineering Congress and Exposition November 5-11, 2005, Orlando, Florida
DRAFT Proceedings of IMECE'5 5 ASME International Mechanical Engineering Congress and Exposition November 5-, 5, Orlando, Florida IMECE5-87 RESPONSE OF MEMS DEVICES UNDER SHOCK LOADS Mohammad I. Younis
More informationMICROELECTROMECHANICAL systems (MEMS)
144 JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 16, NO. 5, OCTOBER 7 Resonant Pull-In Condition in Parallel-Plate Electrostatic Actuators Andreu Fargas-Marques, Jasmina Casals-Terré, and Andrei M.
More informationA Vertical Electrostatic Actuator with Extended Digital Range via Tailored Topology
A Vertical Electrostatic Actuator with Extended Digital Range via Tailored Topology Yanhang Zhang and Martin L. Dunn Department of Mechanical Engineering University of Colorado at Boulder Boulder, CO 80309
More informationA LOW VOLTAGE CONTROLLER FOR A CHAOTIC MICRO RESONATOR
Proceedings of DETC2010 2010 Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference August 15 18, 2010, Montreal Quebec,
More informationNonlinear Dynamic Analysis of Cracked Micro-Beams Below and at the Onset of Dynamic Pull-In Instability
Journal of Solid Mechanics Vol., No. (8) pp. -3 Nonlinear Dynamic Analysis of Cracked Micro-Beams Below and at the Onset of Dynamic Pull-In Instability R. Hassannejad *, Sh. Amiri Jahed Department of Mechanical
More informationCHAPTER 4 DESIGN AND ANALYSIS OF CANTILEVER BEAM ELECTROSTATIC ACTUATORS
61 CHAPTER 4 DESIGN AND ANALYSIS OF CANTILEVER BEAM ELECTROSTATIC ACTUATORS 4.1 INTRODUCTION The analysis of cantilever beams of small dimensions taking into the effect of fringing fields is studied and
More informationDynamic Characteristics and Vibrational Response of a Capacitive Micro-Phase Shifter
Journal of Solid Mechanics Vol. 3, No. (0) pp. 74-84 Dynamic Characteristics and Vibrational Response of a Capacitive Micro-Phase Shifter M. Fathalilou, M. Sadeghi, S. Afrang, G. Rezazadeh 3,* Mechanical
More informationA Comparison of Pull-in Voltage Calculation Methods for MEMS-Based Electrostatic Actuator Design
A Comparison of Pull-in Voltage Calculation Methods for MEMS-Based Electrostatic Actuator Design Abstract Sazzadur Chowdhury, M. Ahmadi, W. C. Miller Department of Electrical and Computer Engineering University
More informationNonlinear vibration of an electrostatically actuated microbeam
11 (214) 534-544 Nonlinear vibration of an electrostatically actuated microbeam Abstract In this paper, we have considered a new class of critical technique that called the He s Variational Approach ()
More informationEfficient Multi-Physics Transient Analysis Incorporating Feedback-Dependent Boundary Conditions
Efficient Multi-Physics Transient Analysis Incorporating Feedback-Dependent Boundary Conditions Balasaheb Kawade, D. H. S. Maithripala, and Jordan M. Berg {b.kawade, sanjeeva.maithripala, jordan.berg}@ttu.edu
More informationComputers and Mathematics with Applications
Computers and Mathematics with Applications 5 2) 272 27 Contents lists available at ScienceDirect Computers and Mathematics with Applications journal homepage: wwwelseviercom/locate/camwa Solution of nonlinear
More informationA new cantilever beam-rigid-body MEMS gyroscope: mathematical model and linear dynamics
Proceedings of the International Conference on Mechanical Engineering and Mechatronics Toronto, Ontario, Canada, August 8-10 2013 Paper No. XXX (The number assigned by the OpenConf System) A new cantilever
More informationModel to Analyze Micro Circular Plate Subjected to Electrostatic Force
Sensors & Transducers, Vol. 15, Issue 6, June 1, pp. 19-1 Sensors & Transducers 1 by IFSA http://www.sensorsportal.com Model to Analyze Micro Circular Plate Subjected to Electrostatic Force Cao Tian-Jie
More informationMEMS PARALLEL PLATE ACTUATORS: PULL-IN, PULL-OUT AND OTHER TRANSITIONS
MEMS PARALLEL PLATE ACTUATORS: PULL-IN, PULL-OUT AND OTHER TRANSITIONS Subrahmanyam Gorthi, Atanu Mohanty and Anindya Chatterjee* Supercomputer Education and Research Centre, Indian Institute of Science,
More informationAn Accurate Model for Pull-in Voltage of Circular Diaphragm Capacitive Micromachined Ultrasonic Transducers (CMUT)
An Accurate Model for Pull-in Voltage of Circular Diaphragm Capacitive Micromachined Ultrasonic Transducers (CMUT) Mosaddequr Rahman, Sazzadur Chowdhury Department of Electrical and Computer Engineering
More informationThe Pull-In of Symmetrically and Asymmetrically Driven Microstructures and the Use in DC Voltage References
IEEE Instrumentation and Measurement Technology Conference Anchorage, AK, USA, 1-3 May 00 The Pull-In of Symmetrically and Asymmetrically Driven Microstructures and the Use in DC Voltage References L.A.
More informationMicrostructure cantilever beam for current measurement
264 South African Journal of Science 105 July/August 2009 Research Articles Microstructure cantilever beam for current measurement HAB Mustafa and MTE Khan* Most microelectromechanical systems (MEMS) sensors
More informationsensors ISSN c 2008 by MDPI
Sensors 2008, 8, 994-003 sensors ISSN 424-8220 c 2008 by MDPI www.mdpi.org/sensors Full Paper A Perturbation Method for the 3D Finite Element Modeling of Electrostatically Driven MEMS Mohamed Boutaayamou,,
More informationDesign and Simulation of Comb Drive Capacitive Accelerometer by Using MEMS Intellisuite Design Tool
Design and Simulation of Comb Drive Capacitive Accelerometer by Using MEMS Intellisuite Design Tool Gireesh K C 1, Harisha M 2, Karthick Raj M 3, Karthikkumar M 4, Thenmoli M 5 UG Students, Department
More informationINF5490 RF MEMS. LN03: Modeling, design and analysis. Spring 2008, Oddvar Søråsen Department of Informatics, UoO
INF5490 RF MEMS LN03: Modeling, design and analysis Spring 2008, Oddvar Søråsen Department of Informatics, UoO 1 Today s lecture MEMS functional operation Transducer principles Sensor principles Methods
More informationRobust Sliding mode Control for a frequency approximated nonlinear model of a micro cantilever
Robust Sliding mode Control for a frequency approximated nonlinear model of a micro cantilever Marialena Vagia Electrical and Computer Engineering Department, University of Patras,65,Greece(e-mail:mvagia@ece.upatras.gr).
More informationUSING ALE-FEM TO SIMULATE THE INSTABILITY OF BEAM-TYPE NANO-ACTUATOR IN THE PRESENCE OF ELECTROSTATIC FIELD AND DISPERSION FORCES *
IJST, Transactions of Mechanical Engineering, Vol. 37, No. M1, pp 1-9 Printed in The Islamic Republic of Iran, 2013 Shiraz University USING ALE-FEM TO SIMULATE THE INSTABILITY OF BEAM-TYPE NANO-ACTUATOR
More information1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load
1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load Nader Mohammadi 1, Mehrdad Nasirshoaibi 2 Department of Mechanical
More informationNatural vibration frequency of classic MEMS structures
Natural vibration frequency of classic MEMS structures Zacarias E. Fabrim PGCIMAT, UFRGS, Porto Alegre, RS, Brazil Wang Chong, Manoel Martín Pérez Reimbold DeTec, UNIJUI, Ijuí, RS, Brazil Abstract This
More informationSTATIC AND DYNAMIC ANALYSIS OF A BISTABLE MICRO-ACTUATOR
Proceedings of IECE2008 2008 ASE International echanical Engineering Congress and Exposition October-November 31-6, 2008, Boston, A USA IECE2008-67553 STATIC AND DYNAIC ANALYSIS OF A BISTABLE ICRO-ACTUATOR
More informationAnalysis of the manufacturing variation in a coupled micro resonators. array based on its designed values and measured eigenfrequencies
Analysis of the manufacturing variation in a coupled micro resonators array based on its designed values and measured eigenfrequencies Xueyong Wei, Nor Hayati Saad and Mike CL Ward School of Mechanical
More informationACTA TECHNICA NAPOCENSIS
599 TECHNICAL UNIVERSITY OF CLUJ-NAPOCA ACTA TECHNICA NAPOCENSIS Series: Applied Mathematics and Mechanics Vol. 55, Issue III, SIZE EFFECT ON THE DYNAMICAL BEHAVIOUR OF ELECTROSTATICALLY ACTUATED MEMS
More informationModeling and simulation of multiport RF switch
Journal of Physics: Conference Series Modeling and simulation of multiport RF switch To cite this article: J Vijay et al 006 J. Phys.: Conf. Ser. 4 715 View the article online for updates and enhancements.
More informationA Computational Approach for Pre-Shaping Voltage Commands of Torsional Micromirrors
Copyright 2009 Tech Science Press CMES, vol.45, no.3, pp.207-225, 2009 A Computational Approach for Pre-Shaping Voltage Commands of Torsional Micromirrors T. Starling 1, M. F. Daqaq 1 and G. Li 1,2 Abstract:
More informationRECENT technological developments have opened
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 15, NO. 5, OCTOBER 2006 1175 Electromechanical Model of Electrically Actuated Narrow Microbeams Romesh C. Batra, ASME, Fellow, Maurizio Porfiri, and Davide
More informationDYNAMIC ANALYSIS OF A DIGITAL MICROMIRROR DEVICE
Proceedings of IMECE ASME International Mechanical Engineering Congress and Exposition November -,, Chicago, Illinois, USA Proceedings of IMECE ASME International Mechanical Engineering Congress and Exposition
More informationResearch Article Dynamic Analysis of Cracked Cantilever, Electrostatic Microactuators Using Radial Basis Functions
Mathematical Problems in Engineering Volume 212, Article ID 865461, 11 pages doi:1.1155/212/865461 Research Article Dynamic Analysis of Cracked Cantilever, Electrostatic Microactuators Using Radial Basis
More informationNONLINEARITY is easily encountered in the resonant
122 JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 7, NO. 1, MARCH 1998 Nonlinearity and Hysteresis of Resonant Strain Gauges Chengqun Gui, Rob Legtenberg, Harrie A. C. Tilmans, Jan H. J. Fluitman, and
More informationNONLINEAR BEHAVIOR OF A PARAMETRIC RESONANCE-BASED MASS SENSOR
Proceedings of IMECE00 ASME International Mechanical Engineering Congress & Exposition November 17-, 00, New Orleans, Louisiana IMECE00-3361 NONLINEAR BEHAVIOR OF A PARAMETRIC RESONANCE-BASED MASS SENSOR
More informationThe Influence of Couple Stress Components and Electrostatic Actuation on Free Vibration Characteristics of Thin Micro-Plates
MATEC Web of Conferences 5, 0008 (06) DOI: 0.05/ matecconf/0650008 MIMT 06 The Influence of Couple Stress Components and Electrostatic Actuation on Free Vibration Characteristics of Thin Micro-Plates Amir
More informationFinite Element Static, Vibration and Impact-Contact Analysis of Micromechanical Systems
Finite Element Static, Vibration and Impact-Contact Analysis of Micromechanical Systems Alexey I. Borovkov Eugeny V. Pereyaslavets Igor A. Artamonov Computational Mechanics Laboratory, St.Petersburg State
More informationThickness Optimization of a Piezoelectric Converter for Energy Harvesting
Excerpt from the Proceedings of the COMSOL Conference 29 Milan Thickness Optimization of a Piezoelectric Converter for Energy Harvesting M. Guizzetti* 1, V. Ferrari 1, D. Marioli 1 and T. Zawada 2 1 Dept.
More informationComputer-Aided Generation of Nonlinear Reduced-Order Dynamic Macromodels II: Stress-Stiffened Case
270 JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 9, NO. 2, JUNE 2000 Computer-Aided Generation of Nonlinear Reduced-Order Dynamic Macromodels II: Stress-Stiffened Case Jan E. Mehner, Lynn D. Gabbay,
More informationParametrically Excited Electrostatic MEMS Cantilever Beam with Flexible Support. Mark Pallay, Shahrzad Towfighian
Parametrically Excited Electrostatic MEMS Cantilever Beam with Flexible Support Abstract Parametric resonators that show large amplitude of vibration are highly desired for sensing applications. In this
More informationAnalytical Design of Micro Electro Mechanical Systems (MEMS) based Piezoelectric Accelerometer for high g acceleration
Analytical Design of Micro Electro Mechanical Systems (MEMS) based Piezoelectric Accelerometer for high g acceleration Arti Arora 1, Himanshu Monga 2, Anil Arora 3 Baddi University of Emerging Science
More informationEE 5344 Introduction to MEMS CHAPTER 6 Mechanical Sensors. 1. Position Displacement x, θ 2. Velocity, speed Kinematic
I. Mechanical Measurands: 1. Classification of main types: EE 5344 Introduction MEMS CHAPTER 6 Mechanical Sensors 1. Position Displacement x, θ. Velocity, speed Kinematic dx dθ v =, = ω 3. Acceleration
More informationDesign of Electrostatic Actuators for MOEMS Applications
Design of Electrostatic Actuators for MOEMS Applications Dooyoung Hah 1,, Hiroshi Toshiyoshi 1,3, and Ming C. Wu 1 1 Department of Electrical Engineering, University of California, Los Angeles Box 951594,
More informationInvestigation of Size Effect on the Pull-in Instability of Beamtype NEMS under van der Waals Attraction
Available online at www.sciencedirect.com Procedia Engineering 10 (011) 1718 173 ICM11 Investigation of Size Effect on the Pull-in Instability of Beamtype NEMS under van der Waals Attraction Y. Tadi Beni
More informationDesign of a MEMS Capacitive Comb-drive Accelerometer
Design of a MEMS Capacitive Comb-drive Accelerometer Tolga Kaya* 1, Behrouz Shiari 2, Kevin Petsch 1 and David Yates 2 1 Central Michigan University, 2 University of Michigan * kaya2t@cmich.edu Abstract:
More informationExperimental analysis of spring hardening and softening nonlinearities in. microelectromechanical oscillators. Sarah Johnson
Experimental analysis of spring hardening and softening nonlinearities in microelectromechanical oscillators. Sarah Johnson Department of Physics, University of Florida Mentored by Dr. Yoonseok Lee Abstract
More informationCapacitive Sensor Interfaces
Capacitive Sensor Interfaces Bernhard E. Boser Berkeley Sensor & Actuator Center Dept. of Electrical Engineering and Computer Sciences University of California, Berkeley Capacitive Sensor Interfaces 1996
More informationInternational Journal of ChemTech Research CODEN (USA): IJCRGG ISSN: Vol.7, No.2, pp ,
International Journal of ChemTech Research CODEN (USA): IJCRGG ISSN: 0974-4290 Vol.7, No.2, pp 678-684, 2014-2015 ICONN 2015 [4 th -6 th Feb 2015] International Conference on Nanoscience and Nanotechnology-2015
More informationMagneto-Mechanical Modeling and Simulation of MEMS Sensors Based on Electroactive Polymers
Magneto-Mechanical Modeling and Simulation of MEMS Sensors Based on Electroactive Polymers F.J.O. RODRIGUES, L.M. GONÇALVES, J.H. CORREIA, P.M. MENDES University of Minho, Dept. Industrial Electronics,
More informationEE C245 ME C218 Introduction to MEMS Design Fall 2007
EE C245 ME C218 Introduction to MEMS Design Fall 2007 Prof. Clark T.-C. Nguyen Dept. of Electrical Engineering & Computer Sciences University of California at Berkeley Berkeley, CA 94720 Lecture 17: Energy
More informationEE C245 ME C218 Introduction to MEMS Design
EE C245 ME C218 Introduction to MEMS Design Fall 2007 Prof. Clark T.-C. Nguyen Dept. of Electrical Engineering & Computer Sciences University of California at Berkeley Berkeley, CA 94720 Lecture 22: Capacitive
More informationMEMS INERTIAL POWER GENERATORS FOR BIOMEDICAL APPLICATIONS
MEMS INERTIAL POWER GENERATORS FOR BIOMEDICAL APPLICATIONS P. MIAO, P. D. MITCHESON, A. S. HOLMES, E. M. YEATMAN, T. C. GREEN AND B. H. STARK Department of Electrical and Electronic Engineering, Imperial
More informationDESIGN AND OPTIMIZATION OF BULK MICROMACHINED ACCELEROMETER FOR SPACE APPLICATIONS
INTERNATIONAL JOURNAL ON SMART SENSING AND INTELLIGENT SYSTEMS, VOL. 1, NO. 4, DECEMBER 008 DESIGN AND OPTIMIZATION OF BULK MICROMACHINED ACCELEROMETER FOR SPACE APPLICATIONS Thampi Paul 1, Jaspreet Singh,
More informationME 237: Mechanics of Microsystems : Lecture. Modeling Squeeze Film Effects in MEMS
ME 237: Mechanics of Microsystems : Lecture Squeeze Film Effects in MEMS Anish Roychowdhury Adviser : Prof Rudra Pratap Department of Mechanical Engineering and Centre for Nano Science and Engineering
More informationTransduction Based on Changes in the Energy Stored in an Electrical Field
Lecture 6-1 Transduction Based on Changes in the Energy Stored in an Electrical Field Electric Field and Forces Suppose a charged fixed q 1 in a space, an exploring charge q is moving toward the fixed
More informationStudy on Tire-attached Energy Harvester for Lowspeed Actual Vehicle Driving
Journal of Physics: Conference Series PAPER OPEN ACCESS Study on Tire-attached Energy Harvester for Lowspeed Actual Vehicle Driving To cite this article: Y Zhang et al 15 J. Phys.: Conf. Ser. 66 116 Recent
More informationChapter 1 Introduction
Chapter 1 Introduction MEMS switches and relays have many properties that make them promising candidates to replace conventional relays or solid-state switches in a number of low-power applications. They
More informationDevelopment and Characterization of High Frequency Bulk Mode Resonators
Excerpt from the Proceedings of the COMSOL Conference 008 Hannover Development and Characterization of High Frequency Bulk Mode Resonators Hossein Pakdast 1*, Zachary James Davis 1 1 DTU Nanotech, Technical
More informationMICROELECTROMECHANICAL systems (MEMS) devices
1334 JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL 16, NO 6, DECEMBER 27 Application of the Generalized Differential Quadrature Method to the Study of Pull-In Phenomena of MEMS Switches Hamed Sadeghian,
More informationIntroduction Basic principles Finite element formulation Nonlinear algorithms Validation & examples Oofelie::MEMS, driven by SAMCEF Field Perspectives
Non linear behavior of electrostatically actuate micro-structures Dr. Ir. Stéphane Paquay, Open Engineering SA Dr. Ir. Véronique Rochus, ULg (LTAS-VIS) Dr. Ir. Stefanie Gutschmit, ULg (LTAS-VIS) Outline
More informationFour Degrees-of-Freedom Micromachined Gyroscope
Microsystems Laboratory Technical Report Four Degrees-of-Freedom Micromachined Gyroscope Cenk Acar 23 October 2001 Technical Report No: MSL-01003 cfl2001 Cenk Acar Contents Contents List of Figures Abstract
More informationSensors & Transducers 2016 by IFSA Publishing, S. L.
Sensors & Transducers, Vol. 96, Issue, January 206, pp. 52-56 Sensors & Transducers 206 by IFSA Publishing, S. L. http://www.sensorsportal.com Collapse Mode Characteristics of Parallel Plate Ultrasonic
More informationSimple models for piston-type micromirror behavior
INSTITUTE OFPHYSICS PUBISHING JOURNA OFMICROMECHANICS ANDMICROENGINEERING J. Micromech. Microeng. 6 (6) doi:.88/96-7/6//5 Simple models for piston-type micromirror behavior M H Miller, J A Perrault,GGParker,BPBettig
More informationGENERAL CONTACT AND HYSTERESIS ANALYSIS OF MULTI-DIELECTRIC MEMS DEVICES UNDER THERMAL AND ELECTROSTATIC ACTUATION
GENERAL CONTACT AND HYSTERESIS ANALYSIS OF MULTI-DIELECTRIC MEMS DEVICES UNDER THERMAL AND ELECTROSTATIC ACTUATION Yie He, James Marchetti, Carlos Gallegos IntelliSense Corporation 36 Jonspin Road Wilmington,
More informationSimulating Two-Dimensional Stick-Slip Motion of a Rigid Body using a New Friction Model
Proceedings of the 2 nd World Congress on Mechanical, Chemical, and Material Engineering (MCM'16) Budapest, Hungary August 22 23, 2016 Paper No. ICMIE 116 DOI: 10.11159/icmie16.116 Simulating Two-Dimensional
More informationAnalysis of pull-in Instability in Cantilever Microbeam
Analysis of pull-in Instability in Cantilever Microbeam [1] Gajendra giri National Institute of Technology, Kurukshetra, Hariyana Abstract: We make the static pull-in parameters of electro statically incited
More informationRECENTLY, microelectromechanical oscillators exploiting
310 JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 16, NO. 2, APRIL 2007 Linear and Nonlinear Tuning of Parametrically Excited MEMS Oscillators Barry E. DeMartini, Student Member, IEEE, Jeffrey F. Rhoads,
More informationRESONANCE PHENOMENA IN MICRO/NANOELECTROMECHANICAL SYSTEMS ZJAWISKA REZONANSOWE W UKŁADACH MIKRO/NANOELEKTROMECHANICZNCH
TECHNICL TRNSCTIONS FUNDMENTL SCIENCES CZSOPISMO TECHNICZNE NUKI PODSTWOWE -NP/0 NN FORYŚ*, NDRZEJ S. FORYŚ* RESONNCE PHENOMEN IN MICRO/NNOELECTROMECHNICL SYSTEMS ZJWISK REZONNSOWE W UKŁDCH MIKRO/NNOELEKTROMECHNICZNCH
More informationFinite Element Analysis of Piezoelectric Cantilever
Finite Element Analysis of Piezoelectric Cantilever Nitin N More Department of Mechanical Engineering K.L.E S College of Engineering and Technology, Belgaum, Karnataka, India. Abstract- Energy (or power)
More informationAbstract. 1 Introduction
In R. A. Adey et al., eds., Simulation and Design of Microsystems and Microstructures (Proceedings of the 1st International Conference on Simulation and Design of Microsystems and Microstructures), Computational
More informationFeedback. Joel Voldman* Massachusetts Institute of Technology *(with thanks to SDS)
Feedback Joel Voldman* Massachusetts Institute of Technology *(with thanks to SDS) Cite as: Joel Voldman, course materials for 6.777J / 2.372J Design and Fabrication of Microelectromechanical Devices,
More informationPlatform Isolation Using Out-of-plane Compliant Mechanism
Platform Isolation Using Out-of-plane Compliant Mechanism by Arpys Arevalo PhD Candidate in Electrical Engineering Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) King Abdullah University
More informationHEALTH MONITORING OF PLATE STRUCTURE USING PIEZO ELECTRIC PATCHES AND CURVATURE MODE SHAPE
ISSN (Online) : 2319-8753 ISSN (Print) : 2347-6710 International Journal of Innovative Research in Science, Engineering and Technology An ISO 3297: 2007 Certified Organization, Volume 2, Special Issue
More informationSuppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber
Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber J.C. Ji, N. Zhang Faculty of Engineering, University of Technology, Sydney PO Box, Broadway,
More informationSimulation of a Micro-Scale Out-of-plane Compliant Mechanism
Simulation of a Micro-Scale Out-of-plane Compliant Mechanism by Arpys Arevalo PhD Candidate in Electrical Engineering Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) King Abdullah
More informationAn improved brake squeal source model in the presence of kinematic and friction nonlinearities
An improved brake squeal source model in the presence of kinematic and friction nonlinearities Osman Taha Sen, Jason T. Dreyer, and Rajendra Singh 3 Department of Mechanical Engineering, Istanbul Technical
More informationActive elastomer components based on dielectric elastomers
Gummi Fasern Kunststoffe, 68, No. 6, 2015, pp. 412 415 Active elastomer components based on dielectric elastomers W. Kaal and S. Herold Fraunhofer Institute for Structural Durability and System Reliability
More informationToday s Presentation
Today s Presentation MEMS Comb Drive Actuator to Vary Tension & Compression of a Resonating Nano-Doubly Clamped Beam for High-Resolution & High Sensitivity Mass Detection Adam Hurst 1 John Regis 1 Chou
More informationResearch Article The Effects of Structure Defects on the Performance of a Micro Comb Resonator
Mathematical Problems in Engineering Volume 2010, Article ID 726843, 12 pages doi:10.1155/2010/726843 Research Article The Effects of Structure Defects on the Performance of a Micro Comb Resonator D. Guo
More informationMAHDI MOJAHEDI and HAMID MOEENFARD School of Mechanical Engineering Sharif University of Technology, Tehran, Iran
International Journal of Applied Mechanics Vol. 1, No. 2 (2009) 349 365 c Imperial College Press A NEW EFFICIENT APPROACH FOR MODELING AND SIMULATION OF NANO-SWITCHES UNDER THE COMBINED EFFECTS OF INTERMOLECULAR
More information2D BEAM STEERING USING ELECTROSTATIC AND THERMAL ACTUATION FOR NETWORKED CONTROL ABSTRACT
D BEAM STEERING USING ELECTROSTATIC AND THERMAL ACTUATION FOR NETWORKED CONTROL Jitendra Makwana 1, Stephen Phillips 1, Lifeng Wang 1, Nathan Wedge, and Vincenzo Liberatore 1 Department of Electrical Engineering,
More informationα Cubic nonlinearity coefficient. ISSN: x DOI: : /JOEMS
Journal of the Egyptian Mathematical Society Volume (6) - Issue (1) - 018 ISSN: 1110-65x DOI: : 10.1608/JOEMS.018.9468 ENHANCING PD-CONTROLLER EFFICIENCY VIA TIME- DELAYS TO SUPPRESS NONLINEAR SYSTEM OSCILLATIONS
More informationDESIGN AND FABRICATION OF THE MICRO- ACCELEROMETER USING PIEZOELECTRIC THIN FILMS
DESIGN AND FABRICATION OF THE MICRO- ACCELEROMETER USING PIEZOELECTRIC THIN FILMS JYH-CHENG YU and FU-HSIN LAI Department of Mechanical Engineering National Taiwan University of Science and Technology
More informationIntroduction to structural dynamics
Introduction to structural dynamics p n m n u n p n-1 p 3... m n-1 m 3... u n-1 u 3 k 1 c 1 u 1 u 2 k 2 m p 1 1 c 2 m2 p 2 k n c n m n u n p n m 2 p 2 u 2 m 1 p 1 u 1 Static vs dynamic analysis Static
More informationChapter 2 Nonlinear Modeling of Squeeze-Film Phenomena
Chapter 2 Nonlinear Modeling of Squeeze-Film Phenomena in Microbeam MEMS Reza N. Jazar Abstract Oscillating microplates attached to microbeams is the main part of many microresonators and micro-electro-mechanical
More informationDesign and Simulation of A MEMS Based Horseshoe Shaped Low Current Lorentz Deformable Mirror (LCL-DM).
Design and Simulation of A MEMS Based Horseshoe Shaped Low Current Lorentz Deformable Mirror (LCL-DM). Byoungyoul Park 1, Tao Chen 1, Cyrus Shafai 1 1 Electrical and Computer Engineering, University of
More informationNonlinear Vibration of the Double-Beams Assembly Subjected to A.C. Electrostatic Force
Copyright 21 Tech Science Press CMES, vol.6, no.1, pp.95-114, 21 Nonlinear Vibration of the Double-Beams Assembly Subjected to A.C. Electrostatic Force Shueei-Muh Lin 1 Abstract: In this study, the mathematical
More informationAn equivalent-circuit model. systems) electrostatic actuator using open-source. software Qucs
An equivalent-circuit model for MEMS electrostatic actuator using open-source software Qucs Makoto Mita 1 and Hiroshi Toshiyoshi 2a) 1 Institute of Space and Astronautical Science (ISAS), The Japan Aerospace
More informationModeling and Experimentation: Mass-Spring-Damper System Dynamics
Modeling and Experimentation: Mass-Spring-Damper System Dynamics Prof. R.G. Longoria Department of Mechanical Engineering The University of Texas at Austin July 20, 2014 Overview 1 This lab is meant to
More informationEE C245 / ME C218 INTRODUCTION TO MEMS DESIGN FALL 2011 C. Nguyen PROBLEM SET #7. Table 1: Gyroscope Modeling Parameters
Issued: Wednesday, Nov. 23, 2011. PROBLEM SET #7 Due (at 7 p.m.): Thursday, Dec. 8, 2011, in the EE C245 HW box in 240 Cory. 1. Gyroscopes are inertial sensors that measure rotation rate, which is an extremely
More informationStudying piezoelastic and piezomagnetoelastic configurations for different excitation frequencies in MEMS energy harvesters
JCAMECH Vol. 47, No., December 6, pp 4-46 DOI:.59/jcamech.7.495.5 Studying piezoelastic and piezomagnetoelastic configurations for different excitation frequencies in MEMS energy harvesters Saeid Shakki,
More informationON THE CHAOTIC VIBRATIONS OF ELECTROSTATICALLY ACTUATED ARCH MICRO/NANO RESONATORS: A PARAMETRIC STUDY
ON THE CHAOTIC VIBRATIONS OF ELECTROSTATICALLY ACTUATED ARCH MICRO/NANO RESONATORS: A PARAMETRIC STUDY FARID TAJADDODIANFAR School of Mechanical Engineering, College of Engineering, University of Tehran,
More informationEffect of AFM Cantilever Geometry on the DPL Nanomachining process
Int J Advanced Design and Manufacturing Technology, Vol. 9/ No. 4/ December 2016 75 Effect of AFM Cantilever Geometry on the DPL Nanomachining process A. R. Norouzi Department of New Sciences and Technologies,
More informationarxiv: v1 [physics.app-ph] 26 Sep 2017
ON THE LATERAL INSTABILITY ANALYSIS OF MEMS COMB-DRIVE ELECTROSTATIC TRANSDUCERS Binh Duc Truong Cuong Phu Le and Einar Halvorsen. arxiv:79.877v [physics.app-ph] 6 Sep 7 Keywords: Lateral instability MEMS
More informationOptimizing the Performance of MEMS Electrostatic Comb Drive Actuator with Different Flexure Springs
Optimizing the Performance of MEMS Electrostatic Comb Drive Actuator with Different Flexure Springs Shefali Gupta 1, Tanu Pahwa 1, Rakesh Narwal 1, B.Prasad 1, Dinesh Kumar 1 1 Electronic Science Department,
More informationEE C245 ME C218 Introduction to MEMS Design
EE C245 ME C218 Introduction to MEMS Design Fall 2007 Prof. Clark T.-C. Nguyen Dept. of Electrical Engineering & Computer Sciences University of California at Berkeley Berkeley, CA 94720 Lecture 23: Electrical
More informationPARAMETRIC ANALYSIS ON THE DESIGN OF RF MEMS SERIES SWITCHES
PARAMETRIC ANALYSIS ON THE DESIGN OF RF MEMS SERIES SWITCHES Julio A. Lonac, Prof. Gustavo A. Merletti, PhD student MicroLAB-RF-microwave and MEMS research center of the Universidad Nacional de San Martín,
More information