Younis MI. MEMS linear and nonlinear statics and dynamics. New York: Springer Science & Business Media; 2011. [
Link] [
DOI:10.1007/978-1-4419-6020-7]
Younis MI, Ouakad HM, Alsaleem FM, Miles R, Cui W. Nonlinear dynamics of MEMS arches under harmonic electrostatic actuation. Journal of Microelectromechanical Systems. 2010;19(3):647-656. [
Link] [
DOI:10.1109/JMEMS.2010.2046624]
Charlot B, Sun W, Yamashita K, Fujita H, Toshiyoshi H. Bistable nanowire for micromechanical memory. Journal of Micromechanics and Microengineering. 2008;18(4):045005. [
Link] [
DOI:10.1088/0960-1317/18/4/045005]
Al Hafiz MA, Kosuru L, Ramini A, Chappanda KN, Younis MI. In-plane MEMS shallow arch beam for mechanical memory. Micromachines. 2016;7(10):191. [
Link] [
DOI:10.3390/mi7100191]
Intaraprasonk V, Fan S. Nonvolatile bistable all-optical switch from mechanical buckling. Applied Physics Letters. 2011;98(24):241104. [
Link] [
DOI:10.1063/1.3600335]
Joe DJ, Linzon Y, Adiga VP, Barton RA, Kim M, Ilic B, et al. Stress-based resonant volatile gas microsensor operated near the critically buckled state. Journal of Applied Physics. 2012;111(10):104517. [
Link] [
DOI:10.1063/1.4720473]
Ouakad HM. An electrostatically actuated MEMS arch band-pass filter. Shock and Vibration. 2013;20(4):809-819. [
Link] [
DOI:10.1155/2013/819398]
Zhang Y, Wang Y, Li Z, Huang Y, Li D. Snap-through and pull-in instabilities of an arch-shaped beam under an electrostatic loading. Journal of Microelectromechanical Systems. 2007;16(3):684-693. [
Link] [
DOI:10.1109/JMEMS.2007.897090]
Krylov S, Ilic BR, Schreiber D, Seretensky S, Craighead H. The pull-in behavior of electrostatically actuated bistable microstructures. Journal of Micromechanics and Microengineering. 2008;18(5):055026. [
Link] [
DOI:10.1088/0960-1317/18/5/055026]
Das K, Batra RC. Pull-in and snap-through instabilities in transient deformations of microelectromechanical systems. Journal of Micromechanics and Microengineering. 2009;19(3):035008. [
Link] [
DOI:10.1088/0960-1317/19/3/035008]
Krylov S, Dick N. Dynamic stability of electrostatically actuated initially curved shallow micro beams. Continuum Mechanics and Thermodynamics. 2010;22(6-8):445-468. [
Link] [
DOI:10.1007/s00161-010-0149-6]
Ouakad HM, Younis MI. The dynamic behavior of MEMS arch resonators actuated electrically. International Journal of Non-Linear Mechanics. 2010;45(7):704-713. [
Link] [
DOI:10.1016/j.ijnonlinmec.2010.04.005]
Bataineh AM, Younis MI. Dynamics of a clamped-clamped microbeam resonator considering fabrication imperfections. Microsystem Technologies. 2015;21(11):2425-2434. [
Link] [
DOI:10.1007/s00542-014-2349-7]
Chen X, Meguid SA. On the parameters which govern the symmetric snap-through buckling behavior of an initially curved microbeam. International Journal of Solids and Structures. 2015;66:77-87. [
Link] [
DOI:10.1016/j.ijsolstr.2015.04.011]
Mc Farland AW, Colton JS. Role of material microstructure in plate stiffness with relevance to microcantilever sensors. Journal of Micromechanics and Microengineering. 2005;15(5):1060. [
Link] [
DOI:10.1088/0960-1317/15/5/024]
Chen X, Meguid SA. Snap-through buckling of initially curved microbeam subject to an electrostatic force. Proceedings of the Royal Society A. 2015;471:20150072. [
Link] [
DOI:10.1098/rspa.2015.0072]
Ghayesh MH, Farokhi H, Alici G. Size-dependent electro-elasto-mechanics of MEMS with initially curved deformable electrodes. International Journal of Mechanical Sciences. 2015;103:247-264. [
Link] [
DOI:10.1016/j.ijmecsci.2015.09.011]
Tajaddodianfar F, Nejat Pishkenari H, Hairi Yazdi MR, Maani Miandoab E. Size-dependent bistability of an electrostatically actuated arch NEMS based on strain gradient theory. Journal of Physics D Applied Physics. 2015;48(24):245503. [
Link] [
DOI:10.1088/0022-3727/48/24/245503]
Tajaddodianfar F, Nejat Pishkenari H, Hairi Yazdi MR, Maani Miandoab E. On the dynamics of bistable micro/nano resonators: Analytical solution and nonlinear behavior. Communications in Nonlinear Science and Numerical Simulation. 2015;20(3):1078-1089. [
Link] [
DOI:10.1016/j.cnsns.2014.06.048]
Ghayesh MH, Farokhi H. Bistable nonlinear response of MEMS resonators. Nonlinear Dynamics. 2017;90(3):1627-1645. [
Link] [
DOI:10.1007/s11071-017-3753-1]
Lam DCC, Yang F, Chong ACM, Wang J, Tong P. Experiments and theory in strain gradient elasticity. Journal of the Mechanics and Physics of Solids. 2003;51(8):1477-1508. [
Link] [
DOI:10.1016/S0022-5096(03)00053-X]
Nikpourian AR, Ghazavi MR, Azizi S. On the nonlinear dynamics of a piezoelectrically tuned micro-resonator based on non-classical elasticity theories. International Journal of Mechanics and Materials in Design. 2018;14(1):1-19. [
Link] [
DOI:10.1007/s10999-016-9357-y]
Preumont A. Mechatronics: Dynamics of electromechanical and piezoelectric systems. Dordrecht: Springer Science & Business Media; 2006. [
Link]
Ballas RG. Piezoelectric multilayer beam bending actuators: Static and dynamic behavior and aspects of sensor integration. Heidelberg: Springer Science & Business Media; 2007. [
Link]
Azizi S, Ghazavi MR, Rezazadeh Gh, Ahmadian I, Cetinkaya C. Tuning the primary resonances of a micro resonator, using piezoelectric actuation. Nonlinear Dynamics. 2014;76(1):839-852. [
Link] [
DOI:10.1007/s11071-013-1173-4]
Farokhi H, Ghayesh MH, Amabili M. Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory. International Journal of Engineering Science. 2013;68:11-23. [
Link] [
DOI:10.1016/j.ijengsci.2013.03.001]
Meirovitch L. Fundamentals of vibrations. Long Grove: Waveland Press; 2010. [
Link]
Maani Miandoab E, Nejat Pishkenari H, Yousefi Koma A. Dynamic analysis of electrostatically actuated nanobeam based on strain gradient theory. International Journal of Structural Stability and Dynamics. 2015;15(04):1450059. [
Link] [
DOI:10.1142/S021945541450059X]
Nayfeh AH, Balachandran B. Applied nonlinear dynamics: Analytical, computational and experimental methods. Hoboken: John Wiley & Sons; 2008. [
Link]
Azizi S, Chorsi MT, Bakhtiari Nejad F. On the secondary resonance of a MEMS resonator: A conceptual study based on shooting and perturbation methods. International Journal of Non-Linear Mechanics. 2016;82:59-68. [
Link] [
DOI:10.1016/j.ijnonlinmec.2016.02.003]
Osterberg PM, Senturia SD. M-TEST: A test chip for MEMS material property measurement using electrostatically actuated test structures. Journal of Microelectromechanical Systems. 1997;6(2):107-118. [
Link] [
DOI:10.1109/84.585788]
