Local nonlinear dynamics of MEMS arches actuated by fringing-field electrostatic actuation

作者: Mohammad Tausiff , Hassen M Ouakad , Hussain Alqahtani , Abdurahman Alofi , None

DOI: 10.1007/S11071-018-4731-Y

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摘要: The nonlinear dynamic behavior of a resonant MEMS arch microbeam actuated by fringing electric actuation is investigated in this paper. loaded with DC and AC harmonic load the ground electrodes placed at either side beam. curvature caused imbalance distribution field lines results resultant force. Euler–Bernoulli beam equation was used accordance shallow theory to get motion. Method multiple scales (MMS) perturbation technique perturb near fundamental frequency study its local vicinity considered frequency. Different midpoint elevations were effect on resonance MMS reveals that low initial elevation shows initially softening for small voltage excitation. Then, undergoes hardening when increased. Finally, returns back further increased higher values curling response graph. When increased, known undergo symmetry breaking before regaining even load. there region prior breaking. effective nonlinearity drops more negative making softened After regains symmetry, experiences significant drop now causing be highly high

参考文章(18)
Mohammad Ibrahim Younis, AH Nayfeh, None, A STUDY OF THE NONLINEAR RESPONSE OF A RESONANT MICRO-BEAM TO AN ELECTRIC ACTUATION Nonlinear Dynamics. ,vol. 31, pp. 91- 117 ,(2003) , 10.1023/A:1022103118330
Harrie A.C. Tilmans, Rob Legtenberg, Electrostatically driven vacuum-encapsulated polysilicon resonators part II. theory and performance Sensors and Actuators A-physical. ,vol. 45, pp. 67- 84 ,(1994) , 10.1016/0924-4247(94)00813-2
G.C. Turner, M.K. Andrews, Frequency Stabilisation Of Electrostatic Oscillators Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95. ,vol. 2, pp. 624- 626 ,(1995) , 10.1109/SENSOR.1995.721909
'Alī Hasan Nā'ifa, Introduction to perturbation techniques ,(1981)
Hassen M Ouakad, Mohammad I Younis, None, The dynamic behavior of MEMS arch resonators actuated electrically International Journal of Non-linear Mechanics. ,vol. 45, pp. 704- 713 ,(2010) , 10.1016/J.IJNONLINMEC.2010.04.005
Hassen M. Ouakad, Static response and natural frequencies of microbeams actuated by out-of-plane electrostatic fringing-fields International Journal of Non-linear Mechanics. ,vol. 63, pp. 39- 48 ,(2014) , 10.1016/J.IJNONLINMEC.2014.03.007
Ki Bang Lee, None, Non-contact electrostatic microactuator using slit structures: theory and a preliminary test Journal of Micromechanics and Microengineering. ,vol. 17, pp. 2186- 2196 ,(2007) , 10.1088/0960-1317/17/11/004
Mohammad I Younis, Eihab M Abdel-Rahman, Ali Nayfeh, None, A reduced-order model for electrically actuated microbeam-based MEMS IEEE\/ASME Journal of Microelectromechanical Systems. ,vol. 12, pp. 672- 680 ,(2003) , 10.1109/JMEMS.2003.818069
Yoav Linzon, Bojan Ilic, Stella Lulinsky, Slava Krylov, None, Efficient parametric excitation of silicon-on-insulator microcantilever beams by fringing electrostatic fields Journal of Applied Physics. ,vol. 113, pp. 163508- ,(2013) , 10.1063/1.4802680
Slava Krylov, Bojan R. Ilic, Stella Lulinsky, Bistability of curved microbeams actuated by fringing electrostatic fields Nonlinear Dynamics. ,vol. 66, pp. 403- 426 ,(2011) , 10.1007/S11071-011-0038-Y