Effect of size on the chaotic behavior of nano resonators
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- 作者：Hamed Alemansoura ; Ehsan Maani Miandoabb ; Hossein Nejat Pishkenaric ; nejat@sharif.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Resonator ; Chaos ; Melnikov's method ; Strain gradient theory
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：495-505
- 全文大小：5933 K
文摘
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Strain gradient theory is utilized to model the MEMS resonator.
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A new accurate lumped model is proposed for the actuation force.
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An analytical inequality in terms of the system parameters is developed by the Melnikov's method to identify the chaotic region.
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Numerical simulations are performed in order to investigate the effect of size on the chaotic regions.
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Strain gradient theory predicts occurrence of chaos at much lower amplitudes than classical theory.