A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System
He J.-H. Anjum N. Skrzypacz P.S.
December 2021Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2021#7Issue 178 - 83 pp.
A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational principle. Additionally, this paper gives simple formula for the fast frequency estimation of the nonlinear oscillator. Only simple calculation is needed to have a relatively high accuracy results when compared with the other methods.
Amplitude-frequency relationship , Euler-Lagrange equation , MEMS oscillator , Variational theory
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National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, China
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
School of Science, Xi’an University of Architecture and Technology, Xi’an, China
School of Mathematical Sciences, Soochow University, Suzhou, China
Department of Mathematics, Government College University, Faisalabad, Pakistan
School of Science and Technology, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana, 010000, Kazakhstan
National Engineering Laboratory for Modern Silk
School of Mathematics and Information Science
School of Science
School of Mathematical Sciences
Department of Mathematics
School of Science and Technology
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