%0 Journal Article
%T A Variational Principle for a Nonlinear Oscillator Arising in the ā€ˇMicroelectromechanical System
%J Journal of Applied and Computational Mechanics
%I Shahid Chamran University of Ahvaz
%Z 2383-4536
%A He, Ji-Huan
%A Anjum, Naveed
%A Skrzypacz, Piotr Sebastian
%D 2021
%\ 01/01/2021
%V 7
%N 1
%P 78-83
%! A Variational Principle for a Nonlinear Oscillator Arising in the ā€ˇMicroelectromechanical System
%K Variational theory
%K Euler-Lagrange equation
%K MEMS oscillator
%K Amplitude-frequency relationship
%R 10.22055/jacm.2020.34847.2481
%X 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.
%U https://jacm.scu.ac.ir/article_16041_4ea02fd95a1d5a2556635d40687541ce.pdf