%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