Title of article :
A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System
Author/Authors :
He ، Ji-Huan National Engineering Laboratory for Modern Silk - College of Textile and Engineering - Soochow University , Anjum ، Naveed National Engineering Laboratory for Modern Silk - College of Textile and Engineering, School of Mathematical Sciences - Soochow University , Skrzypacz ، Piotr Sebastian School of Science and Technology - Nazarbayev University
Abstract :
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 semiinverse 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.
Keywords :
Variational theory , Euler , Lagrange equation , MEMS oscillator , Amplitude , frequency relationship
Journal title :
Journal of Applied and Computational Mechanics
Journal title :
Journal of Applied and Computational Mechanics
