An Analytical Approach for Strongly Nonlinear Oscillator Arising in the Micro-Electromechanical System (MEMS)
In this study, the homotopy analysis method is used to obtain the asymptotic analytical solutions for the seventh-order temporal problem corresponds to a strongly nonlinear vibration arising in the microbeam-based microelectro mechanical system (MEMS). Numerical comparisons are conducted between the results obtained by the homotopy analysis and those analytical numerical results given in the literatures for authenticating the accuracy and correctness of this approach.