Laplace-based variational iteration method for nonlinear oscillators in microelectromechanical system

被引：4
|
作者：
Zhang, Yanni [1 ,2 ]
Pang, Jing [1 ,2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot, Peoples R China
[2] Inner Mongolia Univ Technol, Inner Mongolia Key Lab Stat Anal Theory Life Data, Hohhot, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年
基金：
中国国家自然科学基金;
关键词：
Laplace transform; microelectromechanical systems; nonlinear oscillator; pull-in instability; variational iteration method; FREQUENCY-AMPLITUDE FORMULATION; PULL-IN INSTABILITY; PERTURBATION METHOD;
D O I：
10.1002/mma.6883
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear oscillator arising in a microelectromechanical system (MEMS) is difficult to be solved analytically due to the zero conditions. So the main objective of this work is to analyze the mathematical model of this system, and its approximate analytical solution is solved via the coupling variational iteration method and Laplace transform (LVIM). This method provides an efficient way to obtain the approximate nonlinear frequency and approximate solutions of MEMS. Moreover, LVIM also approximates the pull-in threshold in terms of model parameters. Finally, the results are compared with the exact one, and a good result is obtained.
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页数：7
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