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.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] A laplace-based spiral contouring method for general pocket machining
    Jui-Jen Chuang
    Daniel C. H. Yang
    The International Journal of Advanced Manufacturing Technology, 2007, 34 : 714 - 723
  • [22] He–Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics
    Muhammad Nadeem
    Ji-Huan He
    Journal of Mathematical Chemistry, 2021, 59 : 1234 - 1245
  • [23] A laplace-based spiral contouring method for general pocket machining
    Chuang, Jui-Jen
    Yang, Daniel C. H.
    International Journal of Advanced Manufacturing Technology, 2007, 34 (7-8): : 714 - 723
  • [24] A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System
    He, Ji-Huan
    Anjum, Naveed
    Skrzypacz, Piotr Sebastian
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2021, 7 (01): : 78 - 83
  • [25] Study of nonlinear oscillators with u1/3 force by He's variational iteration method
    Oezis, Turgut
    Yidirim, Ahmet
    JOURNAL OF SOUND AND VIBRATION, 2007, 306 (1-2) : 372 - 376
  • [26] The Combined Laplace-Variational Iteration Method for Partial Differential Equations
    Matinfar, M.
    Saeidy, M.
    Ghasemi, M.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (02) : 93 - 101
  • [27] Frequency dependent iteration method for forced nonlinear oscillators
    Hoang, T.
    Duhamel, D.
    Foret, G.
    Yin, H. P.
    Argoul, P.
    APPLIED MATHEMATICAL MODELLING, 2017, 42 : 441 - 448
  • [28] Variational iteration method for fractional calculus - a universal approach by Laplace transform
    Guo-Cheng Wu
    Dumitru Baleanu
    Advances in Difference Equations, 2013
  • [29] Variational iteration method for fractional calculus - a universal approach by Laplace transform
    Wu, Guo-Cheng
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [30] On the variational homotopy perturbation method for nonlinear oscillators
    Fernandez, Francisco M.
    JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (02)
12345