A simple approximation of periodic solutions to microelectromechanical system model of oscillating parallel plate capacitor
Skrzypacz P. He J.-H. Ellis G. Kuanyshbay M.
April 2026John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2026#49Issue 65834 - 5841 pp.
A nonlinear oscillator describing dynamics of parallel plate capacitor is considered with zero initial conditions. This case of initial conditions makes some effective methods, for example, the variational iteration method and the homotopy perturbation method, inapplicable. To overcome the shortcoming of classical methods, a simple transform is proposed to convert the problem into a traditional case where a standard frequency formulation is used to obtain the approximate solution. Microelectromechanical system (MEMS) oscillator is used as example to show the solution process. The obtained results are illustrated and compared with high-precision numerical solutions.
microelectromechanical system , nonlinear oscillator , periodic solution , pull-in instability
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School of Sciences and Humanities, Nazarbayev University, Nur-Sultan, Kazakhstan
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
School of Science, Xian University of Architecture and Technology, Xian, China
National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, Suzhou, China
College of Arts and Sciences, Seattle Pacific University, Seattle, WA, United States
School of Sciences and Humanities
School of Mathematics and Information Science
School of Science
National Engineering Laboratory for Modern Silk
College of Arts and Sciences
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026