NUMERICAL ANALYSIS OF A FRACTIONAL MICRO/NANOBEAM-BASED MICRO-ELECTROMECHANICAL SYSTEM

Shaoqing Zheng (), Lei Chen () and Junfeng Lu
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Shaoqing Zheng: Department of Statistics, Zhejiang Gongshang University Hangzhou College of Commerce, Hangzhou 311508, P. R. China
Lei Chen: ��Department of Finance, Zhejiang Gongshang University Hangzhou College of Commerce, Hangzhou 3115088, P. R. China
Junfeng Lu: Department of Statistics, Zhejiang Gongshang University Hangzhou College of Commerce, Hangzhou 311508, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 01, 1-10

Abstract: This paper focuses on considering a combined method for solving a fractional oscillation equation arising from a micro/nanobeam-based micro-electromechanical system under the magnetic force. It is an efficient method based upon the fractional complex transformation and the spreading residue harmonic balance method. The fractional oscillator is transformed as the conventional oscillation system by using the fractional complex transformation. The approximated periodic solutions and frequencies are given by applying the spreading residue harmonic balance method. Sensitive analysis of the approximated frequencies concerning different amplitudes and parameters is provided, which may be helpful for realizing the system stability. Numerical comparisons with some existing methods such as Runge–Kutta method and He’s frequency formulation approach are shown to confirm the efficiency of the proposed method.

Keywords: Micro-Electromechanical System; Approximation; Frequency; Fractional Complex Transformation; Spreading Residue Harmonic Balance Method (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500288

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