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Variational Iteration Method for Prediction of the Pull-In Instability Condition of Micro/Nanoelectromechanical Systems

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Abstract

The dynamics of micro/nanoelectromechanical systems (M/NEMS) is a core research area in micromechanics. Due to the nonlinearities and the singular nature of actuation forces that emerge in these systems, it has become a promising and challenging research area. The foremost objective of this manuscript is to examine the dynamics of M/NEMS by approximating rational terms involved in M/NEMS structures. An M/NEMS switch under electromagnetic force is adopted to reveal the effectiveness of the expansion of rational terms. Taylor series is employed to approximate the rational function into the summation of simple terms. The well-known variational iteration method is engaged to obtain the dynamic pull-in threshold value, the nonlinear frequency, and the analytical solution of the objective system. The solution obtained from the proposed strategy exhibits good agreement with observations obtained numerically. As opposed to the existing approaches, the suggested scheme achieves a high level of accuracy.

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Funding

The work was performed within Taif University researchers supporting project No. TURSP-2020/16.

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Authors and Affiliations

  1. National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 215006, Suzhou, China

    N. Anjum & J.-H. He

  2. School of Mathematical Sciences, Soochow University, 215006, Suzhou, China

    N. Anjum

  3. Department of Mathematics, Government College University, Faisalabad, Pakistan

    N. Anjum

  4. School of Mathematics and Information Science, Henan Polytechnic University, 454000, Jiaozuo, China

    J.-H. He

  5. School of Science, Xi’an University of Architecture and Technology, 710200, Xi’an, China

    J.-H. He

  6. School of Civil Engineering, Xi’an University of Architecture and Technology, 710200, Xi’an, China

    C.-H. He

  7. Department of Mathematics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia

    K. A. Gepreel

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  1. N. Anjum
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  2. J.-H. He
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Correspondence to J.-H. He.

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Translated from Fizicheskaya Mezomekhanika, 2023, Vol. 26, No. 1, pp. 5–14.

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Anjum, N., He, JH., He, CH. et al. Variational Iteration Method for Prediction of the Pull-In Instability Condition of Micro/Nanoelectromechanical Systems. Phys Mesomech 26, 241–250 (2023). https://doi.org/10.1134/S1029959923030013

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