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Free Vibration of Elastically Constrained Single-Layered \(\hbox {MoS}_{2}\)

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Abstract

Free vibration of elastically constrained rectangular single-layered \(\hbox {MoS}_{\mathrm {2}}\) is investigated by using a nonlocal Kirchhoff plate model with an initial stress. The variationally consistent elastically constrained boundary conditions are obtained by using the weighted residual method, while the governing equations of the nonlocal Kirchhoff plate model are known. A modified Fourier series method is applied to study the vibrational behaviors of elastically constrained nonlocal Kirchhoff plate models. The convergence and reliability of the modified Fourier series method is verified via comparison with the finite element method. A comprehensive parametric study is performed to show the influences of the boundary elastic constant, nonlocal parameter and initial stress on the vibrational behaviors of single-layered \(\hbox {MoS}_{\mathrm {2}}\). The results should be good for the design of nanoresonators .

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Acknowledgements

We gratefully acknowledge the support from the Natural Science Foundation of Chongqing (cstc2020jcyj-msxmX0037), State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) under Grants MCMS-E-0120G01, National Natural Science Foundation of China under Grants Nos. 11925205 and 51921003, and the Fundamental Research Funds for the Central Universities of China.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

    Jingnong Jiang

  2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Lifeng Wang

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  1. Jingnong Jiang
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Correspondence to Jingnong Jiang.

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Jiang, J., Wang, L. Free Vibration of Elastically Constrained Single-Layered \(\hbox {MoS}_{2}\). Acta Mech. Solida Sin. 35, 421–433 (2022). https://doi.org/10.1007/s10338-021-00282-4

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  • DOI: https://doi.org/10.1007/s10338-021-00282-4

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