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Nonlinear Vibration of FGM Sandwich Nanoplates with Surface Effects

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Abstract

A novel functionally graded material (FGM) sandwich nanoplate model with surface effects is developed in this work. By using the Gurtin–Murdoch theory of surface elasticity, surface effects are taken into account. Governing equations for nonlinear vibrations are obtained though the balance of forces. The Galerkin method is employed to obtain the approximate solutions for nonlinear free and forced vibrations of the FGM laminates. Numerical results show that considering surface effects changes the equivalent Young’s modulus and bending stiffness of FGM sandwich nanoplates. In addition, the influences of surface effects are related to the geometric size of the nanoplate. Numerical examples are proposed to verify the effectiveness of the present results.

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All data generated or analyzed during this study are included in this published article.

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Acknowledgements

This work was supported by the Natural Science Foundation of Hebei Province (A2022203025) and the Science and Technology Project of Hebei Education Department (ZD2021104).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Yanshan University, Qinhuangdao, 066004, China

    Junhua Xiao & Jie Wang

  2. Hebei Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures, Yanshan University, Qinhuangdao, 066004, China

    Junhua Xiao & Jie Wang

Authors
  1. Junhua Xiao
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  2. Jie Wang
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JX contributed to conceptualization, methodology and writing—review and editing. JW contributed to methodology, validation and writing—original draft.

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Correspondence to Junhua Xiao.

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Xiao, J., Wang, J. Nonlinear Vibration of FGM Sandwich Nanoplates with Surface Effects. Acta Mech. Solida Sin. 36, 274–281 (2023). https://doi.org/10.1007/s10338-022-00371-y

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  • DOI: https://doi.org/10.1007/s10338-022-00371-y

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