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Impacts of the hygro-thermo conditions on the vibration analysis of 2D-FG nanoplates based on a novel HSDT

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A Correction to this article was published on 14 September 2021

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Abstract

The main purpose of this paper is to render a novel higher-order shear deformation theory (HSDT), which can model the dynamic analysis of the 2D-FG nanoplates subjected to hygro-thermo loading using a new shear strain shape function. The transverse component of displacement is composed of bending and shear parts. Thickness stretching influence is considered according to higher-order shear and normal deformation theory. The present model is suitable to deal with thin and thick nanoplates since it includes the HSDT and the thickness stretching influence. Assume the plate's materials properties, including density, Young’s modulus, and thermal and moisture parameters vary continuously with an arbitrary function in two directions. Size-dependent nonlocal elasticity theory is dedicated to consider the nonlocality. The temperature variation and moisture expansion vary through the thickness of the nanoplate nonlinearly. To achieve the equations of motion of the 2D-FG nanoplate with simply-supported boundary conditions, Hamilton’s principle is utilized. Navier method is utilized for a closed-form solution of the 2D-FG nanoplates. The impacts of several parameters, including thermal effects, are investigated on the vibration characteristics of the 2D-FG nanoplates. The results demonstrate that with increasing the FG indexes, their impacts on the natural frequency of the system will enhance/reduce when the temperature variation increases/reduces.

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Acknowledgements

This research is financially supported by the Natural Science Foundation of Zhejiang province, China (No.LY20A020005), preparatory funds of School of Architecture and Transportation, Ningbo university of technology, Open Research Fund Program of State key Laboratory of Hydroscience and Engineering.

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Authors and Affiliations

  1. School of Architecture and Transportation Engineering, Ningbo University of Technology, Ningbo, 315211, China

    Zhenya Zhang

  2. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China

    Zhenya Zhang & Xiaoli Liu

  3. Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

    Reza Mohammadi

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  1. Zhenya Zhang
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  2. Xiaoli Liu
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  3. Reza Mohammadi
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Correspondence to Xiaoli Liu.

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Zhang, Z., Liu, X. & Mohammadi, R. Impacts of the hygro-thermo conditions on the vibration analysis of 2D-FG nanoplates based on a novel HSDT. Engineering with Computers 38 (Suppl 4), 2995–3008 (2022). https://doi.org/10.1007/s00366-021-01443-2

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