Forced vibration of nanoplate on viscoelastic substrate with consideration of structural damping: An analytical solution
Forced vibration of nanoplate on viscoelastic substrate with consideration of structural damping: An analytical solution
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DOI：
10.1016/j.compstruct.2015.07.068
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发表时间：
2015-12
影响因子：
6.3
通讯作者：
S. Hashemi;H. Mehrabani;A. Ahmadi-Savadkoohi
中科院分区：
文献类型：
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作者：
S. Hashemi;H. Mehrabani;A. Ahmadi-Savadkoohi
本文基于非局部理论，讨论了粘弹性介质上粘纳米板的强迫振动问题。单层粘弹性石墨烯片（SLVGS）模拟粘纳米板。该模型旨在描述具有耗散效应的纳米复合材料的动态相互作用。结合Kirchhoff板理论和粘弹性Kelvin Voigt模型，利用Hamilton原理推导了控制方程。对方程进行解析求解，得到VGS的响应。对非局部参数、粘弹性阻尼结构、展弦比、粘-帕斯捷尔纳克（VP）介质、模态数和质量因子(Q)的系列效应进行了深入的参数研究。在本研究中，研究了量纲和非量纲计算。本文的数值计算结果与前人的研究结果完全吻合。
Based on nonlocal theory, this article discusses forced vibration of visco-nanoplate resting on viscoelastic medium. Single layer viscoelastic graphene sheet (SLVGS) modeled as visco-nanoplate. This model is aimed at representing dynamic interactions in nanocomposite materials with dissipation effect. By considering the Kirchhoff plate theory and viscoelastic Kelvin Voigt model, the governing equation is derived using Hamilton’s principle. The equation is solved analytically to obtain the response of VGS. The parametric study is thoroughly performed, concentrating on the series effects of nonlocal parameter, viscoelastic damping structure, aspect ratio, visco-Pasternak (VP) medium, mode number and quality factor (Q). In this study, both dimensional and nondimensional calculations are investigated. The numerical results of this article show a perfect correspondence with those of the previous researches.