Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel
Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel
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石墨烯纳米片增强双曲面板的混沌响应和非线性动力学
DOI：
10.1016/j.euromechsol.2020.104091
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Safarpour Hamed
中科院分区：
文献类型：
--
作者：
Al-Furjan M.S.H.;Habibi Mostafa;Jung Dong won;Chen Guojin;Safarpour Mehran;Safarpour Hamed
通过数学推导，建立了石墨烯纳米片（GPL）增强复合材料（GPLRC）双曲板在简谐载荷作用下的非线性频率和混沌响应的非线性动力学模型.利用汉密尔顿原理和Von-Karman非线性理论，导出了非线性控制方程。为了发展一种精确的求解方法，最后采用了广义微分求积法（GDQM）和摄动法（PA）。结果表明，GPL的图案，半径与长度比，谐波载荷，厚长比的双曲壁板的混沌运动的重要作用。本文的基本结论是：板的混沌运动和非线性频率与较小的半径与长度比（R1/a参数）和粘弹性地基的大小几乎无关。这意味着当增大R1/a参数时，在考虑粘弹性基础的情况下，系统的运动趋向于混沌运动。此外，对于GPL-A、GPL-V和GPL-UD图案，当R1/a参数的值或双曲面面板的曲率形状增大时，运动响应中的混沌性改善，而对于GPL-O图案，这一情况相反。
In this article, a mathematical derivation is made to develop a nonlinear dynamic model for the nonlinear frequency, and chaotic responses of the graphene nanoplatelet (GPL) reinforced composite (GPLRC) doubly-curved panel subject to an external harmonic load. Using Hamilton's principle and the Von-Karman nonlinear theory, the nonlinear governing equations are derived. For developing an accurate solution approach, generalized differential quadrature method (GDQM) and perturbation approach (PA) are finally employed. The results show that GPL's pattern, radius to length ratio, harmonic load, and thickness to length ratio have important role in the chaotic motion of the doubly-curved panel. The fundamental and golden results of this paper is that the chaotic motion and nonlinear frequency of the panel is hardly dependent on the value of the smaller radius to length ratio (R 1/a parameter) and viscoelastic foundation. It means that by increasing the value of R 1/a parameter, and taking into account the viscoelastic foundation, the motion of the system tends to show the chaotic motion. Moreover, for GPL-A, GPL-V, and GPL-UD patterns, when the value of the R 1/a parameter or the curvature shape of the doubly-curved panel increases, the chaoticity in motion response improves while for the GPL-O pattern, this matter reverses.
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作者：
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DOI：
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发表时间：
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影响因子：
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