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首页> 外文期刊>Journal of thermal stresses >Nonlinear dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shear deformable plates with temperature-dependent material properties and surrounded on elastic foundations
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Nonlinear dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shear deformable plates with temperature-dependent material properties and surrounded on elastic foundations

机译：功能梯度的碳纳米管增强复合材料（FG-CNTRC）剪切可变形板的非线性动力响应和振动，其温度依赖于材料特性，并围绕弹性基础

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摘要

Based on Reddy's third-order shear deformation plate theory, the nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates on elastic foundations subjected to dynamic loads and temperature are presented. The plates are reinforced by single-walled carbon nanotubes which vary according to the linear functions of the plate thickness. The plate's effective material properties are assumed to depend on temperature and estimated through the rule of mixture. By applying the Airy stress function, Galerkin method and fourth-order Runge-Kutta method, nonlinear dynamic response and natural frequency for imperfect FG-CNTRC plates are determined. In numerical results, the influences of geometrical parameters, elastic foundations, initial imperfection, dynamic loads, temperature increment, and nanotube volume fraction on the nonlinear vibration of FG-CNTRC plates are investigated. The obtained results are validated by comparing with those of other authors.
机译：基于Reddy的三阶剪切变形板理论，提出了不饱和功能梯度碳纳米管增强复合材料（FG-CNTRC）板在弹性基础上承受动态载荷和温度的非线性动力响应和振动。板由单壁碳纳米管加固，该碳纳米管根据板厚度的线性函数而变化。假定板的有效材料属性取决于温度，并通过混合规则进行估算。通过应用艾里应力函数，Galerkin方法和四阶Runge-Kutta方法，确定了不完全FG-CNTRC板的非线性动力响应和固有频率。在数值结果中，研究了几何参数，弹性基础，初始缺陷，动态载荷，温度增量和纳米管体积分数对FG-CNTRC板非线性振动的影响。通过与其他作者的比较来验证所获得的结果。

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