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
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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DOI：
10.1080/01495739.2017.1338928
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发表时间：
2017-01-01
影响因子：
2.8
通讯作者：
Nguyen Dinh Duc
中科院分区：
文献类型：
--
作者：
Nguyen Van Thanh;Nguyen Dinh Khoa;Nguyen Dinh Duc
基于Reddy的三阶剪切变形板理论，研究了弹性地基上含缺陷功能梯度碳纳米管增强复合材料（FG-CNTRC）板在动荷载和温度作用下的非线性动力响应和振动问题.板由单壁碳纳米管增强，其根据板厚度的线性函数而变化。板的有效材料属性被假定为依赖于温度，并通过混合规则估计。应用Airy应力函数、Galerkin法和四阶Runge-Kutta法，计算了含缺陷FG-CNTRC板的非线性动力响应和自振频率。通过数值计算，研究了几何参数、弹性地基、初始缺陷、动荷载、温度增量和碳纳米管体积分数等因素对FG-CNTRC板非线性振动的影响。所得结果与其他作者的结果进行了比较，验证了所得结果的正确性。
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.