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Geometrically nonlinear analysis of CNT-reinforced functionally graded composite plates integrated with piezoelectric layers

机译:集成有压电层的CNT增强功能梯度复合板的几何非线性分析

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The paper develops a geometrically nonlinear finite element model with large rotation based on the first-order shear deformation (FOSD) hypothesis for static and dynamic analyses of piezoelectric integrated carbon nanotube reinforced functionally graded (P-CNT-FG) composite structures. A constant electric field distribution through the thickness of plate is considered. An eight-node quadrilateral plate element with five mechanical degrees of freedom (DOFs) and one electric degree of freedom is developed for finite element analysis. Four typical forms of CNT distributions are included in the model, namely uniform, V-shaped, O-shaped, and X-shaped distributions. The nonlinear model considers fully geometrically nonlinear strain-displacement relations and large rotations of the shell direction of plate. Using the Hamilton's principle, a nonlinear dynamic model including dynamic and sensory equations is obtained. The proposed nonlinear model is validated by a frequency analysis of a simply supported P-CNT-FG composite plate. Furthermore, the effects of various parameters on the static and dynamic behavior are investigated, e.g. CNT-reinforcement orientation, CNT distribution, the number of laminate layers and volume fraction.
机译:本文基于一阶剪切变形(FOSD)假设,建立了一个大旋转几何非线性有限元模型,用于压电集成碳纳米管增强功能梯度(P-CNT-FG)复合结构的静态和动态分析。考虑通过板的厚度的恒定电场分布。开发了具有五个机械自由度(DOF)和一个电自由度的八节点四边形板单元,用于有限元分析。该模型包括四种典型形式的CNT分布,即均匀分布,V形,O形和X形分布。非线性模型考虑了完全几何非线性应变-位移关系以及板壳方向的大旋转。使用汉密尔顿原理,获得了包括动力学方程和感官方程的非线性动力学模型。通过对简单支撑的P-CNT-FG复合板的频率分析验证了所提出的非线性模型。此外,还研究了各种参数对静态和动态行为的影响,例如CNT的增强方向,CNT的分布,层数和体积分数。

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