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首页> 外文期刊>International journal of mechanics and materials in design >Nonlinear free vibration analysis of thermally post-buckled composite spherical shell panel
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Nonlinear free vibration analysis of thermally post-buckled composite spherical shell panel

机译:后屈曲复合球形壳板的非线性自由振动分析

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摘要

In this article, nonlinear free vibration behaviour of thermally post-buckled laminated composite spherical shallow shell panel is analyzed. The nonlinearity in geometry of the shell panel is considered in Green-Lagrange sense and the mathematical model is developed based on higher order shear deformation theory (HSDT). System of governing differential equations are derived using Hamilton's principle. A direct iterative method in conjunction with nonlinear finite element approach is used to solve the system of equations. Effects of various geometries and material properties on the nonlinear free vibration frequencies are examined in detail and discussed. Results are obtained using the present model and are compared with those available in literature. The difference between the results speaks the necessity and the requirement of the present model for the prediction of actual nonlinear characteristics of the laminated structures having severe nonlinearity in thermal environment.
机译:本文分析了热后屈曲层压复合材料球形浅壳面板的非线性自由振动行为。从格林-拉格朗日意义上考虑了壳板几何形状的非线性,并基于高阶剪切变形理论(HSDT)建立了数学模型。运用汉密尔顿原理推导微分方程的控制系统。将直接迭代方法与非线性有限元方法结合起来用于求解方程组。详细检查和讨论了各种几何形状和材料特性对非线性自由振动频率的影响。使用本模型获得的结果与文献中的结果进行比较。结果之间的差异说明了本模型对预测在热环境中具有严重非线性的层压结构的实际非线性特性的必要性和要求。

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