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Nonlinear static analysis of FGM infinite cylindrical shallow shells based on physical neutral surface and high order shear deformation theory

机译:基于物理中性面和高阶剪切变形理论的FGM无限圆柱浅壳非线性静力分析

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摘要

A model of the FGM infinite cylindrical shallow shell is first established by using physical neutral surface and high order shear deformation theory. Temperature-dependent material properties and nonlinear von Karman strain-displacement relationships are adopted. It is worth noting that stretching-bending couplings are eliminated in constitutive equations. Nonlinear static approximate solutions are given out using multi-term Ritz method, and the validity of this new model is confirmed by comparison with related researchers' results. Influences played by different supported boundaries, geometrical property, thermal environmental conditions and volume fraction index are discussed in detail. It can be concluded that intensity of snap-through increase with increasing geometrical property and the temperature.
机译:首先利用物理中性面和高阶剪切变形理论建立了FGM无限圆柱浅壳模型。采用随温度变化的材料特性和非线性von Karman应变-位移关系。值得注意的是,在本构方程中消除了拉伸-弯曲耦合。利用多项Ritz方法给出了非线性静态近似解,并与相关研究人员的结果进行了比较,验证了该模型的有效性。详细讨论了不同支撑边界,几何特性,热环境条件和体积分数指数所产生的影响。可以得出结论,随着几何性质和温度的增加,搭扣的强度也随之增加。

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