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GDQ computation for thermal vibration of thick FGM plates by using fully homogeneous equation and TSDT

机译：利用完全齐次方程和TSDT计算厚壁FGM板的热振动的GDQ

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摘要

The third-order shear deformation theory (TSDT) effects on the thick functionally graded material (FGM) plates with fully homogeneous equation under thermal vibration are investigated by using the generalized differential quadrature (GDQ) method. The nonlinear coefficient c(1) term of displacement field of TSDT is used to derive the equations of motion for thermal vibration of thick FGM plates. The dynamic equilibrium differential equations with TSDT of FGM plates in terms of partial derivatives of displacements and shear rotations subjected to partial derivatives of thermal loads, mechanical loads and inertia terms are derived in matrix forms. Three parametric effects of varied-modified shear correction factor, environment temperature and FGM power law index on the thermal stress and center deflection of FGM thick plates with and without containing the nonlinear coefficient c(1) term are investigated.
机译：利用广义微分求积法（GDQ）研究了三阶剪切变形理论（TSDT）对热振动完全均匀方程的厚功能梯度材料（FGM）板的影响。 TSDT位移场的非线性系数c（1）项用于导出厚FGM板的热振动运动方程。用矩阵形式导出了FGM板的带有TSDT的动平衡微分方程，这些位移方程是受热载荷，机械载荷和惯性项的偏导数影响的位移和剪切旋转的偏导数。研究了变化修正剪切校正因子，环境温度和FGM幂律指数对具有和不包含非线性系数c（1）项的FGM厚板的热应力和中心挠度的三个参数影响。

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