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Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

机译:湿热对功能梯度梁的振动和热屈曲行为的影响

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摘要

The hygro-thermal effects on vibration and buckling analysis of functionally graded beams are presented in this paper. The present work is based on a higher-order shear deformation theory which accounts for a hyperbolic distribution of transverse shear stress and higher-order variation of in-plane and out-of-plane displacements. Equations of motion are obtained from Lagrangan equations. Ritz solution method is used to solve problems with different boundary conditions. Numerical results for natural frequencies and critical buckling temperatures of functionally graded beams are compared with those obtained from previous works. Effects of power-law index, span-to-depth ratio, transverse normal strain, temperature and moisture changes on the results are discussed.
机译:本文介绍了湿热效应对功能梯度梁的振动和屈曲分析的影响。目前的工作是基于一个高阶剪切变形理论,该理论解释了横向剪应力的双曲线分布以及平面内和平面外位移的高阶变化。运动方程是从拉格朗根方程获得的。 Ritz解法用于解决具有不同边界条件的问题。将功能梯度梁的固有频率和临界屈曲温度的数值结果与以前的工作进行了比较。讨论了幂律指数,跨度与深度之比,横向法向应变,温度和湿度变化对结果的影响。

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