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DYNAMIC STABILITY OF FUNCTIONALLY GRADED PLATE UNDER IN-PLANE COMPRESSION

机译:平面压缩作用下功能梯度板的动力稳定性

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Functionally graded materials have gained considerable attention in the high-temperature applications. A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct method. Effects of power law exponent on the stability domains are studied.
机译:功能梯度材料已在高温应用中获得了相当大的关注。提出了功能梯度板受平面内时间相关力的参数振动的研究。考虑到平面内运动和横向运动的耦合,使用了适度的大挠度方程。根据体积分数幂律分布,材料特性在板的厚度方向上分级。振荡的温度导致面内时间相关力的产生,从而使板平衡的平面状态不稳定。利用Liapunov的直接方法导出了包含阻尼系数和载荷参数的渐近稳定性和几乎确定的渐近稳定性准则。研究了幂律指数对稳定性域的影响。

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