非保守力作用下FGM矩形板的稳定性分析

Stability Analysis of FGM Plates Subjected to Non-conservative Forces

对受均布随从力作用的功能梯度材料(FGM)矩形板,引入应力函数,得到了以应力函数和挠度函数表示的耦合运动微分方程组。用Fourier级数法研究了四边简支FGM非保守矩形板的稳定性,给出了不同边长比和不同梯度指标下频率和发散载荷的变化曲线,以及梯度指标变化对频率和发散载荷的影响。

The coupled motion equations of plates under the action of uniformly distributed tangential follower forces are derived,which are expressed by an introduced stress function and deflection function. The stability of simply supported FGM rectangular plates subjected to non-conservative forces is analyzed with Fourier series.The relations of vibration frequency with divergence load for different aspect ratio and gradient index are demonstrated, and the effects of gradient index on vibration frequency and divergence load are investigated.