在沿厚度方向线性变化的温度场中,对受机械载荷作用下的四边简支功能梯度材料柱面曲板的非线性振动特性进行了分析.假设柱面曲板上表面为陶瓷层,下表面为金属层,材料特性为沿厚度方向按幂律梯度变化.在考虑几何非线性与剪切变形情况下,运用一阶剪切变形理论和Hamilton原理建立了功能梯度材料柱面曲板的非线性动力学方程.并用Galerkin法将运动控制方程离散为5个自由度的非线性动力学系统,方程中保留了面内和转动惯性项的影响,利用数值分析方法,研究了在一定横向激励作用下,不同体积分数指数对圆柱壳的非线性动力行为的影响.结果表明,随着材料体积分数指数的增加,曲板的横向振幅和振动速度渐降低.
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