针对压电层合板在机电耦合激振下的瞬态响应问题,提出一种高效混合数值计算方法.经过位移场、电势场在厚度方向的离散,利用机电耦合理论和哈密顿原理,推导出结构的运动方程.引入傅里叶变换,得到波数域内运动控制方程.应用模态分析方法求解波数域内的位移场和电势场,对结果进行傅里叶逆变换,得到空间域内的瞬态响应.以PZT-5A/0°PVDF铺层两相材料复合压电层合板为算例,分析了力、电耦合线载荷激励下,位移场和电势场的瞬态响应历程与分布规律,计算结果给出了该结构的动力学基本特征.该方法结合了有限元法、傅里叶变换和模态分析法,计算高频载荷激振下的压电层合板瞬态响应较一般有限元法大幅减少了单元的划分.该方法可推广至分析任意机电载荷下的各类铺层材料压电层合板瞬态响应问题.
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