The dynamic stability of the foam-filled sandwich plates under arbitrary periodic loads is studied by using Lo’s high-order shear deformation theory. The periodic load is simulated as a combination of axial stress and bending stress. The governing equations are established based on a perturbation method. Through the derived Mathieu-type equation and using the Bolotin method, the dynamic instability regions are determined by solving the eigenvalue problem. The effects of core thickness, static and dynamic load, and bending stress on the dynamic stability behavior of composite sandwich plates with stiff face sheets and soft foam core are studied. The results reveal that the presented higher-order plate theory adopted gives a better estimate of the dynamic stability of the foam-filled sandwich plate than the first-order plate theory.

中文翻译：

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基于高阶板理论的软芯夹层板动态不稳定性响应

利用Lo的高阶剪切变形理论研究了泡沫填充夹芯板在任意周期载荷下的动态稳定性。周期性载荷模拟为轴向应力和弯曲应力的组合。控制方程是基于微扰法建立的。通过推导的Mathieu型方程和Bolotin方法，通过求解特征值问题确定动态不稳定区域。研究了芯材厚度、静动载荷和弯曲应力对硬面板和软泡沫芯材复合夹芯板动态稳定性行为的影响。结果表明，所提出的高阶板理论比一阶板理论更好地估计了泡沫填充夹层板的动态稳定性。