To account for the nonlinear dynamic effects of flexible sandwich plates undergoing large deformation, a computational method for dynamic analysis of flexible sandwich plates is studied. According to the characteristics of sandwich plates, a simplified plate model is proposed based on the Kirchhoff plate theory, in which the shear stiffness of the core plate is neglected and the stiffness for the whole plate is derived. For the dynamic problem of flexible multibody systems, a thin plate element has been studied based on the absolute nodal coordinate formulation (ANCF). Meanwhile, a method based on invariant tensors is proposed for calculating elastic forces and their Jacobians, which can be calculated during preprocessing and applied for programmed calculation. Using examples, the proposed computational method is verified to be feasible and accurate. In addition, a benchmark example and a double-pendulum model are used to verify the applicability and feasibility of our analytical method for flexible sandwich plates in flexible multibody systems. Therefore, this method lays a foundation for the study of flexible dynamics problems regarding multibody systems with sandwich plates.

考虑到柔性夹层板大变形的非线性动力效应，研究了一种柔性夹层板动力分析的计算方法。根据夹层板的特点，基于基尔霍夫板理论提出了一种简化的板模型，该模型忽略了芯板的剪切刚度，推导了整个板的刚度。针对柔性多体系统的动力学问题，基于绝对节点坐标公式（ANCF）研究了薄板单元。同时，提出了一种基于不变张量的弹性力及其雅可比计算方法，该方法可以在预处理过程中进行计算，并应用于程序计算。使用示例，验证了所提出的计算方法是可行和准确的。此外，使用基准示例和双摆模型来验证我们的分析方法对柔性多体系统中柔性夹层板的适用性和可行性。因此，该方法为夹层板多体系统柔性动力学问题的研究奠定了基础。