The rigid-plastic assumption has greatly simplified the theoretical analysis of dynamic plastic response of structures. Within this framework, a common tool is the modal technique using approximate independent yield criteria, which leads to upper- and lower-bound solutions, but usually with poor accuracy. In this paper, by utilizing the membrane factor method (MFM), the large-deflection dynamic plastic response of square plates subjected to exponentially decaying pulse loading is analyzed by taking both the transient response phase and the exact yield criterion into account. Based on the combination of saturation analysis (SA) and MFM, the complete solutions and regressive formulae of saturated deflection and saturated impulse are obtained. As the dynamic behavior of plates under rectangular pulse loading serves as a benchmark of pulse-equivalent techniques, the large plastic deformation of square plates under short-duration rectangular pulse is also analyzed in detail. Moreover, by comparing the SA results of pulse-loaded square plates with different boundary conditions, it is found that the saturated deflection and saturated impulse of the fully clamped and simply supported square plates both increase linearly with the pulse amplitude, and the slopes are approximately the same, so the conversion between the SA quantities of plates with different boundary conditions can be easily achieved.

刚塑性假设极大地简化了结构动态塑性响应的理论分析。在这个框架内，一个常见的工具是使用近似独立屈服标准的模态技术，这会导致上限和下限解决方案，但通常精度较差。本文利用膜因子法（MFM），综合考虑瞬态响应阶段和精确屈服准则，分析了指数衰减脉冲载荷作用下方形板的大挠度动态塑性响应。基于饱和度分析(SA)和MFM​​相结合，得到了饱和挠度和饱和冲量的完全解和回归公式。由于矩形脉冲加载下板材的动力学行为作为脉冲等效技术的基准，还详细分析了短时矩形脉冲下方形板材的大塑性变形。此外，通过比较不同边界条件下脉冲加载方板的SA结果，发现全夹紧方板和简支方板的饱和挠度和饱和脉冲均随脉冲幅度线性增加，斜率近似为相同，因此可以很容易地实现不同边界条件的板的 SA 量之间的转换。