The paper presents a modified differential quadrature (MDQ) method to investigate the dynamic response of perforated plates with elastically restrained edges under uniaxial impact compressive load. The perforated plate is divided into several separate plate elements that can be connected by using penalty function method (PFM) to ensure continuity along the shared edges. The in-plane stress distribution of the plate under the mechanical edge loading is determined by the pre-buckling analysis. To analyze the effect of elastically restrained edges on the dynamic response of perforated plates, artificial springs imposed for the edges are considered in the governing equilibrium equations. Verification analysis is carried out to demonstrate the efficiency and accuracy of the proposed method by comparing the results obtained with those available in the literature. Finally, the various effects of initial imperfection, rotational restrained stiffness, hole size and location, and shear load, on the dynamic response of perforated plates are investigated. The results show that the dynamic buckling load of perforated plates is significantly influenced by the rotational restraint stiffness, hole size and shear load as well as the initial geometric imperfection, whereas the effect of hole location can be neglected in the analysis of dynamic buckling of plates. Additionally, the results predicted by the proposed method can correlate well with the available numerical results.

中文翻译：

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改进微分求积法的多孔板几何非线性动态响应

本文提出了一种改进的微分求积（MDQ）方法来研究具有弹性约束边缘的穿孔板在单轴冲击压缩载荷下的动态响应。穿孔板被分成几个独立的板单元，可以使用罚函数方法（PFM）连接，以确保沿共享边缘的连续性。机械边缘载荷下板的面内应力分布由预屈曲分析确定。为了分析弹性约束边缘对穿孔板动态响应的影响，在控制平衡方程中考虑了对边缘施加的人工弹簧。通过将获得的结果与文献中可用的结果进行比较，进行验证分析以证明所提出方法的效率和准确性。最后，研究了初始缺陷、旋转约束刚度、孔尺寸和位置以及剪切载荷对穿孔板动态响应的各种影响。结果表明，穿孔板的动态屈曲载荷受旋转约束刚度、孔尺寸和剪切载荷以及初始几何缺陷的显着影响，而孔位置的影响在板的动态屈曲分析中可以忽略不计。 . 此外，所提出的方法预测的结果可以与可用的数值结果很好地相关。研究了旋转约束刚度、孔尺寸和位置以及剪切载荷对穿孔板动态响应的影响。结果表明，穿孔板的动态屈曲载荷受旋转约束刚度、孔尺寸和剪切载荷以及初始几何缺陷的显着影响，而孔位置的影响在板的动态屈曲分析中可以忽略不计。 . 此外，所提出的方法预测的结果可以与可用的数值结果很好地相关。研究了旋转约束刚度、孔尺寸和位置以及剪切载荷对穿孔板动态响应的影响。结果表明，穿孔板的动态屈曲载荷受旋转约束刚度、孔尺寸和剪切载荷以及初始几何缺陷的显着影响，而孔位置的影响在板的动态屈曲分析中可以忽略不计。 . 此外，所提出的方法预测的结果可以与可用的数值结果很好地相关。孔尺寸和剪切载荷以及初始几何缺陷，而孔位置的影响在板的动态屈曲分析中可以忽略不计。此外，所提出的方法预测的结果可以与可用的数值结果很好地相关。孔尺寸和剪切载荷以及初始几何缺陷，而孔位置的影响在板的动态屈曲分析中可以忽略不计。此外，所提出的方法预测的结果可以与可用的数值结果很好地相关。