Geometrically Nonlinear Dynamic Response of Perforated Plates by Modified Differential Quadrature Method

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.

Automated summary

This study presents a modified differential quadrature (MDQ) method to investigate the dynamic response of perforated plates under uniaxial impact compressive load. By introducing the penalty function method, the continuity of the plate elements is ensured along the shared edges to consider the effect of elastically restrained edges. Through verification analysis and investigation of various factors, it is found that the dynamic buckling load of perforated plates is mainly influenced by rotational restraint stiffness, hole size, and shear load.