Dynamic buckling of stiffened plates with elastically restrained edges under in-plane impact loading

Abstract

The dynamic buckling of stiffened plates considering the elastically restrained edges subjected to in-plane impact loading is investigated. Navier's double Fourier series is selected as deflection function, then the large-deflection plate equations are solved by the Galerkin method and four-order Runge-kutta method is used to solve the motion equations. An instance presented in the published literature has validated the correctness of the method. The method is extended to the research of the dynamic response of the stiffened plate with elastically restrained boundary condition. The results show the rotational restraint stiffness usually ignored by previous researchers plays an important role in dynamic response of the stiffened plate under in-plane impact loading, and the influence degree of rotational restraint stiffness on dynamic buckling loads and dynamic response increase along with the initial imperfection and pulse duration. In order to accurately evaluate the dynamic buckling load, a new simple buckling criterion is presented in the paper and proven effective.