Non-linear analysis of imperfect plates under transient lateral pressure loading

A large displacement elastic analysis based on Lagrange's equation has been developed to predict the dynamic response of an imperfect plate subjected to hydrocarbon explosions. The work extends a previous model developed by Schleyer by treating the panel as a shallow shell with simply supported edges restrained against in-plane movement. The results of the approach have been correlated with a fully non-linear transient finite element analysis package, which has been used to carry out a parametric study. The limitation of the elastic approach has been highlighted but overall the method provides excellent results of engineering accuracy for many cases. It is shown that certain imperfections can have a beneficial effect on the response, although snap through can occur in some instances, producing sudden instabilities. (C) 1997 Elsevier Science Ltd.