Stochastic dynamic stability analysis of nonlinear structures

Summary This document presents an analysis method to investigate the dynamic stability behaviour of ran-dom geometrically imperfect systems loaded by random excitations. The analysis uses a time integration method to consider all nonlinearities of the structures. The method is based on the stability concept of Lya-punov. The obtained nonlinear numerical results are compared with the results of a well known linear analysis method, which is explained as well. The nonlinear and the linear method are applied on nonlinear multi-degree-of-freedom systems to compute the failure probability depending on the excitation intensity.