Simulation-free hyper-reduced models for geometrically nonlinear structural dynamics

Abstract

We present a variant of the Energy Conserving Sampling and Weighting (ECSW) method that minimizes the offline cost associated to the construction of reduced order models of FE discretized geometrically nonlinear structural dynamics problems. The training sets required by ECSW are obtained by lifting linear modal analysis responses on a quadratic manifold generated with modal derivatives. The resorting on expensive POD of the full response is completely avoided. The method is particularly suited for the dynamic analysis of flexible airframes featuring geometric nonlinearities.