Unforced Response Simulation by Proper Orthogonal Value Recalculation

Abstract

The Proper Orthogonal Decomposition is applied to the response of linear and nonlinear beam models to construct a predictive model for the response to various i nitial conditions . A response prediction is expressed as a weighted summation of proper orthogonal modes and corresponding proper orthogonal coordinate histories and a method for calculating the weights of each mode in a new response is presented. This met hod is applied to predict th e responses of linear and nonlinear (jointed) beam models to various initial displacement and velocity profiles . The results obtained are compared with those from respective finite element models for each beam . The predictive mo dels show good agreement with finite element models for both the linear and nonlinear beams .