Integração direta da resposta em regime permanente pelo Método de Ritz-Wilson com mudança de base

Abstract

A procedure is presented in which the steady-state response of a structural system to a periodic excitation is computed from the transient response to a single cycle of the excitation. The superposition of Ritz-Wilson vectors is used for the transient response solution. Basis change approaches are also presented to allow the application of the Ritz-Wilson method in the solution of dynamic response due to generic load cases. The final purpose of this work is the use of both procedures in the dynamic analysis of structural systems subject to generalized periodic excitations. Some basic ideas of the classical mode superposition method as well as the Lanczos method are briefly reviewed and a set of numerical examples are presented and discussed.