Substructure Synthesis Method for Time History Response Analysis : 1st Report, Error Estimation in the Method is Which Coupling. Effects are Constant During Time Step

Abstract

This paper proposes a method to estimate the magnitude of the error caused by the approximation of the substructure synthesis method for the time history analysis where coupling effects are treated as constant during each time step, and examines the accuracy through calculations for several linear vibration modes, which are divided into subsystems and connected by spring. Accuracy is evaluated in term of the distorsion of the eigenvalues by the approximation. It is found that the accuracy is represented by the one parameter consisting time step, stiffness of coupling, and mode shape coefficients.