Seismic Response Analysis on Non-Proportional Damped System by Using Perturbation Technique

Abstract

A simple method for seismic response analysis on multi-degree-of-freedom (MDOF) system with non-proportional damping is proposed. Based on the real modal theory, transforming the system from physical coordinates to modal coordinates, the damping matrix is a relatively small amount compared with the mass matrix and the stiffness matrix, so the damping matrix may be denoted as a small amount. The approximate analytical solution of the non-proportional damped system can be obtained by using the perturbation technique which can be used as a reference of seismic response analysis of complicated structures.