Time history analysis of structures under multi-support excitation by state-space method

Abstract

Because of the variety of methods to simulate the dynamic behaviors of the structure under earthquake loading trying to approach the reality. This paper provides a contribution to simulate this behavior using three methods, mainly starting with state space. Secondly, we compare it with the finite element method (Duhamel integral and direct method of Newmark), taking into consideration the effect of Non-uniform excitation in the supports. The obtained results proves the three methods are efficient and very close to each other for simple structures but in term the computing time, the state space method is faster than the others. At the end, add a big structure to test the limits of each method.