Reliability Analysis of Structures under Seismic Excitation : Part I : Response ratio of structure having bi-linear spring behavior

Abstract

This paper is the first report in a series of papers which concern the reliability analysis of mechanical component mounted on structures. In this paper, nonstationary random responses are obtained for one and two degrees of freedom systems with bi-linear hysteresis restoration force by using Fokker-Plank equation. The effects of the non-linear spring constant, eigenfrequency of the system and predominant frequency of the seismic excitation on the response and magnification factor are investigated.