Seismic Reliability Analysis of Single-degree-of-freedom System when Structural Response is with Markov Property

The stationary responses process of single-degree-of-freedom structural system is a stationary process with Markov property in displacement-speed space when the random earthquake load is simulated as flat noise or nearly flat noise. In this paper, the seismic reliability of singe-degree-of-freedom structural system of which the structural responses is with Markov property is studied according to first excursion mechanism. The explicit solution method of the structural seismic reliability is deduced. It is shown from the example that the method of this paper is correct. For the seismic reliability analysis of multiple-degree-of-freedom system, the mode-superposition method can be adopted to transform multiple-degree-of-freedom system into a series of generalized single-degree-of-freedom systems, so the method of this paper is also applicable in the theory.