ABSTRACT
Evidently, more investigations are necessary for the dynamic response analysis of the underground pipelines. In resent years, a newly developed probability density evolution method for stochastic structures has been proposed. The instantaneous probability density function and the evolution against the time can be obtained precisely (Li & Chen 2005). For the dynamic response of stochastic structures, the solution can be derived through solving the probability density evolution equation with an initial value condition. On the other hand, different from the models from the
power spectral density function, a new physics-based stochastic earthquake model to reflect the fundamental correlation between the critical factors and the random earthquake motions has been proposed by the authors (Li & Ai 2006). Several key random parameters are based on to realize the purpose, and a relational expression with physical background can be constructed considering the propagation process of earthquake motion in an engineering site. Associated with the probability density evolution method, the proposed random earthquake model can be of comparative advance to provide the basis for the stochastic seismic analysis.
