应力为滤过复合Erlang更新过程时结构的可靠度

Structural Reliability for Stress Obeying Filtered Compound Erlang Renewal Process

滤过复合Erlang更新过程常用于描述我国公路交通中的车辆荷载随机过程。本文旨在讨论强度为随机变量、应力为滤过复合Erlang更新过程的半随机过程结构可靠性模型。利用Erlang更新过程的母函数,我们得到该随机模型的结构可靠度在四种不同情况下具体表达式。

Recently,a filtered compound Eriang renewal process is frequently used to describe vehicle loads in our country.The purpose of this paper is to discuss the structural reliability model,whose strength is random and stress is distributed by a filtered compound Eriang renewal process.Based on the generating function of Eriang renewal processes,explicit expressions for the structural reliability （under four different situations） about this model are derived.