摘要
本文讨论结构在设计基准期[0,T]内应力出现规律,考虑应力出现时间问隔是一串独立服从相同几何分布的随机变量,建立更新过程模型.给出在[0,T]内应力出现的概率分布,更新函数与更新方程表述式,平均期望更新个数的收敛性。同时,讨论结构应力S(t)的最大值S_u的概率分布。
This paper discusses the law of structural stress appeared duing the standard period of the design. Considering the time interval of the appearance of the stress is a sequence of independent random variables which obey same geometric distribution, this paper establishes the model of renewal process and gives the probability distribution of the appearance of the stress during the period of '0, T', and makes the formulas of renewal function and renewal equation. Moreover it proves the convergence of mean expectation for renewal numbers and discusses the probability distribution of maximal S_M about structural stress.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1989年第3期28-34,共7页
Journal of Fujian Normal University：Natural Science Edition
关键词
几何更新过程
结构应力
概率分布
geometry renewal process, structural stress, probability distribution of maximal
