求解结构可靠度的直接积分方法  

Direct integral method for solving structural reliability

作　　者：汪保[1] 孙秦[2] 张华宝 

机构地区：[1]宁波工程学院,宁波330024 [2]西北工业大学航空学院,西安710072 [3]陕西地方电力房地产有限责任公司,西安710072

出　　处：《强度与环境》2012年第6期14-21,共8页Structure & Environment Engineering

摘　　要：针对一类极限状态函数为随机变量的和差积商的有理函数形式,提出了求解结构可靠度的直接积分方法。给出了一些基本函数的概率密度函数。通过定义中间变量将这类特殊的极限状态函数转化为基本函数的函数,进而求出中间变量的概率密度函数,最终求出极限状态函数的概率密度函数.用积分的方法求出结构可靠度。该方法不用考虑随机变量服从何种概率分布,且计算结果为精确解。An integral method is presented for special limit state function which composed by sum, difference, product and quotient of random variables to solve structural reliability. Some probability density function of basic function is solved. The limit state function can be transformed into function of intervening variables. Probability density function of intervening variables can be solved by probability density function of basic function. Finally, probability density function of the limit state function and structural reliability is solved. What distribution random variables fellow is not considered and structural reliability computed is very precise.

关 键 词：极限状态函数 概率密度函数 结构可靠度 积分方法 

分 类 号：TB114.3[理学—概率论与数理统计]