强度与环境
彊度與環境
강도여배경
STRUCTURE & ENVIRONMENT ENGINEERING
2012年
6期
14-21
,共8页
极限状态函数%概率密度函数%结构可靠度%积分方法
極限狀態函數%概率密度函數%結構可靠度%積分方法
겁한상태함수%개솔밀도함수%결구가고도%적분방법
limit state function%probability density function%structural reliability%integral method
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.
針對一類極限狀態函數為隨機變量的和差積商的有理函數形式,提齣瞭求解結構可靠度的直接積分方法.給齣瞭一些基本函數的概率密度函數.通過定義中間變量將這類特殊的極限狀態函數轉化為基本函數的函數,進而求齣中間變量的概率密度函數,最終求齣極限狀態函數的概率密度函數.用積分的方法求齣結構可靠度.該方法不用攷慮隨機變量服從何種概率分佈,且計算結果為精確解.
침대일류겁한상태함수위수궤변량적화차적상적유리함수형식,제출료구해결구가고도적직접적분방법.급출료일사기본함수적개솔밀도함수.통과정의중간변량장저류특수적겁한상태함수전화위기본함수적함수,진이구출중간변량적개솔밀도함수,최종구출겁한상태함수적개솔밀도함수.용적분적방법구출결구가고도.해방법불용고필수궤변량복종하충개솔분포,차계산결과위정학해.
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.
