合肥工业大学学报（自然科学版）
閤肥工業大學學報（自然科學版）
합비공업대학학보（자연과학판）
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)
2014年
1期
30-33
,共4页
郭彪%顾德华%董玉革%吴方应
郭彪%顧德華%董玉革%吳方應
곽표%고덕화%동옥혁%오방응
一阶可靠性方法(FORM )%二阶可靠性方法(SORM )%组合失效区%可靠性分析%失效概率
一階可靠性方法(FORM )%二階可靠性方法(SORM )%組閤失效區%可靠性分析%失效概率
일계가고성방법(FORM )%이계가고성방법(SORM )%조합실효구%가고성분석%실효개솔
first order reliability method(FORM )%second order reliability method(SORM )%combina-tion failure domain%reliability analysis%failure probability
为了提高极限状态函数具有多极值点时失效概率计算的精度，文章提出了FORM 和SORM 组合法。该方法根据需要，分别选择FORM或 SORM在极值点处进行线性或二次展开计算失效概率，并将二次展开的极限状态函数近似用线性极限状态函数替代，以方便地完成 FORM 和SORM 的组合，实现原极限状态函数失效概率的近似计算。算例表明，文中的方法可以提高失效概率计算的精度。
為瞭提高極限狀態函數具有多極值點時失效概率計算的精度，文章提齣瞭FORM 和SORM 組閤法。該方法根據需要，分彆選擇FORM或 SORM在極值點處進行線性或二次展開計算失效概率，併將二次展開的極限狀態函數近似用線性極限狀態函數替代，以方便地完成 FORM 和SORM 的組閤，實現原極限狀態函數失效概率的近似計算。算例錶明，文中的方法可以提高失效概率計算的精度。
위료제고겁한상태함수구유다겁치점시실효개솔계산적정도，문장제출료FORM 화SORM 조합법。해방법근거수요，분별선택FORM혹 SORM재겁치점처진행선성혹이차전개계산실효개솔，병장이차전개적겁한상태함수근사용선성겁한상태함수체대，이방편지완성 FORM 화SORM 적조합，실현원겁한상태함수실효개솔적근사계산。산례표명，문중적방법가이제고실효개솔계산적정도。
T he combination of first order reliability method (FORM ) and second order reliability method (SORM ) is proposed in order to compute the failure probability with high accuracy w hen there are multiple extreme value points for limit state functions .If necessary ,FORM or SORM is selected to calculate the failure probability w hile the limit state function is expressed in the approximation of the linear or the secondary expansion limit state function .The secondary expansion limit state function is replaced by the linear limit state function so as to combine FORM and SORM easily and to compute the failure probability approximately based on the original limit state function .T he results of exam-ples show that the proposed method can improve the calculation accuracy of the failure probability .
