哈尔滨工程大学学报
哈爾濱工程大學學報
합이빈공정대학학보
JOURNAL OF HARBIN ENGINEERING UNIVERSITY
2014年
8期
942-947
,共6页
可靠性分析%灵敏度分析%有限步长迭代法%等效平面法
可靠性分析%靈敏度分析%有限步長迭代法%等效平麵法
가고성분석%령민도분석%유한보장질대법%등효평면법
reliability analysis%sensitivity analysis%limit step length iteration method%equivalent plane method
为了提高可靠性灵敏度分析方法的计算精度和效率,基于有限步长迭代法和逐步等效平面法,提出了用于计算失效概率对随机变量的敏度值的方法。算例分析表明:无论安全余量是线性的还是非线性的,该方法都是可行且高效的;当安全余量为非线性时,该方法比基于Monte-Carlo的敏度分析方法更为高效,其计算结果比改进的一次二阶矩敏度分析方法更精确;将可靠性指标越高的安全余量安排在等效路径的前面,且将可靠性指标越低的安全余量安排在等效路径的后面,该方法的计算结果越精确。
為瞭提高可靠性靈敏度分析方法的計算精度和效率,基于有限步長迭代法和逐步等效平麵法,提齣瞭用于計算失效概率對隨機變量的敏度值的方法。算例分析錶明:無論安全餘量是線性的還是非線性的,該方法都是可行且高效的;噹安全餘量為非線性時,該方法比基于Monte-Carlo的敏度分析方法更為高效,其計算結果比改進的一次二階矩敏度分析方法更精確;將可靠性指標越高的安全餘量安排在等效路徑的前麵,且將可靠性指標越低的安全餘量安排在等效路徑的後麵,該方法的計算結果越精確。
위료제고가고성령민도분석방법적계산정도화효솔,기우유한보장질대법화축보등효평면법,제출료용우계산실효개솔대수궤변량적민도치적방법。산례분석표명:무론안전여량시선성적환시비선성적,해방법도시가행차고효적;당안전여량위비선성시,해방법비기우Monte-Carlo적민도분석방법경위고효,기계산결과비개진적일차이계구민도분석방법경정학;장가고성지표월고적안전여량안배재등효로경적전면,차장가고성지표월저적안전여량안배재등효로경적후면,해방법적계산결과월정학。
To improve the computational accuracy and efficiency of the reliability sensitivity analysis method, a new method was proposed to calculate the sensitivity which shows the influence of the random variable on the failure probability. This method is based on the limit step length iteration method and the step-by-step equivalent plane method. The example shows that this method is feasible and efficient whether the safety margin is linear or nonlin-ear. When the safety margin is nonlinear, this method is more efficient than the sensitivity method based on the Monte-Carlo method. And the calculation results are more accurate than the sensitivity analysis method based on the advanced first order and second moment method. The results of this method are more accurate when the safety mar-gin with a higher reliability index is arranged in front of the equivalent path, and the safety margin with a lower reli-ability index is arranged in back of the equivalent path.