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
3期
272-275,358
,共5页
董玉革%付世同%顾德华%吴松
董玉革%付世同%顧德華%吳鬆
동옥혁%부세동%고덕화%오송
应力强度干涉模型%失效概率%标准正态坐标系%失效区%圆环区域
應力彊度榦涉模型%失效概率%標準正態坐標繫%失效區%圓環區域
응력강도간섭모형%실효개솔%표준정태좌표계%실효구%원배구역
stress-strength interference model%failure probability%standard normal coordinate system%failure domain%ring domain
与应力强度干涉模型可靠性分析中通常采用的干涉变量不同,文章引入另一随机变量,并用若干个圆心为标准正态坐标系坐标原点的圆,把坐标平面划分为若干个圆环区域,每个圆环区域都包含总失效区的一部分,以实现总失效区的分割。通过计算引入的随机变量落在各圆环内失效区的概率,可得随机变量落在总失效区的概率。算例表明,文中的方法能够方便、有效地计算应力强度干涉模型的失效概率,计算结果可达到任意精度要求。
與應力彊度榦涉模型可靠性分析中通常採用的榦涉變量不同,文章引入另一隨機變量,併用若榦箇圓心為標準正態坐標繫坐標原點的圓,把坐標平麵劃分為若榦箇圓環區域,每箇圓環區域都包含總失效區的一部分,以實現總失效區的分割。通過計算引入的隨機變量落在各圓環內失效區的概率,可得隨機變量落在總失效區的概率。算例錶明,文中的方法能夠方便、有效地計算應力彊度榦涉模型的失效概率,計算結果可達到任意精度要求。
여응력강도간섭모형가고성분석중통상채용적간섭변량불동,문장인입령일수궤변량,병용약간개원심위표준정태좌표계좌표원점적원,파좌표평면화분위약간개원배구역,매개원배구역도포함총실효구적일부분,이실현총실효구적분할。통과계산인입적수궤변량락재각원배내실효구적개솔,가득수궤변량락재총실효구적개솔。산례표명,문중적방법능구방편、유효지계산응력강도간섭모형적실효개솔,계산결과가체도임의정도요구。
This paper introduces a random variable ,which is different from the common interference variable used in the reliability analysis of stress-strength interference model ,and a number of circles w hose centers are origin of coordinates in standard normal coordinate system are used to separate the coordinate plane into a number of ring domains .To divide the total failure domain ,each ring domain contains part of the total failure domain .The probability of the introduced variable falling in the total failure domain can be obtained easily by calculating the probability of the introduced variable falling in the divided failure domains of all ring domains .T he numerical examples show that the failure proba-bility of the stress-strength interference model can be calculated conveniently and efficiently by using the presented method ,and the calculation results can be obtained in arbitrary precision .