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刘成立,吕震宙.扩展重要抽样法及其在平尾转轴可靠性分析中的应用[J].计算力学学报,2005,22(3):349~354
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扩展重要抽样法及其在平尾转轴可靠性分析中的应用
Extended importance sampling and its application in reliability analysis of the rotating shaft of some horizontal tailplane
  修订日期:2003-04-30
DOI:10.7511/jslx20053070
中文关键词:  扩展重要抽样法  扩展设计点  可靠性分析
英文关键词:inter-particle collision,Monte-Carlo arithmetic,probability density function,gas-particle turbulence
基金项目:航空基金(00B53010),航天基金(2003CH0502),陕西省自然科学基金(2003CS0501)资助项目.
刘成立  吕震宙
西北工业大学航空学院,陕西西安710072
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中文摘要:
      提出了扩展重要抽样法,用以计算结构系统的多个失效模式中含有不全相同基本随机变量时的系统失效概率。通过构造扩展重要抽样法的抽样密度函数,给出该方法失效概率的估计值,以及其方差和变异系数的计算公式。并将此方法用于某型飞机平尾转轴的可靠性分析,算例结果表明其优越性。
英文摘要:
       Making use of inter-particle collisions dynamics and probability of inter-particle collision, a Monte-Carlo arithmetic is set up to take into account inter-particle collisions, which is coupled with a hybrid finite-difference-Monte-Carlo numerical arithmetic that is proposed for Reynold stress model(RSM)-probability density distribution function(PDF) two-phase turbulence model. This hybrid arithmetic is used to simulate a swirling gas-particle flows which take place in a axial symmetry and suddenly expanded pipe. The result of numerical simulation shows: (1) inter-particle collisions redistribute kinetic energy and turbulence kinetic energy of particle in three coordinate directions, as a result, the distribution of those energy inclines to isotropy; (2) because inter-particle collisions destroy the fluctuation velocity correlation of particle-particle and particle-gas, turbulence kinetic energy of particle and fluctuation velocity correlation of particle-gas phase decrease.
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