矩方法在多失效模式下可靠性全局灵敏度分析中的应用  

Moment method for global sensitivity analysis in multiple failure modes

作　　者：吕媛波[1] 吕震宙[1] 李贵杰[1] 

机构地区：[1]西北工业大学,西安710072

出　　处：《应用力学学报》2010年第3期486-491,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50875213);航空基金(2007ZA53012);民口863计划课题(2007AA04Z401);科技重大专项基金(2009ZX04014-015-03)

摘　　要：针对工程实际中经常出现的多失效模式可靠性模型,建立了多失效模式下可靠性全局灵敏度分析的矩方法。在所选模型中,将四阶矩方法和Edgeworth级数展开式结合起来,有效地近似了多失效模式下响应功能函数的分布函数,为基本随机变量全局灵敏度分析中响应功能函数的条件概率密度和无条件概率密度函数的计算提供了一种简便高效的方法。算例结果显示了所选方法的合理性和可行性。For reliability model with multiple failure modes commonly used in engineering practice, the moment method is proposed for analysis of the global effect of the basic random variable in case of the multiple failure modes. In the proposed method, fourth-order moment method is combined with the Edgeworth expansion for approximating the probability distribution of the response performance function of the multiple failure modes effectively, which provides a simple and efficient method for solving the conditional and unconditional probability density functions of the response performance function. Several examples are used to demonstrate the rationality and feasibility of the method.

关 键 词：多失效模式 基本随机变量 全局灵敏度 响应功能函数 矩方法 

分 类 号：TB114.3[理学—概率论与数理统计]