RESEARCH ON THE METHOD FOR RELIABILITY ANALYSIS OF STRUCTURAL SYSTEMS BASED ON THE DIMENSIONAL-REDUCTION INTEGRATION
-
摘要: 复杂结构系统一般具有多个失效模式. 传统系统可靠性分析模型是在假设各失效模式相互独立的条件下建立的. 而在工程实际问题中,由于结构系统的组成单元之间紧密联系,系统的失效模式大多是相互耦合的. 简单地在失效模式相互独立的假设条件下进行系统可靠性分析与评价常常会导致过大的误差,甚至得出错误的结论. 提出一种相关失效模式结构系统可靠性分析方法. 利用降维法和Gauss-Hermite数值积分技术计算随机参数结构系统极限状态函数的统计矩,采用极限状态函数的前四阶累积量拟合其累积量生成函数,通过鞍点逼近方法拟合结构系统极限状态函数的概率密度函数和累积分布函数,进而获取结构系统的可靠度(或失效概率).数值算例表明该方法具有较高的计算精度和效率,通用性强.Abstract: There are usually several failure models in a complex structural system. The conventional model for system analysis is built under the condition that all failure models are independent with each other. However, in engineering practice, failure models in a system are mostly dependent due to the fact that the elements of a structural system are closely interrelated. System reliability analysis and evaluation simply conducted under the condition that all failure models are independent with each other often result in excessive errors or even wrong conclusion. This paper proposes a method for reliability analysis of engineering structural systems with dependent failure models. The dimensional reduction method and Gauss-Hermite quadrature are applied to compute the statistic moments of the limit state functions of structural systems with random parameters. The first four cumulants of the limit state functions are used to approximate cumulant generating functions. The probability density function and cumulative distribution function of the limit state functions of the structural systems are fitted through saddlepoint approximation. And then the reliability (or failure probability) of the structural system is obtained. Finally, the practicality and efficiency of the proposed method are demonstrated by a numerical example.
-
陈卫东, 李建操. 基于改进等效平面法的结构系统可靠性分析. 力学学报, 2012,44(4): 797-801 (Chen Weidong, Li Jiancao. Advanced equivalent plane method for structural system reliability. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(4): 797-801 (in Chinese)) Naess A, Leira BJ, Batsevychc O. System reliability analysis by enhanced Monte Carlo simulation. Structural Safety, 2009, 31(5): 349-355 Ditlevsen O. Narrow reliability bounds for structural systems. Journal of Structural Mechanics, 1979, 7(4): 453-472 Song JH, Kiureghian AD. Bounds on system reliability by linear programming. Journal of Engineering Mechanics, 2003, 129(6): 627-636 Chang Y, Mori Y. A study on the relaxed linear programming bounds method for system reliability. Structural Safety, 2013, 41(2): 64-72 Bichon BJ, McFarland JM, Mahadevan S. Efficient surrogate models for reliability analysis of systems with multiple failure modes. Reliability Engineering & System Safety, 2011, 96(10): 1386-1395 Xu H, Rahman S. A generalized dimension-reduction method for multidimensional integration in stochastic mechanics. International Journal for Numerical Methods in Engineering, 2004, 61(12): 1992-2019 Butler RW. Saddlepoint Approximations with Applications. New York: Cambridge University Press, 2007 Gillespie CS, Renshaw E. An improved saddlepoint approximation. Mathematical Biosciences, 2007, 208(2): 359-374 -
点击查看大图
计量
- 文章访问数: 1893
- HTML全文浏览量: 65
- PDF下载量: 1656
- 被引次数: 0
下载:
