Comparsion Analysis on the Two Structural Non-probabilistic Reliability Indices
-
摘要: 结构非概率可靠性模型通常采用非概率可靠性指标来度量可靠性。文中对结构非概率可靠性指标的两种定义,即结构功能函数的均值与离差之比及标准化区间变量空间原点到失效面的最短距离进行了研究。研究结果表明:1)当结构功能函数为线性函数时,两种定义具有一致性。2)当结构功能函数为非线性函数时,前者度量结构可靠性存在一定偏差,而后者可以准确度量结构可靠性。3)前者依赖于结构功能函数的表达形式,而后者则与结构功能函数的表达形式无关。实例分析验证了文中结论。Abstract: In structural non-probabilistic reliability model,structure reliability is typically measured by non-probabilistic reliability index.In this paper,two definitions of structural non-probabilistic reliability index are investigated,which are the ratio of mean value to deviation of structural performance function and the minimum distance from the origin to the failure surface in normal interval variables space.The results show that: 1) when the structural function is a linear function,the consistency of the two definitions is proved.2) when the structure function is a nonlinear function,there are slight deviation in measuring structural reliability using the former definition,whereas no deviation using the latter one.3) the former definition depends on the expression form of structural performance function,but the latter one does not.The conclusions are verified by two examples.
-
Key words:
- structural reliability /
- non-probabilistic reliability /
- reliability index
-
[1] 吕震宙,冯蕴雯. 结构可靠性问题的若干进展[J].力学进展,2000,(01):21-28. [2] Ben-Haim Y. Robust reliability of structures[J].Advances in Applied Mechanics,1997.1-41. [3] Ben-Haim Yakov. Robust Reliability in the Mechanical Sci-ences[M].Beilin:Springer-Verlag,1996. [4] 李永华. 结构稳健可靠性分析的凸集模型[J].应用基础与工程科学学报,2004,(04):383-391. [5] Qiu z P. The new non-probabilistic criterion of failure for dynamical systems based on convex models[J].Mathematical and Computer Modelling,2004,(1,2):201-215. [6] 邱志平,陈山奇,王晓军. 结构非概率鲁棒可靠性准则[J].计算力学学报,2004,(01):l-6. [7] 郭书祥,吕震宙,冯元生. 基于区间分析的结构非概率可靠性模型[J].计算力学学报,2001,(01):56-60. [8] 郭书祥,吕震宙. 结构非概率可靠性指标的求解方法[J].计算力学学报,2005,(02):227-221. [9] Jiang T. A semi-analytic method for solution of non-proba-bilistic reliability index based on interval models[J].Applied Mathematical Modelling,2007,(07):1362-1370. [10] Chen X Y,Tang Chak-yin,Tsui Chi-pong. Modified scheme based on semi-analytic approach for computing non-prob-abilistic reliability index[J].Aeta Meehanica Salida Siniea,2010,(02):115-123. [11] 宋总凤,陈建军,李治明. 考虑刚度非概率可靠性约束的连续体结构的拓扑优化设计[J].机械科学与技术,2009,(07):900-904. [12] 陈旭勇,樊建平. 凸集模型非概率可靠性在桥梁评估中的应用[J].华中科技大学学报,2009,(12):120-123. [13] 魏宗平,李天恩. 基于强度退化分析的结构非概率动态可靠性模型[J].机械科学与技术,2011,(08):1397-1401. [14] 刘成立. 复杂结构可靠性分析与设计研究[D].西安:西北工业大学,2006. [15] 贡金鑫. 工程结构可靠度计算方法[M].大连:大连理工大学出版社,2003. -

计量
- 文章访问数: 113
- HTML全文浏览量: 10
- PDF下载量: 3
- 被引次数: 0