Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method

被引:0
|
作者
Meng G.-W. [1 ]
Wei T.-H. [1 ]
Zhou L.-M. [1 ]
Li F. [1 ]
机构
[1] School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, Jilin
来源
Li, Feng (fengli@jlu.edu.cn) | 2018年 / China Ordnance Industry Corporation卷 / 39期
关键词
Dimensionality reduction algorithm; Fourth-order moment; Interval variable; Structural reliability analysis; Taylor expansion model;
D O I
10.3969/j.issn.1000-1093.2018.07.019
中图分类号
学科分类号
摘要
A new reliability analysis method is proposed forhybrid uncertainty with both random variables and interval variables. The expression of the upper and lower bounds of structural function is obtained based on the Taylor expansion. By means of the dimensionality reduction method, the structural function is approximated as the sum of n one-dimensional variable functions. The fourth-order central moments of limit state function of structure are derived by utilizing the Taylor expansion. The upper and lower bounds of structural failure probability are obtained by using the fourth-order moment method. In the method, the distribution of random variables is not required, and the most probable failure point of iteration needs not to be solved. Several examples demonstrate that the proposed method has higher calculation accuracy and efficiency. © 2018, Editorial Board of Acta Armamentarii. All right reserved.
引用
收藏
页码:1404 / 1410
页数:6
相关论文
共 27 条
  • [1] Guo J., Du X.P., Sensitivity analysis with mixture of epistemic and aleatory uncertainties, AIAA Journal, 45, 9, pp. 2337-2349, (2007)
  • [2] Elishakoff I., Essay on uncertainties in elastic and viscoelastic structures: from A. M. Freudenthal's Criticism to Modern Convex modeling, Computers and Structures, 56, 6, pp. 871-895, (1995)
  • [3] Ben-Haim Y., A non-probabilistic concept of reliability, Structural Safety, 14, 4, pp. 227-245, (1994)
  • [4] Qiu Z., Elishakoff I., Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis, Computer Methods in Applied Mechanics and Engineering, 152, 3, pp. 361-372, (1998)
  • [5] Guo S.-X., Lyu Z.-Z., Feng Y.-S., A non-probabilistic model of structural reliability based on interval analysis, Chinese Journal of Computational Mechanics, 18, 1, pp. 56-60, (2001)
  • [6] Wang X.-J., Qiu Z.-P., Wu Z., Non-probabilistic set-based model for structural reliability, Chinese Journal of Theoretical and Applied Mechanics, 39, 5, pp. 641-646, (2007)
  • [7] Qiu Z.-P., Wang X.-J., An interal method for sensitivity analysis of the structures, Acta Armamentarii, 26, 6, pp. 798-802, (2005)
  • [8] Qiao X.-Z., Qiu Y.-Y., Cao H.-J., Application of interval analysis method and convex models to multidisciplinary systems, Acta Armamentarii, 29, 7, pp. 844-848, (2008)
  • [9] Yun Y.-H., Chen J.-J., Cao H.-J., Non-probabilistic reliability analysis on resonance of thermal-structural coupling of a beam based on improved Kriging, Journal of Harbin Institute of Technology, 48, 10, pp. 131-136, (2016)
  • [10] Du X.P., Sudjianto A., Huang B.Q., Reliability-based design with the mixture of random and interval variables, Journal of Mechanical Design, 127, 6, pp. 1068-1076, (2005)