Contribution to the Identification of Dominant Failure Modes in Structural Systems

  • Yoshisada Murotsu
  • Satoshi Matsuzaki
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 33)

Abstract

This paper is concerned with the extension and application of a multiplication factor method to the identification of dominant failure modes in structural systems. First, the multiplication factor method proposed for a simple limit state function consisting of two basic variables, i.e., a resistance and a load, is extended to estimate the failure probabilities of the general cases where the resistance and the load effect are expressed as linear combinations of basic random variables. Second, the proposed method is compared through numerical examples with the advanced first-order second-moment method, and its effectiveness is verified. Third, the multiplication factor method is implemented to the automatic selection of dominant failure modes in structural systems by using the branch-and-bound method. Finally, the validity of the proposed procedure is demonstrated by identifying the dominant failure modes which include the non-normal basic variables.

Key Words

Reliability Engineering Non-normal Basic Variables Multiplication Factor Method Reliability Assessment Dominant Failure Modes Branch-and-bound Method 
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References

  1. [1]
    Murotsu, Y., Okada, H., Niwa, K. and Miwa, S: A New Method for Evaluating Lower and Upper Bounds of Failure Probability in Redundant Truss Structures. Bull. Univ. Osaka Pref., Ser. A, 28, 1 (1979), pp. 79–91.Google Scholar
  2. [2]
    Murotsu, Y., Okada, H., Niwa, K. and Miwa, S: Reliability Analysis of Truss Structures by Using Matrix Method. Trans. of the ASME, J. Mechanical Design, 102, 4 (1980), pp. 749–756.CrossRefGoogle Scholar
  3. [3]
    Murotsu, Y., Okada, H., Yonezawa, M. and Taguchi, K.: Reliability Assessment of Redundant Structures. Structural Safety and Reliability (ed. Moan, T. and Shinozuka, M.), Elsevier (1981), pp. 315–329.Google Scholar
  4. [4]
    Thoft-Christensen, P. and Sorensen, J. D. Calculation of Failure Probabilities of Ductile Structures by the 8-unzipping Method. Institute of Building Technology and Structural Engineering, Aalborg, Report 8208, 1982.Google Scholar
  5. [5]
    Murotsu, Y., Reliability Analysis of Frame Structure through Automatic Generation of Failure Modes. Reliability Theory and Its Application in Structural and Soil Mechanics (ed. Thoft-Christensen, P.), Martinus Nijihoff, 1982, pp. 525–540.Google Scholar
  6. [6]
    Murotsu, Y., Okada, H., Yonezawa, M. and Kishi, M., Identification of Stochastically Dominant Failure Modes in Frame Structure. Proc. 4th Int. Conf. Appl. Stat, and Prob. in Soil and Struc. Eng., Universita di Firenze (Italy). Pitagora Editrice, 1983, pp. 1325–1338.Google Scholar
  7. [7]
    Moses, F. and Rashedi, M. R., The Application of System Reliability to Structural Safety. Proc. 4th Int. Conf. on Appl. of Statistics and Probability in Soil and Structural Mechanics, Universita di Firenze (Italy). Pitagora Editrice, Blogna, 1983, pp. 573–584.Google Scholar
  8. [8]
    Grimmelt, M. J., Schueller, G. I. and Murotsu, Y.: On the Evaluation of Collapse Probabilities. Chen, W. F. and Lewis, A. D. M. (ed.), Recent Advances in Engineering Mechanics and Their Impact On Civil Engineering Practice, Proc. 4th ASCE-EMD Specialty Conf., Purdue University, 1983, pp. 859–862.Google Scholar
  9. [9]
    Crohas, H., Tai, A., Hachemi, V. and Barnoin, B.: Reliability of Offshore Structures under Extreme Environmental Loading. OTC Conference Paper 4826, 1984.Google Scholar
  10. [10]
    Baadshaug, O. and Bach-Gansmo, O.: System Reliability Analysis of Jacket Structure. Structural Safety and Reliability (eds. Konishi, I., et al.), Vol.II, IASSAR, 1985, PP.613–617.Google Scholar
  11. [11]
    Ditlevsen, O. and Bjerager, P.: Reliability of Highly Redundant Plastic Structures. J. Engrg. Mech., ASCE, Vol. 10, EM-5 (1984), pp. 671–693.CrossRefGoogle Scholar
  12. [12]
    Melchers, R. E. and Tang, T. K.: Dominant Failure Modes in Stochastic Structural Systems. Structural Safety, 2, 1984, pp. 127–143.CrossRefGoogle Scholar
  13. [13]
    Bennett, R. M.: Reliability Analysis of Frame Structures with Brittle Components. Structural Safety, 2, 1985, pp. 281–290.CrossRefGoogle Scholar
  14. [14]
    Thoft-Christensen, P., and Murotsu, Y. Application of Structural Systems Reliability Theory, Springer Verlag, Berlin (West ), 1986.MATHGoogle Scholar
  15. [15]
    Murotsu, Y. Development in Structural Systems Reliability Theory. Nuclear Engineering and Design, 94, 1986, pp. 101–114.CrossRefGoogle Scholar
  16. [16]
    Murotsu, Y., Matsuzaki, S. and Okada, H.: Automatic Generation of Stochastically Dominant Failure Modes for Large-scale Structures. JSME International Journal, Vol. 30, No. 260, 1987, pp. 234–241.Google Scholar
  17. [17]
    Murotsu, Y., Yonezawa, M., Okada, H., Matsuzaki, S. and Matsumoto, T.: A Study on First-Order Second-Moment Methods in Structural Reliability. Bulletin of University of Osaka Prefecture, Series A, Vol. 33, No. 1, 1984, pp. 23–26.MATHGoogle Scholar
  18. [18]
    Rackwitz, R. and Fiessler, B.: An Algorithm for Calculation of Structural Reliability under Combined Loading. Berichte zur Sicherheitstheorie der Bauwerke, Lab. f. Konstr. Ingb., Techn. Univ. Munchen, Munchen, 1977.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • Yoshisada Murotsu
    • 1
  • Satoshi Matsuzaki
    • 1
  1. 1.Department of Aeronautical EngineeringUniversity of Osaka PrefectureSakai, Osaka 591Japan

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