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Abstract

In the foregoing chapters, various methods for reliability analysis of structural systems have been discussed. The structural reliability or structural probability of failure thus evaluated may be utilized for the assessment of adequacy of the newly designed structures and the safety of the existing structures, for the probabilistic risk analysis, for the planning of inspection and maintenance strategy, etc. Structural reliability is also to be applied to the design of the structural systems, and a major goal of structural systems reliability theory is the optimum design based on the reliability concept. This chapter is devoted to this subject. However, the state of art is at an early stage of development. This may be attributed to the difficulty of structural reliability analysis and the lack of efficient algorithms to obtain the optimum solutions for the optimum design problems.

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Bibliography

  1. Murotsu, Y., Yonezawa, M., Oba, F., and Niwa, K.: Method for Reliability Analysis and Optimum Design of Structural Systems. Proceedings of the 12th International Symposium on Space Technology and Science, Tokyo, 1977, pp. 1047–1054.

    Google Scholar 

  2. Murotsu, Y., Yonezawa, M., Oba, F., and Niwa, K.: Method for Reliability Analysis of Structures, in: Burns, J. J., Jr. (ed.): Advances in Reliability and Stress Analysis, ASME Publication No. H00119, 1979, pp. 3–21.

    Google Scholar 

  3. Hilton, H. and Feigen, M.: Minimum Weight Analysis Based on Structural Safety. J. Aerospace Sciences, Vol. 27, No. 9, (1960), pp. 641–652.

    MATH  MathSciNet  Google Scholar 

  4. Switzky, H.: Minimum Weight with Structural Reliability. J. Aircraft, Vol. 2, No. 3 (1965), pp. 228–232.

    Article  Google Scholar 

  5. Murthy, P. N., and Subramanian, G.: Minimum Weight Analysis Based on Structural Reliability. AIAA J., Vol. 6, No. 10, (1968), pp. 2037–2038.

    Article  Google Scholar 

  6. Kalaba, R.: Design of Minimal-Weight Structures for Given Reliability and Cost. J. Aerospace Sciences, Vol. 29, (1962), pp. 355–356.

    Google Scholar 

  7. Moses, F. and Kinser, D. E.: Optimum Structural Design with Failure Probability Constraints. AIAA J., Vol. 5, No. 6, (1967), pp. 1152–1158.

    Article  Google Scholar 

  8. Frangopol, D. M.: Multicriteria Reliability-Based Structural Optimization. Structural Safety, Vol. 3, No. 1 (1985), pp. 23–26.

    Article  Google Scholar 

  9. Murotsu, Y., Yonezawa, M., Oba, F., and Niwa, K.: Optimum Structural Design under Constraint on Failure Probability. ASME Paper 79-DET-114, (1979).

    Google Scholar 

  10. Himmelblau, D. H.: Applied Nonlinear Programming. McGraw-Hill, New York, (1972).

    MATH  Google Scholar 

  11. Yonezawa, M., Murotsu, Y., Oba, F., and Niwa, K.: Optimum Reliability and Structures in Reliability-Based Design. Archives of Mechanics, Vol. 30, No. 3 (1978), pp. 227–241.

    MATH  Google Scholar 

  12. Niwa, K., Yonezawa, M., Oba, F., and Murotsu, Y.: Optimum design of Structures Based on Reliability Concept (in Japanese). Journal of the Society of Materials Science, Vol. 29, No. 316, (1980), pp. 37–43.

    Article  Google Scholar 

  13. Mau, S. and Sexsmith, R. G.: Minimum Expected Cost Optimization. J. Structural Division, Proc. ASCE, Vol. 9, ST-9, (1972), pp. 2043–2058.

    Google Scholar 

  14. Shinozuka, M.: Method of Safety and Reliability Analysis. Int. Conf. on Structural Reliability, Pergamon Press, New York, (1972), pp. 11–45.

    Google Scholar 

  15. Murotsu, Y., Yonezawa, M., Oba, F., and Niwa, K.: Optimum Structural Design Considering Costs Caused by Failure of Structures. Bulletin of University of Osaka Prefecture, Series A, Vol. 26, No. 2 (1977), pp. 94–110.

    MathSciNet  Google Scholar 

  16. ] Murotsu, Y., Yonezawa, M., Oba, F., and Niwa, K.: Optimum Design Problems in Reliability-Based Structural Design. HOPE International Symposium: Hazard Free Operation Against Potential Emergencies, Oct. 30 - Nov. 2, 1977, Tokyo, pp. 461–466.

    Google Scholar 

  17. Yonezawa, M., Murotsu, Y., Oba, F., and Niwa, K.: Various Optimum Design Problems Based on Reliability (in Japanese). Transactions of Japan Society of Mechanical Engineers, Vol. 45, No. 396 (1978), pp. 884–892.

    Article  Google Scholar 

  18. Kishi, M., Murotsu, Y., Okada, H., and Taguchi, K.: Probabilistically Optimum Design of Offshore Platforms Considering Maintanance Costs, in: Konishi, I., et al. (ed.), Structural Safety and Reliability, Vol. II (1985), pp. 557–563.

    Google Scholar 

  19. Keeney, R. L. and Raiffa, H.: Decision Analysis with Multiple Objectives, Preferences and Value Trade-Offs. John Wiley & Sons (1976).

    Google Scholar 

  20. Kishi, M., Murotsu, Y., and Taguchi, K.: Optimum Design of Offshore Platforms Minimizing Expected Total Costs (in Japanese). Transactions of the Society of Naval Architects of Japan, No. 157 (1985), pp. 469–478.

    Google Scholar 

  21. Casciati, F. and Faravelli, L.: Structural Reliability and Structural Design Optimization. in: Konishi, I., et al. (ed.): Structural Safety and Reliability, Vol. III, IASSAR (1985), pp. 61–70.

    Google Scholar 

  22. Murotsu, Y., Miwa, S., Niwa, K., and Taguchi, K.: Design of Truss Structure with Spec fied Values of Reliability (in Japanese). Transactions of Japan Society of Mechanical Engineers, Vol. 47, No. 416 (1981), pp. 211–220.

    Article  Google Scholar 

  23. Yonezawa, M., Murotsu, Y., Okada, H., and Taguchi, K.: Optimum Allocation of Relia bility in Redundant Truss Structure (in Japanese). Journal of the Society of Materials Science, Japan, Vol. 30, No. 339 (1981), pp. 1235–1241.

    Article  Google Scholar 

  24. Det Norske Veritas: Inservice Inspection of Permanently Installed Steel and Concrete Structures for Petroleum Production. Journal of the Society of Naval Architects of Japan, No. 617 (1980), pp. 648–658.

    Google Scholar 

  25. Murotsu, Y., Kishi, M., Okada, H., Yonezawa, M., and Taguchi, K.: Probalistically Optimum Design of Frame Structure, in: P. Thoft-Christensen (ed.): System Modelling and Optimization. Springer-Verlag (1984), pp. 545–554.

    Chapter  Google Scholar 

  26. Timoshenko, S. T. and Gere, J. M.: Theory of Elastic Stability. McGraw-Hill, New York (1961).

    Google Scholar 

  27. Thoft-Christensen, P. and Sørensen, J. D.: Optimization and Reliability of Structural Systems. NATO ASI on »Computational Mathematical Programming», Bad Windsheim, FRG, July 1984. Structural Reliability Theory, Paper no. 6, Aalborg University Centre, R8404, July 1984.

    Google Scholar 

  28. Sørensen, J. D. and Thoft-Christensen, P.: Structural Optimization with Reliability Constraints. IFIP Conf. on »System Modelling and Optimization», Budapest, Hungary, Sept. 1985. Structural Reliability Theory, Paper no. 13, Aalborg University Centre, R8507, July 1985.

    Google Scholar 

  29. Gorman, M. R.: Reliability of Structural Systems. Report No. 79–2, Case Western Reserve University, Ohio, Ph.D. Thesis, 1979.

    Google Scholar 

  30. Schittkowski, K.: Theory, Implementation, and Test of a Nonlinear Programming Algorithm. Proc. Euromech-Colloquium 164 on »Optimization Methods in Structural Design», 1982, Bibliographisches Institut, Mannheim, 1983, pp. 122–132.

    Google Scholar 

  31. Fleury, C.: Structural Weight Optimization by Dual Methods of Convex Programming. International Journal for Numerical Methods in Engineering, Vol. 14, 1979, pp. 1761–1783.

    Article  MATH  Google Scholar 

  32. Sorensen, J. D., Thoft-Christensen, P. & Sigurdsson, G.: Development of Applicable Methods for Evaluating the Safety of Offshore Structures, Part 2. Structural Reliability Theory, Paper no. 11, Institute of Building Technology and Structural Engineering, The University of Aalborg, May 1985.

    Google Scholar 

  33. Thoft-Christensen, P. & Sørensen, J. D.: Reliability of Structural Systems with Correlated Elements. Applied Mathematical Modelling, Vol. 6, 1982, pp. 171–178.

    Article  Google Scholar 

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© 1986 Springer-Verlag Berlin, Heidelberg

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Thoft-Christensen, P., Murotsu, Y. (1986). Optimization of Structural Systems. In: Application of Structural Systems Reliability Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82764-8_8

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  • DOI: https://doi.org/10.1007/978-3-642-82764-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82766-2

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