Abstract
A real structural system is so complex that direct exact calculation of the probability of failure is completely impossible. The number of possible different failure modes is so large that they cannot all be taken into account, and even if they could all be included in the analysis exact probabilities of failure cannot be calculated. It is therefore necessary to idealize the structure so that the estimate of the reliability becomes manageable. Not only the structure itself but also the loading must be idealized. Because of these idealizations it is important to bear in mind that the estimates of e.g. probabilities of failure are related to the idealized system (the model) and not directly to the structural system. The main objective of a structural reliability analysis is to be able to design a structure so that the probability of failure is minimized in some sense. Therefore, the model must be chosen carefully so that the most important failure modes for the real structures are reflected in the model.
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Bibliography
Thoft-Christensen, P. & Baker, M. J.: Structural Reliability Theory and Its Applications. Springer-Verlag, Berlin, Heidelberg, New York, 1982.
Sorensen, J. D. & Thoft-Christensen, P.: Model Uncertainty for Bilinear Hysteretic Systems. System Modelling and Optimization (ed. P. Thoft-Christensen).Proc. 11th IFIP Conference, Copenhagen, Denmark, 1983. Springer-Verlag, Berlin-Heidelberg, 1984, pp. 585–594.
Grigoriu, M., Veneziano, D. & Cornell, C. A.: Probabilistic Modelling as Decision Making. A.CE, J. Eng. Mech. Div., Vol. 105, No. EM4, Aug. 1979, pp. 585–597.
Ditlevsen, O.: Model Uncertainty in Structural Reliability. Structural Safety, Vol. 1, No. 1, Sept. 1982, pp. 73–86.
Ang, A. H.-S.: Structural Risk Analysis and Reliability-Based Design. ASCE, J. Struct. Div., Vol. 39, No. ST9, Sept. 1973, pp. 1891–1910.
Milford, R. V.: Structural Reliability and Crosswind Response of Tall Chimneys. Eng. Struct., Vol. 14, Oct. 1982, pp. 263–270.
The Nordic Committee on Building Regulations (NKB), The Loading and Safety Group: Recommendations for Loading and Safety Regulations for Structural Design. NKB-Report No. 36, Nov. 1978.
Melchers, R. E. & Tang, L. K.: Reliability of Structural Systems with Stochastically Dominant Modes. Monash University, Australia, Civil Engineering Research Report No. 2/1983.
Daniels, M. E.: The Statistical Theory of the Strength of Bundles of Threads. Proc. Royal Soc., Ser. A, Vol. 183, 1945, pp. 405–435.
Lind, N. C., Krenk, S. & Madsen, H. O.: Safety of Structures. To be published by Prentice Hall Inc., 1985.
Hohenbichler, M.: Resistance of Large Brittle Parallel Systems. Proc. 4th Int. Conf. Appl. Stat. and Prob. in Soil and Struc. Eng., University of Firenze, Italy, June 1983, pp. 1301–1312.
Hohenbichler, M. & Rackwitz, R.: Reliability of Parallel Systems under Imposed Uni- form Strain. J. Eng. Mech., ASCE, Vol. 109, No. 3, June 1983, pp. 896–907.
Kaufmann, A., Grouchko, D. & Cruon, R.: Mathematical Models for the Study of the Reliability of Systems. Academic Press. New York, San Francisco, London, 1977.
Dunnett, C. W. L. & Sobel, A.: Approximations to the Probability of Integral and Certain Percentage Points of a Multivariate Analogue of Students’ t-Distribution. Biometrika, Vol. 42, pp. 258–260.
Hohenbichler, M.: An Approximation to the Multivariate Normal Distribution Function. Reliability of Structural Systems, SFB 96, Technische Universität, München. Also in Proc. 155th Euromech on Reliability of Structural Eng. Systems, Lyngby, Denmark, June 1982, pp. 79–110.
Murotsu, Y., Yonezawa, M., Oba, F. & Niwa, K.: Method for Reliability Analysis of Structures. Advances in Reliability and Stress Analysis (ed. Burns, J. J., Jr.), ASME Publication No. H00119, 1979, pp. 3–21.
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Thoft-Christensen, P., Murotsu, Y. (1986). Modelling of Structural Systems. In: Application of Structural Systems Reliability Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82764-8_2
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DOI: https://doi.org/10.1007/978-3-642-82764-8_2
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