Abstract
Several load combination methods are studied for simple rare events models by introducing multiple safety domains. The relationship between conventional load combination methods is summarized in terms of exceedance’ probability and occurrence number. Furthermore, approximations of exceedance probability including the upper and the lower bounds corresponding to special occurrence properties of elementary events such as ‘always on’ and nearly ‘always off’ are discussed. Several remarks on numerical issues concerning the calculation of the convolution integrals appearing in the load combination methods are presented as well.
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References
Larrabee, R.D., and Cornell, C.A., “Combination of Various Load processes,” Journal of Structural Division, ASCE, Vol.107, No.ST1, Jan., 1981, pp. 223–239.
Larrabee, R.D., and Cornell, C.A.,”Upcrossing Rate Solution for Load Combinations,” Journal of Structural Division, ASCE, Vol.105, No.ST1, Jan., 1979, pp. 125–132.
Madsen, H.O., Krenk, S., and Lind, N.C., Method of Structural Safety, Prentice-Hall, Englewood Cliffs, New Jersey, 1986
Turkstra, C.J., “Theory of Structural Safety,” Solid Mechanics Study, No.2, Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, 1970.
Wen, Y.K., “Statistical Combination of Extreme Loads,” Journal of Structural Division, ASCE, Vol.103, May 1977, pp. 1079–1093.
Wen, Y.K., Structural Load Modeling and Combination for Performance and Safety Evaluation, Elsevier Science Publishers, Amsterdam,1990.
Winterstein, S.R., and Cornell, C.A., “Load Combination and Clustering Effects,” Journal of Structural Division, ASCE, Vol.110, No.11, November, 1984, pp. 2690–2707.
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© 1991 Computational Mechanics Publications
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Katukura, H., Mizutani, M., Ogawa, S., Takada, T. (1991). Exceedance Probabilities Under Various Combinations of Rare Events. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_3
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DOI: https://doi.org/10.1007/978-94-011-3692-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
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