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Exceedance Probabilities Under Various Combinations of Rare Events

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Computational Stochastic Mechanics
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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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© 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

  • eBook Packages: Springer Book Archive

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