Abstract
The mean out-crossing rate of a nonlinear system subjected to stochastic excitation is computed by use of the first-order reliability method, FORM. The mean out-crossing rate can be used to compute an upper bound to the failure probability. The method can account for system stochasticity and can be extended to multi-degree-of-freedom systems. Three systems are investigated: a linear oscillator, a duffing oscillator, and a hysteretic oscillator.
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© 1997 Kluwer Academic Publishers
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Li, CC., Der Kiureghian, A. (1997). Large Mean out Crossing of Nonlinear Response to Stochastic Input. In: Cooke, R., Mendel, M., Vrijling, H. (eds) Engineering Probabilistic Design and Maintenance for Flood Protection. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3397-5_12
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DOI: https://doi.org/10.1007/978-1-4613-3397-5_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3399-9
Online ISBN: 978-1-4613-3397-5
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