Estimation of the probability of failure of mechanical systems under random loads is computationally expensive, especially for very reliable systems with low probabilities of failure. Importance Sampling can be an efficient tool for static problems if a proper sampling distribution is selected. This paper presents a methodology to apply Importance Sampling to dynamic systems in which both the load and response are stochastic processes. The method is applicable to problems for which the input loads are stationary and Gaussian and are represented by power spectral density functions. Shinozuka's method is used to generate random time histories of excitation. The method is demonstrated on a linear quarter car model. This approach is more efficient than standard Monte Carlo simulation by several orders of magnitude.
Probability of Failure of Dynamic Systems by Importance Sampling
Sae Int. J. Mater. Manf
Sae International Journal of Materials and Manufacturing
SAE 2013 World Congress & Exhibition ; 2013
Sae International Journal of Materials and Manufacturing ; 6 , 3 ; 411-415
08.04.2013
5 pages
Aufsatz (Konferenz)
Englisch
Probability of Failure of Dynamic Systems by Importance Sampling
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