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| Structural first failure time under non-gaussian stochastic behavior |
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| DOI：10.7511/jslx20084092 |
| KeyWord:first failure time,non-Gaussian structural response,up-crossing rate,hermite moment models,mean clump size,initial condition |
| HE Jun YAN Zai-chun |
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| Abstract: |
| The main focus of this paper is the development of an analytical moment-based procedure for calculating structural first failure time probabilities under non-Gaussian stochastic behavior.In the procedure,Hermite moment models based on structural response moments(skewness,kurtosis,etc.) are used to map a non-Gaussian structural response into a standard Gaussian process,and then the mean up-crossing rate of the original response process for a critical level is estimated from the mapped standard Gaussian process.Through introducing the mean clump size and the probability of instantaneous failure of the original structural response process for a critical level,the procedure can account for effects of clumping and initial conditions in the problem of structural first failure time.The procedure,therefore,can be used to estimate structural first failure time probabilities under non-Gaussian stochastic behavior.An analysis of a linear SDOF system excited by a quadratic forcing function demonstrates how the procedure is used for the structures considered,Moreover,comparisons between the results from the procedure and those from the Monte Carlo simulation method are performed in order to show the accuracy and effectiveness of the procedure. |
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