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First Passage Problem: A Probabilistic Dynamic Analysis for Hot Aerospace Components

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Abstract

Structures subjected to non-white random excitations with uncertain system parameters affected by surrounding environments are studied. Methods are developed to determine the statistics of dynamic responses such as time-varying mean, standard deviation and autocorrelation functions. Moreover, the first-passage problems with deterministic and stationary/nonstationary random barriers are evaluated. Time- varying (joint) mean crossing rate and the probability density function of the first- passage time for various random barriers are derived.

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© 1991 Springer-Verlag Berlin Heidelberg

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Shiao, M.C. (1991). First Passage Problem: A Probabilistic Dynamic Analysis for Hot Aerospace Components. In: Elishakoff, I., Lin, Y.K. (eds) Stochastic Structural Dynamics 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84534-5_13

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  • DOI: https://doi.org/10.1007/978-3-642-84534-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84536-9

  • Online ISBN: 978-3-642-84534-5

  • eBook Packages: Springer Book Archive

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