Stochastic finite element methods provide predictions of the behavior of mechanical systems with randomly fluctuating material properties. Limited data is typically available for the characterization of these properties, introducing errors in their representation. In the present paper, the sensitivity of the response predictions with respect to the stochastic properties is analyzed, by means of the direct differentiation method (DDM). Explicit expressions for the dependence of certain statistics of the response on the statistics of the material property are obtained. The response sensitivities are then used to estimate the error in the response predictions, caused by the error in the representation of the stochastic property. Numerical results for a simple Bernoulli beam are presented.
A Method for the Validation of Predictive Computations Using a Stochastic Approach
Contributed by the OOAE Division for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received December 2, 2002; final revision, August 1, 2003. Associate Editor: B. Leira.
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Pellissetti, M., and Ghanem, R. (September 20, 2004). "A Method for the Validation of Predictive Computations Using a Stochastic Approach ." ASME. J. Offshore Mech. Arct. Eng. August 2004; 126(3): 227–234. https://doi.org/10.1115/1.1782915
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