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.
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August 2004
Technical Papers
A Method for the Validation of Predictive Computations Using a Stochastic Approach
Manuel Pellissetti, Postdoctoral Fellow,
Manuel Pellissetti, Postdoctoral Fellow
Institut fu¨r Mechanik, Universita¨t Innsbruck, Technikerstrasse 13, 6020 Innsbruck, Austria
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Roger Ghanem, Professor
Roger Ghanem, Professor
The Johns Hopkins University, Department of Civil Engineering, 3400 N. Charles St., Baltimore, Maryland 21218, USA
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Manuel Pellissetti, Postdoctoral Fellow
Institut fu¨r Mechanik, Universita¨t Innsbruck, Technikerstrasse 13, 6020 Innsbruck, Austria
Roger Ghanem, Professor
The Johns Hopkins University, Department of Civil Engineering, 3400 N. Charles St., Baltimore, Maryland 21218, USA
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.
J. Offshore Mech. Arct. Eng. Aug 2004, 126(3): 227-234 (8 pages)
Published Online: September 20, 2004
Article history
Received:
December 2, 2002
Revised:
August 1, 2003
Online:
September 20, 2004
Citation
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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