TECHNICAL PAPERS
Aug 1, 1991
Statistically Equivalent Solutions of Stochastic Mechanics Problems
Publication: Journal of Engineering Mechanics
Volume 117, Issue 8
Abstract
Statistically equivalent solutions are developed for two types of stochastic problems: Nonlinear mappings and equilibrium conditions involving a random vector X. The approximate response depends on a specified function h with arguments the vector of random parameters X and a set of unspecified parameters θ. These parameters can be determined from the condition that the difference between U and is minimized in some sense. Several objective functions are considered for finding θ and corresponding approximation of U. It is shown by examples that the accuracy of the approximating response significantly depends on the functional form of h, particularly when solving equilibrium problems.
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References
1.
Johnson, N. L., and Kotz, S. (1970). Continuous univariate distribution—1. Distributions in statistics. John Wiley & Sons, New York, N.Y.
2.
Johnson, N. L., and Kotz, S. (1972). Distributions in statistics: Continuous multivariate distributions. John Wiley & Sons, New York, N.Y.
3.
Vanmarcke, E., Shinozuka, M., Nakagiri, S., Schueller, G. I., and Grigoriu, M. (1986). “Random fields and stochastic finite elements.” Struct. Saf., 3(3)(4).
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Copyright © 1991 ASCE.
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Published online: Aug 1, 1991
Published in print: Aug 1991
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Mircea Grigoriu
Prof. of Struct. Engrg., Cornell Univ., Ithaca, NY 14853
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