On Random Field Discretization in Stochastic Finite Elements
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Several traditional methods for discretizing random fields in stochastic mechanics applications are considered; they are the midpoint method, the interpolation method, and the local averaging method. A simple and computationally convenient criterion for estimating the accuracy of these discretization methods is developed. Also, the Volterra series representation of nonlinear input/output relationships is utilized to assess the effect of the random field discretization methods on the response variability of stochastic mechanics problems. The theoretical developments are elucidated by a numerical example involving a beam problem.
2005 ◽
Vol 293-294
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pp. 703-710
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1977 ◽
Vol 25
(3)
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pp. 355-360
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1963 ◽
Vol 81
(6)
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pp. 330-335
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1977 ◽
Vol 25
(9)
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pp. 729-734
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2013 ◽
Vol 62
(2)
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pp. 115-123
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1986 ◽
Vol 34
(12)
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pp. 1308-1317
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2003 ◽
Vol 51
(6)
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pp. 1532-1537
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