Abstract
Responses of elastic rods and shear beams with random field properties and also possibly under random field forcing are studied for random fields with linear, Matérn, Cauchy, and Dagum covariances. The latter two allow decoupling of the fractal dimension and Hurst effect. The authors find second order characteristics of the beam displacement under clamped–free boundary conditions. Overall, for a given variance, the variance of the output is strongest for linear, then Matérn, then Cauchy, and, finally, Dagum forcing. This is interesting and counterituitive because the Dagum and Cauchy models grasp the fractal characteristics and, additionally, the Hurst effect. In a number of (simpler) cases the results may be obtained in explicit analytical forms, but as Cauchy and Dagum models are introduced, one has to resort to numerics.
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Acknowledgments
L.S. was partially supported by the National Science Foundation of China under Grant No. 11171232 and the Beijing Municipal Education Commission under Grant No. KZ201310028030. M.O.-S. was supported by the NSF under Grant No. CMMI-1030940, and E.P. by Proyecto Fondecyt Regular Number 1130647.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 7 • July 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Oct 12, 2013
Accepted: Nov 17, 2014
Published online: Apr 13, 2015
Published in print: Jul 1, 2015
Discussion open until: Sep 13, 2015
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