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Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects

Lookup NU author(s): Professor Emilio Porcu

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Abstract

Responses of Bernoulli--Euler beams with random field properties and also possibly under random field forcing are studied for random fields with linear, Matern, Cauchy, and Dagum covariances. The latter two allow decoupling of the fractal dimension and Hurst effect. We find second-order characteristics of the beam displacement under various boundary conditions. In a number of cases, the results may be obtained in explicit analytical (albeit lengthy) forms, but as Cauchy and Dagum models are being introduced, one has to resort to numerics.

Publication metadata

Author(s): Shen L, Ostoja-Starzewski M, Porcu E

Publication type: Article

Publication status: Published

Journal: Archive of Applied Mechanics

Year: 2014

Volume: 84

Issue: 9

Pages: 1595--1626

Print publication date: 01/10/2014

Online publication date: 12/08/2014

Acceptance date: 21/07/2014

ISSN (print): 0939-1533

ISSN (electronic): 1432-0681

Publisher: Springer

URL: https://doi.org/10.1007/s00419-014-0904-4

DOI: 10.1007/s00419-014-0904-4

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