TY - JOUR
T1 - Bernoulli–Euler beams with random field properties under random field loads
T2 - fractal and Hurst effects
AU - Shen, Lihua
AU - Ostoja-Starzewski, Martin
AU - Porcu, Emilio
N1 - Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.
PY - 2014/10/24
Y1 - 2014/10/24
N2 - Responses of Bernoulli–Euler 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. 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.
AB - Responses of Bernoulli–Euler 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. 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.
KW - Elastic beam
KW - Fractal
KW - Hurst effect
KW - Random field
KW - Random loading
KW - Random property
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U2 - 10.1007/s00419-014-0904-4
DO - 10.1007/s00419-014-0904-4
M3 - Article
AN - SCOPUS:84919326922
SN - 0939-1533
VL - 84
SP - 1595
EP - 1626
JO - Archive of Applied Mechanics
JF - Archive of Applied Mechanics
IS - 9-11
ER -