TY - JOUR
T1 - Elastic rods and shear 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:
© 2015 American Society of Civil Engineers.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - 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.
AB - 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.
KW - Cauchy
KW - Dagum
KW - Fractal
KW - Hurst effect
KW - Matérn
KW - Random field
KW - Rod
KW - Shear-beam
UR - http://www.scopus.com/inward/record.url?scp=84931081691&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84931081691&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)EM.1943-7889.0000906
DO - 10.1061/(ASCE)EM.1943-7889.0000906
M3 - Article
AN - SCOPUS:84931081691
SN - 0733-9399
VL - 141
SP - 4015002
JO - Journal of Engineering Mechanics
JF - Journal of Engineering Mechanics
IS - 7
M1 - 04015004
ER -