Elastic rods and shear beams with random field properties under random field loads: Fractal and Hurst effects

Lihua Shen, Martin Ostoja Starzewski, Emilio Porcu

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number04015004
Pages (from-to)4015002
Number of pages1
JournalJournal of Engineering Mechanics
Volume141
Issue number7
DOIs
StatePublished - Jul 1 2015

Keywords

  • Cauchy
  • Dagum
  • Fractal
  • Hurst effect
  • Matérn
  • Random field
  • Rod
  • Shear-beam

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Elastic rods and shear beams with random field properties under random field loads: Fractal and Hurst effects'. Together they form a unique fingerprint.

  • Cite this