Bernoulli–Euler 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


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.

Original languageEnglish (US)
Pages (from-to)1595-1626
Number of pages32
JournalArchive of Applied Mechanics
Issue number9-11
StatePublished - Oct 24 2014



  • Elastic beam
  • Fractal
  • Hurst effect
  • Random field
  • Random loading
  • Random property

ASJC Scopus subject areas

  • Mechanical Engineering

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