Exact solutions for stochastic Bernoulli–Euler beams under deterministic loading

Nachman Malkiel, Oded Rabinovitch, Isaac Elishakoff

Research output: Contribution to journalArticlepeer-review

Abstract

This study deals with two general solutions for a simply supported linear elastic Bernoulli–Euler beam with a stochastic bending flexibility, subjected to a deterministic loading. Two model problems are considered. The first problem is associated with a trapezoidally distributed load, whereas the second problem treats a sinusoidally distributed load. The importance of the solution for the trapezoidal load lies in its practicality. The derivation of stochastic characteristics for random beams under a sinusoidal load is useful due to the expandability to generally distributed loads by a Fourier sine series expansion. Numerical results are reported for various cases illustrating the effect of stochasticity of the beam’s properties on its flexural response.

Original languageEnglish
Pages (from-to)2201-2224
Number of pages24
JournalActa Mechanica
Volume232
Issue number6
DOIs
StatePublished - Jun 2021

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering

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