Probabilistic finite elements for nonlinear structural dynamics

Wing Kam Liu*, Ted Belytschko, A. Mani

*Corresponding author for this work

Research output: Contribution to journalArticle

310 Scopus citations


A finite element method applicable to truss structures for the determination of the probabilistic distribution of the dynamic response has been developed. Several solutions have been obtained for the mean and variance of displacements and stresses of a truss structure; nonlinearities due to material and geometrical effects have also been included. In addition, to test this method, Monte Carlo simulations have been used and a new method with implicit and/or explicit time integration and Hermite-Gauss quadrature has also been developed and used. All these methodologies have been implemented into a pilot computer code with two-dimensional bar elements.

Original languageEnglish (US)
Pages (from-to)61-81
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Issue number1
StatePublished - May 1986

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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