COMPUTATIONAL METHOD FOR THE DETERMINATION OF THE PROBABILISTIC DISTRIBUTION OF THE DYNAMIC RESPONSE OF STRUCTURES.

Wing K Liu*, T. Belytschko, A. Mani

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

25 Scopus citations

Abstract

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 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. The extension of this program to plate elements will involve primarily the development of element methodologies. The goal of this paper is to provide techniques which are cost-effective and enable the engineer to evaluate the effect of uncertainties in complex finite element models. (Edited author abstract. )

Original languageEnglish (US)
Pages (from-to)243-248
Number of pages6
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Volume98-5
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Mechanical Engineering

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