Lessons pertaining to the finite element method for stochastic problems, learned from simplest example

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Chaos Solitons and Fractals

Publication Status

Version of Record

Abstract

The simplest structure - uniform bar with stochastic modulus of elasticity, but other properties and the excitation being deterministic is studied in the view to extract some useful lessons for the finite element method in stochastic setting. Closed-form solutions as well as various approximations are derived for the probabilistic characteristics of the tip displacement. Improved perturbation method is confronted on one hand, with classical perturbation method, and, on the other, with polynomial chaos expansion in conjunction with the Galerkin's method.

First Page

1217

Last Page

1232

DOI

10.1016/S0960-0779(00)00091-6

Publication Date

1-1-2001

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