Error in the finite difference based probabilistic dynamic analysis: Analytical evaluation

Author Type

Faculty

Co-Author Type 1

Outside Researcher

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

Journal of Sound and Vibration

Publication Status

Version of Record

Abstract

The error in the finite difference based probabilistic dynamic analysis is investigated. Some eigenvalue problems associated with bars in the stochastic setting are also investigated. The stochastic variables will be treated as continuous random variables. With the finite difference method (FDM) and finite element method (FEM), approximations of different kind are used to reduce the continuous system to the discrete one and analyze the simpler system. The results show that in the evaluation of reliability of bars in vibrations, second-order central differences analysis is preferable.

First Page

1195

Last Page

1206

DOI

10.1016/j.jsv.2004.03.066

Publication Date

3-22-2005

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