Random vibration of structures by the finite element method

Author Type

Faculty

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

Computer Methods in Applied Mechanics and Engineering

Publication Status

Version of Record

Abstract

This paper is directed at two objectives: (1) to develop an improved finite element formulation of beams subjected to random loading; (2) to provide a benchmark example which can also be solved exactly. Systematic formulation of element and global spectral matrices of both the excitation and response are presented. Two approximations for evaluation of the element spectral densities of excitation are compared with the result of direct numerical calculation. It is shown that, in the benchmark example, the finite element and exact solutions are in perfect agreement. © 1993.

First Page

359

Last Page

373

DOI

10.1016/0045-7825(93)90063-4

Publication Date

1-1-1993

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