Random vibration of a point-driven two-span beam on an elastic foundation

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

Archive of Applied Mechanics

Publication Status

Version of Record

Abstract

In this study, we investigate the random vibrations of a point-driven two-span beam of length 2L on a linear elastic foundation. The normal mode approach is utilized. The natural frequencies are falling in two groups: the first group corresponds to the beam of length L that is simply supported at its ends; the second group is associated with the beam of length L that is simply supported at one end and clamped at the other end. The mean-square velocity of the beam is written in terms of auto- and cross-correlations within groups, as well as in terms of cross-correlations between the modes of two groups. In addition, the two-span beam experiences the clustering of frequencies with increased modal density. The effect of cross-correlations between the modal responses corresponding to closely spaced natural frequencies turns out to be extremely significant. © 2013 Springer-Verlag Berlin Heidelberg.

First Page

355

Last Page

374

DOI

10.1007/s00419-013-0804-z

Publication Date

3-1-2014

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