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Random vibration of a non-linear beam subjected to a moving load: A finite element method analysis

Random vibration of a non-linear beam subjected to a moving load: A finite element method analysis

Authors :
Toshio Yoshimura
T. Kamata
N. Ananthanarayana
Junichi Hino
Source :
Journal of Sound and Vibration. 122:317-329
Publication Year :
1988
Publisher :
Elsevier BV, 1988.

Abstract

This paper is concerned with the random vibration of non-linear beams with variable sectional areas subjected to a moving vehicle load. When the track on the beam is assumed to have such irregularities, the dynamic deflections of the beams as well as the moving vehicle vary in a random fashion. The irregularity of the beam in the forward direction of the vehicle is assumed to be a Gaussian random process, and is expressed by a first order linear differential equation with white noise excitation. The longitudinal and transverse deflections of the beam are formulated by using the Galerkin finite element method, and the time evolutions of the means and covariances of deflections of the beam as well as the vertical deflection of the vehicle are computed by using the linearization technique and the implicit direct integration method. Numerical results are presented to compute the dynamic deflections with the forward velocity of the vehicle as a parameter.

Details

ISSN :
0022460X
Volume :
122
Database :
OpenAIRE
Journal :
Journal of Sound and Vibration
Accession number :
edsair.doi...........7d33a1f6d749422f77e2da969727b50f
Full Text :
https://doi.org/10.1016/s0022-460x(88)80357-2