Response of Elastic Continuum Carrying Multiple Moving Oscillators
- 1 March 2001
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 127 (3), 260-265
- https://doi.org/10.1061/(asce)0733-9399(2001)127:3(260)
Abstract
The problem of calculating the dynamic response of a one-dimensional distributed parameter system carrying multiple moving oscillators is examined. A solution procedure is suggested that reduces the problem to the integration of a system of linear ordinary differential equations governing the time-dependent coefficients of the series expansion of the response in terms of the eigenfunctions of the continuous structure. The program implementation of the solution procedure is discussed and numerical results are presented. Numerical illustrations clearly demonstrate that the incorporation of even one additional oscillator into the model makes the dynamics of the system vibration considerably more complicated.Keywords
This publication has 25 references indexed in Scilit:
- THE RESONANT VIBRATION FOR A SIMPLY SUPPORTED GIRDER BRIDGE UNDER HIGH-SPEED TRAINSJournal of Sound and Vibration, 1999
- AN EFFICIENT ALGORITHM FOR DYNAMIC ANALYSIS OF BRIDGES UNDER MOVING VEHICLES USING A COUPLED MODAL AND PHYSICAL COMPONENTS APPROACHJournal of Sound and Vibration, 1998
- Modelling of railway bridge-vehicle interaction on high speed tracksComputers & Structures, 1997
- Critical speeds and the response of a tensioned beam on an elastic foundation to repetitive moving loadsInternational Journal of Mechanical Sciences, 1995
- An Integrated Approach Toward the Dynamic Analysis of High-Speed Spindles: Part 2—Dynamics Under Moving End LoadJournal of Vibration and Acoustics, 1994
- Simulation of Dynamic Load for BridgesJournal of Structural Engineering, 1991
- Dynamic Interaction of Railway Systems with Large BridgesVehicle System Dynamics, 1989
- Vibration of a Beam under a Random Stream of Moving Forces*Journal of Structural Mechanics, 1984
- The Stability of a Spinning Elastic Disk With a Transverse Load SystemJournal of Applied Mechanics, 1976
- VI.On the vibration of beams under the action of moving loadsThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1929