Analytical Solutions for Simply Supported Viscously Damped Double-Beam System under Moving Harmonic Loads
Publication: Journal of Engineering Mechanics
Volume 141, Issue 7
Abstract
In this paper, the dynamic response of a simply supported viscously damped double-beam system under moving harmonic loads is investigated. The double-beam system consists of two elastic homogeneous isotropic beams, which are identical, parallel, and connected continuously by a layer of elastic springs provided with viscous damping. Two coupled governing equations describing the vibration of those two beams are decoupled by a simple change of variables, so that the analytical solutions for the dynamic deflections of both beams can be given. Numerical examples are employed to investigate the effects of moving speed and frequency of load, as well as the damping and the elasticity of the layer, on the dynamic responses of the beams. The deflections for the double-beam system are also compared to these of a single-beam system.
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Acknowledgments
This research is supported by the National Natural Science Foundation of China (Grant No. 51308191), National Key Basic Research Program of China (Grant No. 2015CB057901), the Public Service Sector R&D Project of Ministry of Water Resource of China (Grant No. 201501035-03), and Fundamental Research Funds for the Central Universities (Grant No. 2014B06814), the 111 Project (Grant No. B13024), and the foundation of Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University (Grant No. 2014B04914). The paper has benefited from the thorough reviews of two reviewers to whom we are most grateful.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 7 • July 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jun 13, 2014
Accepted: Nov 3, 2014
Published online: Apr 16, 2015
Published in print: Jul 1, 2015
Discussion open until: Sep 16, 2015
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