Transverse Vibration of an Undamped Elastically Connected Double-Beam System with Arbitrary Boundary Conditions
Publication: Journal of Engineering Mechanics
Volume 142, Issue 2
Abstract
This paper presents a semianalytical method to analyze the natural frequencies and mode shapes of an undamped double-beam system, which is composed of two beams joined by a uniformly distributed connecting elastic layer, with arbitrary beam mass, beam flexural rigidity, and arbitrary boundary conditions. The classical modal expansion method is further applied to determine the forced vibration responses in the double-beam system based on the natural frequencies and mode shapes obtained from the free vibration analysis. A specific orthogonality condition for the double-beam system is derived, and then applied to decouple and simplify the motion differential equations. Numerical examples are presented and discussed in detail to verify and illustrate the efficiency of the proposed semianalytical method that can further help characterize the dynamic responses and design work for double-beam structures.
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Acknowledgments
This work is sponsored by the National Science Foundation (NSF) under Grant No. CMMI-0800417. The support of the NSF is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 2 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jan 27, 2015
Accepted: May 28, 2015
Published online: Jul 7, 2015
Discussion open until: Dec 7, 2015
Published in print: Feb 1, 2016
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