Vibrations and Power Flows in a Coupled Beam System

[+] Author and Article Information
Wen L. Li1

Department of Mechanical Engineering, Mississippi State University, Mississippi State, Mississippi 39762wli@wayne.edu

Murilo W. Bonilha, Jie Xiao

 United Technologies Research Center, 411 Silver Lane, East Hartford, Connecticut 06108


Current address: Department of Mechanical Engineering, Wayne State University, 5050 Anthony Wayne Dr., Detroit, MI 48202.

J. Vib. Acoust 129(5), 616-622 (Jul 03, 2007) (7 pages) doi:10.1115/1.2775518 History: Received January 17, 2005; Revised July 03, 2007

Vibrations of and power flow between coupled beams have been the subject of many investigations, and various techniques have been developed over the years. However, most of the existing methods will require a certain level of modifications or adaptations to account for the variations in the coupling and∕or boundary conditions. In this study, a general analytical method is developed for predicting the vibrations of and power flow between two-coupled beams. The coupling between the beams is generically represented by two (translational and rotational) springs of arbitrary stiffnesses. Thus, many rigid and nonrigid connectors of practical interest can be directly taken into account. In addition, because the beams are elastically restrained at each end, the current method can be universally applied to different boundary conditions by simply varying the stiffnesses of the boundary springs. Numerical results are presented to show the excellent accuracy of the proposed approach.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Two beams coupled together via a set of springs

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Figure 2

Two rigidly coupled beams

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Figure 3

Two beams elastically coupled together

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Figure 4

Vibrations at both ends of the coupling spring: —, top; ------, bottom

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Figure 5

Power transmitted through the coupling springs: —, both springs; ------, only rotational spring

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Figure 6

Power balance on Beam A: —, input power—, dissipated in Beam A; ------, transmitted to B



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