Vibration Control of Beams by Beam‐Type Dynamic Vibration Absorbers
Publication: Journal of Engineering Mechanics
Volume 118, Issue 2
Abstract
Dynamic vibration absorbers with one degree of freedom are generally applied to the passive control of beam vibration. These absorbers are useful to control a single mode of vibration under harmonic excitation. In this paper, a beam‐type dynamic vibration absorber is presented and is composed of a beam (dynamic absorbing beam) under the same boundary conditions as the main beam and uniformly distributed, connecting spring and damper between the main beam and absorbing beam. Equations of motion of the system in modal coordinates of the main beam become equal to those of the two‐degrees‐of‐freedom system with two masses and three springs. Formulas for optimum design of the beam‐type dynamic vibration absorber are proposed by using the optimum design method of a dynamic absorber in two degrees of freedom, obtained by Den Hartog's method. Numerical calculations indicated the response of the main beam without damping is reduced with the exception of the response of the second mode, and the one with damping is remarkably reduced.
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References
1.
Den Hartog, J. P. (1956). Mechanical vibrations. 4th Ed., McGraw‐Hill, New York, N.Y.
2.
Douglas, B. E., and Yang, J. C. S. (1978). “Transverse compressional damping in the vibratory response of elastic‐viscoelastic‐elastic beams.” AIAA J., 16(9), 925–930.
3.
Mead, D. J., and Markus, S. (1969). “The forced vibration of a three‐layer, damped sandwich beam with arbitrary boundary conditions.” J. Sound and Vibration, 10(2), 163–175.
4.
Sylwan, O. (1987). “Shear and compressional damping effects of constrained layered beams.” J. Sound and Vibration, 118(1), 35–45.
5.
Yan, M. J., and Dowell, E. H. (1972). “Governing equations for vibrating constrained‐layer damping sandwich plates and beams.” J. Appl. Mach., 39, 1041–1046.
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Published In
Journal of Engineering Mechanics
Volume 118 • Issue 2 • February 1992
Pages: 248 - 258
Copyright
Copyright © 1992 ASCE.
History
Published online: Feb 1, 1992
Published in print: Feb 1992
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