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TECHNICAL BRIEFS

A Comment on Boundary Conditions in the Modeling of Beams with Constrained Layer Damping Treatments

[+] Author and Article Information
Peter Y. H. Huang, Per G. Reinhall, I. Y. Shen

Mechanical Engineering Department, University of Washington, Seattle, Washington 98195-2600

J. Vib. Acoust 123(2), 280-284 (Sep 01, 2000) (5 pages) doi:10.1115/1.1349887 History: Received January 01, 2000; Revised September 01, 2000
Copyright © 2001 by ASME
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References

Mead,  D. J., and Markus,  S., 1969, “The Forced Vibration of a Three-Layer Damped Sandwich Beam with Arbitrary Boundary Conditions,” J. Sound Vib., 10, No. 2, pp. 163–179.
Markus,  S., Oravsky,  V., and Simkova,  O., 1974, “Damping Properties of Sandwich Beams with Local Shearing Prevention,” Acustica, 31, pp. 132–138.
Rao,  D. K., 1978, “Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions,” J. Mech. Eng. Sci., 20, No. 5, pp. 271–282.
Lifshitz,  J. M., and Leibowitz,  M., 1987, “Optimal Sandwich Beam Design for Maximum Viscoelastic Damping,” Int. J. Solids Struct., 23, No. 7, pp. 1027–1034.
Trompette,  P., Boilot,  D., and Ravanel,  M. A, 1978, “Effect of Boundary Conditions on the Vibration of a Viscoelastically Damped Cantilever Beam,” J. Sound Vib., 60, No. 3, pp. 345–350.
Shen,  I. Y., 1994, “Hybrid Damping Through Intelligent Constrained Layer Treatments,” ASME J. Vibr. Acoust., 116, pp. 341–349.
Huang, P. Y., Reinhall, P. G., and Shen, I. Y., 1999, “A Study of Constrained Layer Damping Models under Clamped Boundary Conditions,” Proceedings of the ASME International Mechanical Engineering Congress and Exposition.

Figures

Grahic Jump Location
Displacement variable fields of the Mead-Markus model
Grahic Jump Location
(a) Predicted and experimental frequency response of a cantilevered beam (b) Error produced by a Mead-Markus model as compared to the modified theory for a cantilevered beam
Grahic Jump Location
(a) Frequency response of a clamped A - clamped A beam. Clamped B boundary conditions were required for the original Mead-Markus formulation. (b) Error produced by a Mead-Markus model as compared to the modified theory for a clamped A - clamped A beam
Grahic Jump Location
(a) Frequency response of a pinned A - pinned A beam. Pinned B boundary conditions were required for the original Mead-Markus formulation. (b) Error produced by a Mead-Markus model as compared to the modified theory for a pinned A - pinned A beam

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