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RESEARCH PAPERS

On Damping Mechanisms in Beams

[+] Author and Article Information
H. T. Banks

Center for Control Sciences, Division of Applied Mathematics, Brown University, Providence, RI 02912

D. J. Inman

Mechanical Systems Laboratory, Department of Mechanical and Aerospace Engineering, State University at New York at Buffalo, Buffalo, NY 14260

J. Appl. Mech 58(3), 716-723 (Sep 01, 1991) (8 pages) doi:10.1115/1.2897253 History: Received July 24, 1989; Revised March 14, 1990; Online March 31, 2008

Abstract

A partial differential equation model of a cantilevered beam with a tip mass at its free end is used to study damping in a composite. Four separate damping mechanisms consisting of air damping, strain rate damping, spatial hysteresis, and time hysteresis are considered experimentally. Dynamic tests were performed to produce time histories. The time history data is then used along with an approximate model to form a sequence of least squares problems. The solution of the least squares problem yields the estimated damping coefficients. The resulting experimentally determined analytical model is compared with the time histories via numerical simulation of the dynamic response. The procedure suggested here is compared with a standard modal damping ratio model commonly used in experimental modal analysis.

Copyright © 1991 by The American Society of Mechanical Engineers
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