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RESEARCH PAPERS: Vibration and Sound

Dynamic Stability and Response of a Beam Subject to a Deflection Dependent Moving Load

[+] Author and Article Information
R. Katz, A. G. Ulsoy, R. A. Scott

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109-2125

C. W. Lee

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109-2125; Korea Advanced Institute of Science and Technology

J. Vib., Acoust., Stress, and Reliab 109(4), 361-365 (Oct 01, 1987) (5 pages) doi:10.1115/1.3269454 History: Received July 10, 1987; Online November 23, 2009

Abstract

The dynamic stability and transverse vibration of a beam subject to a deflection dependent moving load is considered. The deflection dependent moving load is motivated by the cutting forces in machining operations. Galerkin’s method is used to obtain a set of ordinary differential equations with periodic coefficients. It is found that parametric instability can be expected for a continuous sequence of moving loads. The response under the moving deflection dependent load is also calculated.

Copyright © 1987 by ASME
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