Stabilization of a Translating Tensioned Beam Through a Pointwise Control Force
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Published:1998-09-09
Issue:2
Volume:122
Page:322-331
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ISSN:0022-0434
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Container-title:Journal of Dynamic Systems, Measurement, and Control
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language:en
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Short-container-title:
Author:
Zhu W. D.1, Guo B. Z.2, Mote, C. D.3
Affiliation:
1. University of Maryland Baltimore County, Baltimore, MD 21250 2. Beijing Institute of Technology, Beijing, China 3. (Glenn L. Martin Institute Professor of Engineering) University of Maryland, College Park, MD 20742
Abstract
A spectral analysis determining asymptotically the distribution of eigenvalues of a constrained, translating, tensioned beam in closed form is the subject of this paper. The constraint is modeled by a spring-mass-dashpot subsystem that is located at any position within the span of the beam. It can represent a feedback controller with a collocated sensor and actuator. The necessary and sufficient condition that ensures a uniform stability margin for all the modes of vibration is determined. Influences of system parameters on the distribution of eigenvalues are identified. The analytical predictions are validated by numerical analyses. The constraint location maximizing the stability margin of the distributed model is predicted through a combined analytical and numerical approach. The implications and utility of the results are illustrated. The methodology developed can be extended to predict stability margins and optimize control parameters for controlled translating beams with other types of boundary conditions and controller structures. [S0022-0434(00)00702-4]
Publisher
ASME International
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference17 articles.
1. Yang, B., and Mote, Jr., C. D., 1991, “Active Vibration Control of the Axially Moving String in the S Domain,” ASME J. Appl. Mech., 58, pp. 189–196. 2. Yang, B., and Mote, Jr., C. D., 1991, “Frequency-Domain Vibration Control of Distributed Gyroscopic Systems,” ASME J. Dyn. Syst., Meas., Control, 113, pp. 18–25. 3. Rahn, C. D., 1992, “Parametric Control of Vibration in Flexible and Axially-Moving Material Systems,” Ph.D. dissertation, University of California at Berkeley. 4. Rahn, C. D., and Mote, Jr., C. D., 1994, “Parametric Control of Flexible Systems,” ASME J. Vibr. Acoust., 116, pp. 379–385. 5. Lee, S. Y., and Mote, Jr., C. D., 1996, “Vibration Control of an Axially Moving String by Boundary Control,” ASME J. Dyn. Syst., Meas., Control, 118, pp. 66–74.
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1. Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions;Studies in Applied Mathematics;2022-07-28 2. Primary resonance of traveling viscoelastic beam under internal resonance;Applied Mathematics and Mechanics;2016-11-30 3. References††The references are generally arranged alphabetically. However, for single-, double-, and multiple-author papers with the same first author, they are listed as follows:(i)the single-author papers first: e.g. SMITH, A. 1990 before SMITH, A. 1991;(ii)the double-author papers next, according to the second author’s name: e.g. SMITH, A. & BROWN, G. 1991 before SMITH, A. & GREEN, S. 1979;(iii)multiple-author papers, which will be cited in the text as, e.g. Smith et al. (1979), are listed last, strictly chronologically.§§All MERL Reports, e.g. Païdoussis & Denise (1970) are available on-line via: www.digital.library.mcgill.ca/pse/;Fluid-Structure Interactions;2016 4. Cylinders in Axial Flow I;Fluid-Structure Interactions;2016 5. Active H∞ control of the vibration of an axially moving cantilever beam by magnetic force;Mechanical Systems and Signal Processing;2011-11
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