The purpose of this two-part work is to apply active mode localization to distributed parameter systems where the number of control sensors and actuators is a limiting factor. In this part, the theoretical development portion of the study, two approaches are presented that shape system eigenvectors using feedback control, generating localization to produce areas of isolation with relatively low vibration amplitudes compared to other parts of the structure. The first approach uniformly shapes all eigenvectors of a vibrating system, but can require many actuators to do so. The second more general approach uses singular value decomposition (SVD) to shape selected eigenvectors of a system, localizing the response of these modes to any disturbance, and requiring few actuators. [S0739-3717(00)70202-9]
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April 2000
Technical Papers
Active Mode Localization in Distributed Parameter Systems with Consideration of Limited Actuator Placement, Part 1: Theory
Franz J. Shelley,
Franz J. Shelley
Vibration and Control Laboratory, Mechanical Engineering Department, University of Pittsburgh, Pittsburgh, PA 15261
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William W. Clark
William W. Clark
Vibration and Control Laboratory, Mechanical Engineering Department, University of Pittsburgh, Pittsburgh, PA 15261
Search for other works by this author on:
Franz J. Shelley
Vibration and Control Laboratory, Mechanical Engineering Department, University of Pittsburgh, Pittsburgh, PA 15261
William W. Clark
Vibration and Control Laboratory, Mechanical Engineering Department, University of Pittsburgh, Pittsburgh, PA 15261
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 1995. Associate Technical Editor: C. Pierre.
J. Vib. Acoust. Apr 2000, 122(2): 160-164 (5 pages)
Published Online: July 1, 1995
Article history
Received:
July 1, 1995
Citation
Shelley, F. J., and Clark, W. W. (July 1, 1995). "Active Mode Localization in Distributed Parameter Systems with Consideration of Limited Actuator Placement, Part 1: Theory ." ASME. J. Vib. Acoust. April 2000; 122(2): 160–164. https://doi.org/10.1115/1.568453
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