Vibration Confinement via Optimal Eigenvector Assignment and Piezoelectric Networks

[+] Author and Article Information
J. Tang

Department of Mechanical Engineering, The University of Connecticut, Storrs, CT 06269e-mail: jtang@engr.uconn.edu

K. W. Wang

Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802e-mail: kwwang@psu.edu

J. Vib. Acoust 126(1), 27-36 (Feb 26, 2004) (10 pages) doi:10.1115/1.1597213 History: Received September 01, 2002; Revised April 01, 2003; Online February 26, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Frequency responses of the first beam. Solid line: original structure without shunt circuits; Dashed line: mechanical structure integrated with passive shunt circuits.
Grahic Jump Location
Energy level comparison (logarithm scale)
Grahic Jump Location
Simultaneous optimization/optimal eigenvector assignment procedure for active-passive hybrid system design
Grahic Jump Location
Shaping function for used traditional eigenstructure assignment, μ=6, 3σ=2
Grahic Jump Location
Modal energy ratio ϕiac*ϕlacia*ϕia corresponding to different eigenstructure assignment approaches
Grahic Jump Location
Beam time-responses (a) first beam; (b) second beam; (c) third beam; (d) fourth beam top sub-plot: optimal eigenvector assignment, sequential approach; second sub-plot: traditional assignment method, shaping parameters μ=6, 3σ=2; third sub-plot: traditional assignment method, shaping parameters μ=8, 3σ=4; bottom sub-plot: optimal eigenvector assignment, concurrent approach
Grahic Jump Location
Illustrative system consisting of mechanical structure, piezoelectric shunt circuits, and active control voltage inputs. The disturbance acts on the 8-th beam, and the vibration of the first four beams needs to be suppressed.



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