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TECHNICAL BRIEFS

Closed-Form Exact Solution to H∞ Optimization of Dynamic Vibration Absorbers (Application to Different Transfer Functions and Damping Systems)

[+] Author and Article Information
Toshihiko Asami

Department of Mechanical Engineering, Himeji Institute of Technology, 2167 Shosha, Himeji, Hyogo 671-2201, Japan e-mail: asami@mech.eng.himeji-tech.ac.jp

Osamu Nishihara

Department of Systems Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan e-mail: nishihara@i.kyoto-u.ac.jp

J. Vib. Acoust 125(3), 398-405 (Jun 18, 2003) (8 pages) doi:10.1115/1.1569514 History: Received April 01, 2000; Revised November 01, 2002; Online June 18, 2003
Copyright © 2003 by ASME
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References

Figures

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Systems with viscous damped DVA (Voigt type DVA) (a) Force excitation system (b) Motion excitation system
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Systems with hysteretic damped DVA (a) Force excitation system (b) Motion excitation system
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Frequency response curves of the undamped primary system with a viscous damped absorber (graphical representation of transfer function No. 1) (a) General view of the curves (b) Close up of the curves near the points P and Q
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Comparison between exact and approximate solutions to the H optimization of the system with a viscous damped DVA (a) Transfer function No. 1 (b) Transfer function No. 4
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Comparison between exact and approximate solutions to the H optimization of the system with a hysteretic damped DVA (a) Transfer function No. 1 (b) Transfer function No. 4
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Absolute displacement response of the damped primary system with optimally tuned and damped DVA

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