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TECHNICAL PAPERS

Energetics and Stability of Translating Media with an Arbitrarily Varying Length

[+] Author and Article Information
W. D. Zhu

Department of Mechanical Engineering, University of Maryland, Baltimore County, Baltimore, MD 21250

J. Ni

Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030

J. Vib. Acoust 122(3), 295-304 (Jun 01, 1999) (10 pages) doi:10.1115/1.1303003 History: Received June 01, 1999
Copyright © 2000 by ASME
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References

Figures

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Schematic of a horizontally (a) or vertically (b) translating beam with an attached spring-inertia-damper at x=l(t)
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Schematic of a vertically translating string with an attached spring-mass-damper at x=l(t)
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The nondimensionalized dynamic response of a flexible arm during uniformly accelerated extension (–) and retraction ([[dashed_line]]). The tip deflection and velocity are shown in (a) and (b), respectively. The energy of vibration of the arm is shown in (c).
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The prescribed position (a), velocity (b), acceleration (c), and jerk (d) functions for a hoist cable in a high-rise, high-speed elevator
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The dynamic response of the hoist cable under motion profiles shown in Fig. 4 and initial conditions y(x,0)=0.1 sin(πx/180) and yt(x,0)=0. The displacement and velocity of a fixed point on the cable, located at x=l(t)−25, are shown in (a) and (b), respectively. The energy of vibration of the cable is shown in (c).

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