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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Grahic Jump Location
Schematic of a horizontally (a) or vertically (b) translating beam with an attached spring-inertia-damper at x=l(t)
Grahic Jump Location
Schematic of a vertically translating string with an attached spring-mass-damper at x=l(t)
Grahic Jump Location
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).
Grahic Jump Location
The prescribed position (a), velocity (b), acceleration (c), and jerk (d) functions for a hoist cable in a high-rise, high-speed elevator
Grahic Jump Location
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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