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BRIEF NOTES

A New Wave Technique for Free Vibration of a String With Time-Varying Length

[+] Author and Article Information
S.-Y. Lee

Department of Mechanical Engineering, Sogang University, Sinsudong, Mapoku, Seoul 121-742, Korea e-mail: sylee@sogang.ac.kr. Mem. ASME

M. Lee

Department of Mechanical Engineering, Sejong University, Kunjadong, Kwanjinku, Seoul 143-747, Korea.

J. Appl. Mech 69(1), 83-87 (Aug 08, 2001) (5 pages) doi:10.1115/1.1427337 History: Received August 29, 2000; Revised August 08, 2001
Copyright © 2002 by ASME
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References

Figures

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String with length varying at a constant velocity v
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Traveling wave pattern of the fundamental vibration mode over a period
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Free vibration energy when the length increases at v=0.1c/l0
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Free vibration energy when v=0.2c/l0; (a) increasing length, (b) decreasing length
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Free vibration energy when the length decreases at v=0.1c/l0
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Power flow by string tension at the moving boundary; (a) increasing length, (b) decreasing length
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String motion history during a period when v=0.2c/l0 for the initial displacement of the fundamental mode; (a) increasing length, (b) decreasing length
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Time-varying vibration periods of the fundamental mode when the string length changes at v=0.1c/l0

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