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

S.-Y. Lee; M. Lee

doi:10.1115/1.1427337

Journal of Applied Mechanics | Volume 69 | Issue 1 | BRIEF NOTES

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BRIEF NOTES

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

S.-Y. Lee, Associate Professor and M. Lee, Assoc. Mem. ASME, Associate Professor

[+] 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

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Figures

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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Time-varying vibration periods of the fundamental mode when the string length changes at v=0.1c/l₀

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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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Power flow by string tension at the moving boundary; (a) increasing length, (b) decreasing length

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Free vibration energy when the length increases at v=0.1c/l₀

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Free vibration energy when the length decreases 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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Lee SY, Lee MM. A New Wave Technique for Free Vibration of a String With Time-Varying Length. ASME. J. Appl. Mech. 2001;69(1):83-87. doi:10.1115/1.1427337.

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

References

Figures

String with length varying at a constant velocity v

Traveling wave pattern of the fundamental vibration mode over a period

Time-varying vibration periods of the fundamental mode when the string length changes at v=0.1c/l₀

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

Power flow by string tension at the moving boundary; (a) increasing length, (b) decreasing length

Free vibration energy when the length increases at v=0.1c/l₀

Free vibration energy when the length decreases at v=0.1c/l₀

Free vibration energy when v=0.2c/l₀; (a) increasing length, (b) decreasing length

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

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

References

Figures

String with length varying at a constant velocity v

Traveling wave pattern of the fundamental vibration mode over a period

Time-varying vibration periods of the fundamental mode when the string length changes at v=0.1c/l0

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

Power flow by string tension at the moving boundary; (a) increasing length, (b) decreasing length

Free vibration energy when the length increases at v=0.1c/l0

Free vibration energy when the length decreases at v=0.1c/l0

Free vibration energy when v=0.2c/l0; (a) increasing length, (b) decreasing length

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Time-varying vibration periods of the fundamental mode when the string length changes at v=0.1c/l₀

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

Free vibration energy when the length increases at v=0.1c/l₀

Free vibration energy when the length decreases at v=0.1c/l₀

Free vibration energy when v=0.2c/l₀; (a) increasing length, (b) decreasing length