Analysis of a Bowed String by the Method of Averaging.
Bibliographic Information
- Other Title
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- 擦弦振動の平均法による解析
- サツゲン シンドウ ノ ヘイキンホウ ニヨル カイセキ
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Abstract
This experiment using a relatively simple apparatus shows how the method of averaging can be used to calculate different self-excited vibrations of a bowed string, if a certain number of modes and a special restriction in the phase differences for each mode are taken into account. First, the coefficient of friction as a function of the relative velocity is incorporated into a nonlinear analysis of the self-excited vibrations of a bowed string. Next, using Galerkin's procedure, the equation of motion for the bowed string is reduced to the nonlinear ordinary differential equations. Finally, the solutions for these equations, which are determined using the method of averaging, are compared with the computed results using the Runge-Kutta-Gill method and the experimental results.
Journal
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- TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
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TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 62 (598), 2102-2109, 1996
The Japan Society of Mechanical Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390001206327049344
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- NII Article ID
- 130004231768
- 110002382699
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- NII Book ID
- AN00187463
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- ISSN
- 18848354
- 03875024
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- NDL BIB ID
- 3985759
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed