Dynamics of simple string subject to unilateral constraint: A model analysis of sawari mechanism
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- Taguti Tomoyasu
- Konan University
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説明
The sawari is an instrumental mechanism of biwa and shamisen. Its physical structure involves a solid surface of very small size that the vibrating string touches dynamically, creating a peculiar timbre in the produced sound. This paper proposes a model of the sawari mechanism, which is a unilateral constraint on the displacement of a string, that is, a mechanism that is essentially nonlinear and time-dependent because of contact/separation phenomenon. Here, the key point of the model is the repelling force caused by the lateral elastic deformation of the string. The study is focused on the dynamic effect under an idealized problem setting so that the string vibrates at no loss of mechanical energy without any interaction with other objects such as a resonator that terminates the string in the real instrument. A numerical method is given for the computation of this problem. The numerical results show a gradual build-up of high-frequency oscillations that eventually prevail over the entire string motion. The short-term spectrum changes in a continuous way with time, maintaining a nearly harmonic structure on the fundamental frequency of the associated sawari-free problem.
収録刊行物
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- Acoustical Science and Technology
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Acoustical Science and Technology 29 (3), 203-214, 2008
一般社団法人 日本音響学会
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詳細情報 詳細情報について
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- CRID
- 1390282680066822656
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- NII論文ID
- 110006664347
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- NII書誌ID
- AA11501808
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- ISSN
- 13475177
- 03694232
- 13463969
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- NDL書誌ID
- 9478103
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDLサーチ
- Crossref
- NDLデジコレ(旧NII-ELS)
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可