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研究生: 江威君
Wei-chun Chiang
論文名稱: 二胡琴弦振動與狼音產生機制之探討
Research on Strings Oscillation and the Resulting of Wolf-Tone for Erhu
指導教授: 徐茂濱
Mau-Pin Hsu
口試委員: 陳國在
none
黃世欽
Shyh-Chin Huang
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 125
中文關鍵詞:  拍擊現象 有限元素分析琴弦狼音二胡
外文關鍵詞: Beating phenomenon, Wolf –tone, Erhu, Finite element method, string
相關次數: 點閱:245下載:22
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二胡是中國傳統樂器中最主要的擦弦樂器,它的優越性為聲音強弱易於控制自如,善於演奏滑音而接近語言聲腔,能表現出各種喜怒哀樂的情感,適合與多種樂器配合,亦是良好的獨奏樂器。雖然二胡已成為目前主流的樂器之一,但是對於二胡的研究及改良大多仍利用主觀判斷的方式來尋找問題的癥結,再以嘗試錯誤法來解決問題。

二胡演奏所產生的狼音現象及原因,多家說法不一,大多數僅做現象描述,而缺乏科學分析。本研究證實了二胡的狼音並非是受短弦之振動影響而產生的,而係與提琴家族之狼音同為〝拍擊〞現象,但就其產生之原因而言,二胡是因琴弦的自然頻率跟琴皮的自然頻率相近而產生共振,與提琴家族中係因琴弦之自然頻率接近琴板之自然頻率(主木共振)時所產生之情況相類似。此外,目前使用止音布來消除狼音,其附帶之缺點是會使得二胡之高音音量變弱,並非最佳解決方案,所以仍須繼續探究。

本文並嘗試運用有限元素分析軟體ANSYS,建立簡單之琴弦振動模型,將琴碼及琴皮對振動之影響考慮進去,以模擬琴弦之振動模態,以為後續之相關研究預作準備。


Being the main wiping-the-string instrument of Chinese traditional musical instrument, erhu is extraordinarily good on controlling the strong or weak of voices, also on performing glide to simulate human lingual sound, therefore may easily express various emotions such as anger or happiness. It is not only suitable for harmonizing with multiform instruments, but also excellent for playing solo.
Even though erhu has already become main stream of musical instruments nowadays, it still has a lot of defects to settle. At present, the research and refinement of erhus are mostly based on subjective determination of existing problems, and then solve the problems by the method of trial and error.
There are various theories on the phenomenon and causes of wolf-tone resulted from playing erhu, which mostly focus on description of the phenomenon instead of scientific analysis. This thesis intends to proof through theory and experimentation that the wolf–tone is not resulted from vibration effect of short string, but caused by “beating” similar to the violin family. The wolf–tone of erhu caused by beating is resulted from nearly the same natural frequency of the snakeskin as the string, which is like the wolf–tone frequency caused by the main wood resonance frequency on the family of violin instruments, so as to bring the periodic diminution and augmentation of the odd harmonics of a string. The present usage of cloth damper to clear up wolf–tone sounds is not the best resolution because it will weaken the high pitch voice, which must be further keep on exploring.
This thesis also intends to create a string oscillate mode through ANSYS software of finite element method, and to consider the influence on vibration of bridge and snakeskin to imitate string vibration, in order to be prepared for further research.

目 錄 摘 要Ι 目 錄Ⅲ 圖索引Ⅵ 表索引III 符號說明III 第一章緒論1 1.1 研究動機與目的1 1.2文獻回顧與整理2 1.3本文架構3 第二章二胡琴弦的振動理論基礎5 2.1前言5 2.2弦振動方程式的推導5 2.3弦振動的頻率與波形8 2.4 樂器之振動系統20 第三章二胡琴弦振動之有限元素分析21 3.1 前言21 3.2 二胡構造簡介21 3.3 二胡的音位與把位23 3.4 二胡與提琴的比較24 3.5 琴弦振動之有限元素分析26 3.6 修正琴弦振動之有限元素分析模型33 3.7 校正琴弦振動之有限元素分析模型38 3.8 琴弦振動模型之運用40 3.9 模擬琴皮之自然模態43 3.10 模擬琴弦與琴皮之組合48 第四章 二胡產生狼音的原因及改善49 4.1 前言49 4.2 文獻回顧49 4.3 二胡產生狼音的原因51 4.4 狼音位置及頻率分析58 4.5 狼音的改善方法81 4.6 小結89 第五章 結論與建議90 5.1 結論90 5.2 對未來研究方向的建議91 參考文獻92 附錄A 有限元素分析之弦振動模型程式94 附錄B 二胡琴筒內的空氣共振99 附錄C 薄膜振動模式106

參考文獻
[1]Hutchins, C. M., Research papers in violin acoustics, 1975-1993: with an introductory essay, 350 years of violin research, Published by the Acoustical Society of America through the American Institute of Physics, New York, 1997.
[2]Hutchins, C. M., “Measurable Characteristics of Violin-Family Instruments in Relation to the Sound of a High-Quality Violin,” MRS Bulletin, Vol. 20, No. 3, pp. 29-31, 1995.
[3]Hutchins, C. M., “The Air and Wood Modes of the Violin,” Journal of the Audio Engineering Society, Vol. 46, No. 9, pp. 751-765, 1998.
[4]林昱廷,南胡空弦弦長的科學分析研究,學藝出版社,1995年。
[5]林昱廷、李志良,南胡各段琴弦張力與共振頻率之探討,學藝學報第71期,2002年。
[6]李志良、林昱廷、陳鄭港、楊瑾惠,南胡空弦弦長探討—振動的弦與一維波動方程式,實驗國樂團雙月刊,第十七期,2002年。
[7]陳渝生,二胡狼音的產生原因及消除方法,中國音樂學季刊,第三期,104~107頁,2001年。
[8]田英志,二胡樂音之聲音品質與狼音改良,國立台灣科技大學機械工程學系碩士論文,2004年7月。
[9]莊肯堯,二胡樂音指標之建立與蟒皮對於音色之影響,國立台灣科技大學機械工程學系碩士論文,2005年6月。
[10]陳精一,ANSYS 7.0電腦輔助工程實務分析,全華科技圖書股份有限公司,2004。
[11]張詔,南胡技術講座,學藝出版社,1987年。
[12]莊仲平,提琴的祕密,果實出版社,39~50頁,2005年。
[13]http://www.falstad.com/loadedstring
[14]蕭前勇,二胡入門基礎教程,藍天出版社,44~46頁,2003年。
[15]Rao, S.S., Mechanical Vibrations, Addison Wesley, Second Edition, pp. 376-393, 1990.
[16]Fletcher, N. H., and Rossing, T. D., The Physics of Musical Instruments, Springer, New York, pp.53-63, 1998.
[17]鄭德淵,音樂的科學,生韻出版社,44~51頁以及114~117頁,1985年。
[18]Bavu, E., Smith, J. and Wolfe, J. "Torsional waves in a bowed string" and" Bows and strings" (manuscript to appear in Acustica). http://www.unsw.edu.au
[19]Firth, I. M., and Buchanan, J. M., “The Wolf in the Cello,” Journal of the Acoustical Society of America, Vol. 53, No. 2, pp. 457-463, 1973.
[20]Firth, I. M., “The Action of the Cello at the Wolf Tone,” Acustica, Vol. 39, No. 4, pp. 252-263, 1978.
[21]陳正生,武漢音樂學院學報《黃鍾》第2期,1992年。吹鼓吹小站http://suona.com/instr/ph20020317a.htm
[22]周榮松,二胡練功房,http://www.erhu.org/
[23]Cremer, L., and Allen, J. S., The Physics of the Violin ,The MIT Press ,Cambridge, Massachusetts , pp. 274-281, 1984.
[24]Source:http://www.phys.unsw.edu.au/~jw/Helmholtz.html
[25]Wright, M.C.M., “Bowing the Wolf: Simulations and Experiments on a Real Cello” , Acustica,No. 189, pp.3, 2004.
[26]"Who's Afraid of the Big Bad Wolf? " http://www.cello.org/cnc/tim49.htm

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