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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 電機工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46899
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor鄭士康
dc.contributor.authorCheng-Hsuan Hsiehen
dc.contributor.author謝承軒zh_TW
dc.date.accessioned2021-06-15T05:42:58Z-
dc.date.available2010-08-20
dc.date.copyright2010-08-20
dc.date.issued2010
dc.date.submitted2010-08-20
dc.identifier.citation[1] Matthias Bertsch, “Is There a Typical Orchestra Signature in Vienna, Austria?”
Proceedings of ISMA, S.285-288, 2001
[2] 曾士豪, “Simulated and experimental tune analysis of Piccolo Trumpet”, 2009
[3] 羅瑋彥, “影響管樂器音高之設計變數─以中音薩克斯風為例”, 2006
[4] Kinsler, L. E., Frey, A. R., Coppens, A. B. and Sanders J. V., Fundamentals of
Acoustics third edition, Wiley, 1982
[5] Fletcher, N. H. and Rossing, T. D., The Physics of Musical Instrument second
edition, Springer-Verlag, 1998
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46899-
dc.description.abstract截至目前為止,本研究利用有限元素分析法建立了一把轉閥小號和一把活塞
小號的物理模型。模型中,兩把小號的特徵頻率和頻率響應(即轉移函數)已被求
出;而可用以在活塞小號上製造出維也納式小號音色的壓力源也已於頻域上解
出,並模擬出初步的輸出音訊。
zh_TW
dc.description.abstractMy research, thus far, consists of building two kinds of models of
rigid-wall trumpets by the finite element method. My research demonstrates
feasibility by solving the eigenfrequencies, the impulse response
(or the transfer function) and the modulated input source that is supposed
to be capable of reproducing a Viennese style trumpet sound via
a regular piston trumpet. In addition, the objective of this research
has been achieved to some extent such that future improvement is
possible.
en
dc.description.provenanceMade available in DSpace on 2021-06-15T05:42:58Z (GMT). No. of bitstreams: 1
ntu-99-R97942068-1.pdf: 7498233 bytes, checksum: 1119f2ba5b38865fab0c00afd10c873e (MD5)
Previous issue date: 2010
en
dc.description.tableofcontentsList of Figures iii
List of Tables v
1 Introduction 1
1.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Related Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 Background 3
2.1 The Acoustic Wave Equation and Simple Solutions . . . . . . . . 3
2.1.1 The Equation of Continuity . . . . . . . . . . . . . . . . . 3
2.1.2 The Simple Force Equation: Euler’s Equation . . . . . . . 4
2.1.3 The Linearized Wave Equation . . . . . . . . . . . . . . . 6
2.1.4 Harmonic Plane Waves . . . . . . . . . . . . . . . . . . . . 7
2.1.5 Specific Acoustic Impedance . . . . . . . . . . . . . . . . . 8
2.2 Resonance in Pipes . . . . . . . . . . . . . . . . . . . . . . . . . . 8
3 Method of Reproducing the Viennese Rotary Trumpet Sound by
a Regular Piston Trumpet 10
3.1 Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
3.2 Modeling the Two Types of Trumpets . . . . . . . . . . . . . . . 11
3.2.1 The Exact Geometries . . . . . . . . . . . . . . . . . . . . 11
3.2.2 The Simplified Geometries . . . . . . . . . . . . . . . . . . 11
3.2.3 Creating Meshes . . . . . . . . . . . . . . . . . . . . . . . 14
3.3 Solving for Geometry Eigenfrequencies Using the Eigenfrequency
solver in COMSOL Multiphysics . . . . . . . . . . . . . . . . . . . 15
3.4 Solving for the Impulse Responses of the Trumpet Models Using
the Time-Dependent Solver in COMSOL . . . . . . . . . . . . . . 19
3.5 Reproducing the Viennese Trumpet Sound by a Regular Piston
Trumpet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
3.5.1 Core Concepts of the Reproduction Process . . . . . . . . 20
3.5.2 Flow Chart of the Reproduction Procedure . . . . . . . . . 21
4 Results and Discussions 23
4.1 The Eigenfrequency Analysis . . . . . . . . . . . . . . . . . . . . . 23
4.1.1 Open-Ended Pipe . . . . . . . . . . . . . . . . . . . . . . . 23
4.1.2 Open-Ended Rotary Trumpet . . . . . . . . . . . . . . . . 23
4.1.3 Open-Ended Piston Trumpet . . . . . . . . . . . . . . . . 28
4.2 The Impulse Responses of the Two Trumpets . . . . . . . . . . . 28
4.2.1 The Impulse Response of the Rotary Trumpet in the Near
Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.2.2 The Impulse Response of the Piston Trumpet in the Near
Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.3 The Process of Reproducing the Viennese Style Trumpet Timbre . 33
4.3.1 The Impulse Response of the Piston Trumpet in the Far
Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
5 Conclusions and Future Work 43
dc.language.isoen
dc.subject活塞zh_TW
dc.subject小號zh_TW
dc.subject樂音zh_TW
dc.subject再造zh_TW
dc.subject維也納zh_TW
dc.subject有限元素zh_TW
dc.subjectFinite Element Methoden
dc.subjectMATLABen
dc.subjectCOMSOLen
dc.subjectFEMen
dc.subjectVienneseen
dc.subjectTrumpeten
dc.subjectSounden
dc.subjectPistonen
dc.subjectReproducingen
dc.title運用一般活塞式小號所達成之再造維也納式小號樂音zh_TW
dc.titleReproducing the Viennese-Style Trumpet Sound by a Regular
Piston Trumpet
en
dc.typeThesis
dc.date.schoolyear98-2
dc.description.degree碩士
dc.contributor.oralexamcommittee尤信程,周元昉,張智星,蘇文鈺
dc.subject.keyword維也納,活塞,小號,樂音,再造,有限元素,zh_TW
dc.subject.keywordViennese,Trumpet,Sound,Piston,Reproducing,Finite Element Method,FEM,COMSOL,MATLAB,en
dc.relation.page44
dc.rights.note有償授權
dc.date.accepted2010-08-20
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電機工程學研究所zh_TW
顯示於系所單位:電機工程學系

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