The Physics of Musical Instruments:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2010
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XX, 756 S. Ill. |
| ISBN: | 9781441931207 1441931201 |
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MARC
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| 020 | |a 1441931201 |c Pb. : EUR 79.13 (DE) (freier Pr.), sfr 114.00 (freier Pr.) |9 1-441-93120-1 | ||
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| 100 | 1 | |a Fletcher, Neville H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Physics of Musical Instruments |c Neville H. Fletcher ; Thomas D. Rossing |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York, NY |b Springer |c 2010 | |
| 300 | |a XX, 756 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1805096096949600256 |
|---|---|
| adam_text |
Contents
Preface
v
Preface
to the
First
Edition
vii
I. Vibrating Systems
1.
Free and Forced Vibrations of Simple Systems
3
1.1.
Simple Harmonic Motion in One Dimension
4
1.2.
Complex Amplitudes
6
1.3.
Superposition of Two Harmonic Motions in One
Dimension
7
1.4.
Energy
·. 10
1.5.
Damped Oscillations
11
1.6.
Other Simple Vibrating Systems
13
1.7.
Forced Oscillations
18
1.8.
Transient Response of an Oscillator
21
1.9.
Two-Dimensional Harmonic Oscillator
23
1.10.
Graphical Representations of Vibrations:
Lissajous Figures
25
1.11.
Normal Modes of Two-Mass Systems
26
1.12.
Nonlinearity
28
Appendix
29
References
32
2.
Continuous Systems in One Dimension:
Strings and Bars
34
2.1.
Linear Array of Oscillators
34
2.2.
Transverse Wave Equation for a String
36
2.3.
General Solution of the Wave Equation: Traveling Waves
37
2.4.
Reflection at Fixed and Free Ends
38
2.5.
Simple Harmonic Solutions to the Wave Equation
39
2.6.
Standing
Waves
39
2.7.
Energy
of a Vibrating String
40
2.8.
Plucked String: Time and Frequency Analyses
40
2.9.
Struck String
44
2.10.
Bowed String
46
2.11.
Driven String: Impedance
50
2.12.
Motion of the End Supports
52
2.13.
Damping
53
2.14.
Longitudinal Vibrations of a String or Thin Bar
56
2.15.
Bending Waves in a Bar
58
2.16.
Bars with Fixed and Free Ends
60
2.17.
Vibrations of Thick Bars: Rotary Inertia and
Shear Deformation
63
2.18.
Vibrations of a Stiff String
64
2.19.
Dispersion in Stiff and Loaded Strings: Cutoff Frequency
65
2.20.
Torsionai
Vibrations of a Bar
66
References
68
3.
Two-Dimensional Systems: Membranes, Plates,
and Shells
, 70
3.1.
Wave Equation for a Rectangular Membrane
70
3.2.
Square Membranes: Degeneracy
72
3.3.
Circular Membranes
73
3.4.
Real Membranes: Stiffness and Air Loading
75
3.5.
Waves in a Thin Plate
76
3.6.
Circular Plates
78
3.7.
Elliptical Plates
80
3.8.
Rectangular Plates
80
3.9.
Square Plates
83
3.10.
Square and Rectangular Plates with Clamped Edges
85
3.11.
Rectangular Wood Plates
88
3.12.
Bending Stiffness in a Membrane
91
3.13.
Vibration of Shells
92
3.14.
Driving Point Impedance
96
References
99
4.
Coupled Vibrating Systems
102
4.1.
Coupling Between Two Identical Vibrators
102
4.2.
Normal Modes
103
4.3.
Weak and Strong Coupling
105
4.4.
Forced Vibrations
107
4.5.
Coupled Electrical Circuits 111
4.6.
Forced Vibration of a Two-Mass System
115
4.7.
Systems with Many Masses
116
4.8.
Graphical Representation of Frequency Response
Functions
117
4.9.
Vibrating String Coupled to a Soundboard
119
4.10.
Two Strings Coupled by a Bridge
120
APPENDIX
125
References
131
5.
Nonlinear Systems
133
5.1.
A General Method of Solution
134
5.2.
The Nonlinear Oscillator
136
5.3.
The Self-Excited Oscillator
139
5.4.
Multimode Systems
140
5.5.
Mode Locking in Self-Excited Systems
143
5.6.
Nonlinear Effects in Strings
144
5.7.
Nonlinear Effects in Plates and Shells
148
References
150
II. Sound Waves
6.
Sound Waves in Air
155
6.1.
Plane Waves
156
6.2.
Spherical Waves
160
6.3.
Sound Pressure Level and Intensity
161
6.4.
Reflection, Diffraction, and Absorption
163
6.5.
Normal Modes in Cavities
167
References
' 169
7.
Sound Radiation
171
7.1.
Simple Multipole Sources
171
7.2.
Pairs of Point Sources
174
7.3.
Arrays of Point Sources
176
7.4.
Radiation from a Spherical Source
179
7.5.
Line Sources
181
7.6.
Radiation from a Plane Source in a Baffle
181
7.7.
Unbaffled Radiators
185
7.8.
Radiation from Large Plates
186
References
189
8.
Pipes, Horns and Cavities
190
8.1.
Infinite Cylindrical Pipes
190
8.2.
Wall Losses
193
8.3.
Finite Cylindrical Pipes
196
8.4.
Radiation from a Pipe
201
8.5.
Impedance
Curves
202
8.6.
Horns
205
8.7.
Finite Conical Horns
210
8.8.
Bessel Horns
213
8.9.
Compound Horns
216
8.10.
Perturbations
218
8.11.
Numerical Calculations
220
8.12.
Curved Horns
220
8.13.
Measurement of Acoustic Impedance
222
8.14.
The Time Domain
223
8.15.
Network Analogs
227
References
232
III. String Instruments
9.
Guitars and Lutes
239
9.1.
Design and Construction of Guitars
239
9.2.
The Guitar as a System of Coupled Vibrators
240
9.3.
Force Exerted by the String
241
9.4.
Modes of Vibration of Component Parts
245
9.5.
Coupling of the Top Plate to the Air Cavity:
Two-Oscillator Model
248
9.6.
Coupling to the Back Plate: Three-Oscillator Model
250
9.7.
Resonances of a Guitar Body
251
9.8.
Response to String Forces
253
9.9.
Sound Radiation
256
9.10.
Resonances, Radiated Sound, and Quality
258
9.11.
A Family of Scaled Guitars
260
9.12.
Use of Synthetic Materials
261
9.13.
Electric Guitars
262
9.14.
Frets and Compensation
263
9.15.
Lutes
264
9.16.
Other Plucked String Instruments
265
9.17.
One-Sided Bridge Constraints
268
References
269
10.
Bowed String Instruments
272
10.1.
A Brief History
272
10.2.
Research on Violin Acoustics
273
10.3.
Construction of the Violin
274
10.4.
Motion of Bowed Strings
275
10.5.
Violin Body Vibrations
285
10.6.
Transient Wave Response of the Violin Body
294
10.7. Soundpost
and Bass Bar
295
10.8.
The Bridge
297
10.9.
Sound Radiation
301
10.10.
The Bow
310
10.11.
Wolf Notes and Payability
312
10.12.
Tonal Quality of Violins
313
10.13.
Viola, Cello, and Double Bass
318
10.14.
Viols
319
10.15.
A New Violin Family
322
References
326
11.
Harps, Harpsichords, Clavichords, and Dulcimers
331
11.1.
Traditional Instruments
331
11.2.
The Harp
336
11.3.
The Harpsichord
340
11.4.
Harpsichord Design Considerations
343
11.5.
Harpsichord Characteristics
346
11.6.
The Clavichord
347
References
350
12.
The Piano
352
12.1.
General Design of Pianos
353
12.2.
Piano Action
354
12.3.
Piano Strings
362
12.4.
Piano Hammers
366
12.5.
The Soundboard
374
12.6.
Sound Decay: Interaction of Strings, Bridge,
and Soundboard
383
12.7.
Scaling and Tuning
387
12.8.
Tuning and Inharmonicity
388
12.9.
Timbre
390
12.10.
Electric Pianos
396
References
396
IV. Wind Instruments
13.
Sound Generation by Reed and Lip Vibrations
401
13.1.
Pressure-Controlled Valves
401
13.2.
Quasi-Static Model
403
13.3.
Generator Behavior at Playing Frequency
406
13.4.
Free Reeds
413
13.5.
Generators Coupled to Horns
415
13.6.
Large-Amplitude Behavior
418
13.7.
Nonlinear Analysis
422
13.8.
Numerical Simulation
424
References
426
14.
Lip-Driven Brass Instruments
429
14.1.
Historical Development of Brass Instruments
429
14.2.
Horn Profiles
431
14.3.
Mouthpieces
433
14.4.
Radiation
437
14.5.
Slides and Valves
440
14.6.
Small-Amplitude Nonlinearity
442
14.7.
Large-Amplitude Nonlinearity
445
14.8.
Input Impedance Curves
449
14.9.
Transients
450
14.10.
Acoustic Spectra
453
14.11.
Mutes
453
14.12.
Performance Technique
455
References
459
15.
Woodwind Reed Instruments
461
15.1.
Woodwind Bore Shapes
461
15.2.
Finger Holes
464
15.3.
Impedance Curves
470
15.4.
Reed and Air Column Interaction
477
15.5.
Directionality
480
15.6.
Performance Technique
481
15.7.
Acoustic Efficiency
484
15.8.
The Limiting Spectrum
484
15.9.
The Clarinet
486
15.10.
The Oboe
491
15.11.
The Bassoon
494
15.12.
The Saxophone
496
15.13.
Capped Reed Instruments
497
References
500
16.
Flutes and Flue Organ Pipes
503
16.1.
Dynamics of an Air Jet
503
16.2.
Disturbance of an Air Jet
509
16.3.
Jet-Resonator Interaction
511
16.4.
The Regenerative Excitation Mechanism
516
16.5.
Rigorous Fluid-Dynamics Approaches
521
16.6.
Nonlinearity and Harmonic Generation
522
16.7.
Transients and Mode Transitions
525
16.8.
Aerodynamic Noise
528
16.9. Simple
Flute-Type
Instruments 529
16.10. The Recorder 531
16.11. The Flute 537
References
548
17.
Pipe Organs
552
17.1.
General Design Principles
553
17.2.
Organ Pipe Ranks
557
17.3.
Flue Pipe Ranks
559
17.4.
Characteristic Flue Pipes
563
17.5.
Mixtures and Mutations
564
17.6.
Tuning and Temperament
566
17.7.
Sound Radiation from Flue Pipes
568
17.8.
Transients in Flue Pipes
569
17.9.
Flue Pipe Voicing
570
17.10.
Effect of Pipe Material
571
17.11.
Reed Pipe Ranks
573
17.12.
Analysis of Timbre
575
17.13.
Tonal Architecture
577
References
578
V. Percussion Instruments
18.
Drums
583
18.1.
Kettledrums
584
18.2.
Bass Drums
599
18.3.
Snare Drums
602
18.4. Tom-Toms 606
18.5.
Indian Drums
609
18.6.
Japanese Drums
615
18.7.
Indonesian Drums
618
18.8.
Latin American Drums
618
18.9.
Tambourines
620
References
621
19.
Mallet Percussion Instruments
623
19.1.
Glockenspiel
623
19.2.
The Marimba
624
19.3.
Tuning the Bars
627
19.4.
Resonators
633
19.5.
The Xylophone
636
19.6.
Vibes
638
19.7.
Mallets
639
19.8.
Chimes
641
19.9.
Triangles and Pentangles
642
19.10.
Gamelan
Instruments
645
19.11.
Tubaphones and
Gamelan
Chimes
645
References
647
20.
Cymbals, Gongs, Plates, and Steel Drums
649
20.1.
Cymbals
649
20.2.
Tam-Tams
656
20.3.
Gongs
660
20.4.
Crotales
663
20.5.
Bell Plates
665
20.6.
Flexed Plates: The Musical Saw
665
20.7.
Steel Pans
667
References
673
21.
Bells
675
21.1.
Modes of Vibration of Church Bells
676
21.2.
Tuning and Temperament
681
21.3.
The Strike Note
682
21.4.
Major-Third Bells
685
21.5.
Sound Decay and Warble
686
21.6.
Scaling of Bells
688
21.7.
Modes of Vibration of Handbells
691
21.8.
Timbre and Tuning of Handbells
694
21.9.
Sound Decay and Warble in Handbells
695
21.10.
Scaling of Handbells
696
21.11.
Sound Radiation
697
21.12.
Bass Handbells
699
21.13.
Clappers
699
21.14.
Ancient Chinese Two-Tone Bells
700
21.15.
Temple Bells of China, Korea, and Japan
701
References
705
Part VI. Materials
22.
Materials for Musical Instruments
711
22.1.
Mechanical Properties of Materials
712
22.2.
Materials for Wind Instruments
717
22.3.
Wood
719
22.4.
Plastics and Composite Materials
726
22.5.
Metals
728
22.6.
Conclusion
732
References
733
Name
Index
735
Subject
Index
743 |
| any_adam_object | 1 |
| author | Fletcher, Neville H. Rossing, Thomas D. 1929- |
| author_GND | (DE-588)112601340 |
| author_facet | Fletcher, Neville H. Rossing, Thomas D. 1929- |
| author_role | aut aut |
| author_sort | Fletcher, Neville H. |
| author_variant | n h f nh nhf t d r td tdr |
| building | Verbundindex |
| bvnumber | BV037429095 |
| classification_rvk | UF 6700 |
| ctrlnum | (OCoLC)780101082 (DE-599)DNB100842093X |
| dewey-full | 784.19 |
| dewey-hundreds | 700 - The arts |
| dewey-ones | 784 - Instruments & instrumental ensembles |
| dewey-raw | 784.19 |
| dewey-search | 784.19 |
| dewey-sort | 3784.19 |
| dewey-tens | 780 - Music |
| discipline | Physik Musikwissenschaft |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV037429095 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T11:09:44Z |
| institution | BVB |
| isbn | 9781441931207 1441931201 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022581201 |
| oclc_num | 780101082 |
| open_access_boolean | |
| owner | DE-188 DE-739 DE-19 DE-BY-UBM DE-29T DE-20 |
| owner_facet | DE-188 DE-739 DE-19 DE-BY-UBM DE-29T DE-20 |
| physical | XX, 756 S. Ill. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| spelling | Fletcher, Neville H. Verfasser aut The Physics of Musical Instruments Neville H. Fletcher ; Thomas D. Rossing 2. ed. New York, NY Springer 2010 XX, 756 S. Ill. txt rdacontent n rdamedia nc rdacarrier Musikinstrument (DE-588)4040851-6 gnd rswk-swf Technische Akustik (DE-588)4059219-4 gnd rswk-swf Akustik (DE-588)4000988-9 gnd rswk-swf Musikalische Akustik (DE-588)4123807-2 gnd rswk-swf Musikinstrument (DE-588)4040851-6 s Akustik (DE-588)4000988-9 s DE-604 Musikalische Akustik (DE-588)4123807-2 s 1\p DE-604 Technische Akustik (DE-588)4059219-4 s 2\p DE-604 Rossing, Thomas D. 1929- Verfasser (DE-588)112601340 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3598590&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022581201&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fletcher, Neville H. Rossing, Thomas D. 1929- The Physics of Musical Instruments Musikinstrument (DE-588)4040851-6 gnd Technische Akustik (DE-588)4059219-4 gnd Akustik (DE-588)4000988-9 gnd Musikalische Akustik (DE-588)4123807-2 gnd |
| subject_GND | (DE-588)4040851-6 (DE-588)4059219-4 (DE-588)4000988-9 (DE-588)4123807-2 |
| title | The Physics of Musical Instruments |
| title_auth | The Physics of Musical Instruments |
| title_exact_search | The Physics of Musical Instruments |
| title_full | The Physics of Musical Instruments Neville H. Fletcher ; Thomas D. Rossing |
| title_fullStr | The Physics of Musical Instruments Neville H. Fletcher ; Thomas D. Rossing |
| title_full_unstemmed | The Physics of Musical Instruments Neville H. Fletcher ; Thomas D. Rossing |
| title_short | The Physics of Musical Instruments |
| title_sort | the physics of musical instruments |
| topic | Musikinstrument (DE-588)4040851-6 gnd Technische Akustik (DE-588)4059219-4 gnd Akustik (DE-588)4000988-9 gnd Musikalische Akustik (DE-588)4123807-2 gnd |
| topic_facet | Musikinstrument Technische Akustik Akustik Musikalische Akustik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3598590&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022581201&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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