Computational mechanics of the classical guitar

Computational Mechanics of the Classical Guitar

Volumn , Issue , 2005, Pages 1-183

  Bader, Rolf ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891381629     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/3-540-31103-3     Document Type: Book

References (144)

1. Argyris, J. : Die Erforschung des Chaos: Studienbuch für Naturwissenschaftler und Ingenieure. Vieweg, Braunschweig, 1995.
2. Backus, J. : Multiphonic tones in the woodwind instruments. In: Journal of the Acoustical Society of America, 63, 591-599, 1978.
3. Bader, R. : Physical model of a complete classical guitar body. In: Proceedings of the Stockholm Music Acoustics Conference 2003, R. Bresin (ed. ) Vol. 1, 121-124, 2003.
4. Bader, R. : Fraktale Dimensionen, Infomationsstrukturen und Mikrorhythmik der Einschwingvorgänge von Musikinstrumenten. PhD der Universität Hamburg. 2002.
5. Bader, R. : Fractal correlation dimensions and discrete-pseudo-phase- plots of percussion instruments in relation to cultural world view. In: Ingenierias, Octubre-Diciembre 2002, Vol. V. No 17, p. 1-11.
6. Bader, R. : Fractal dimensions of initial transients of musical instruments. In: Journal of the Acoustical Society of America, Vol 110, 5, 2755, 2001.
7. Bathe, K.-J. : Finite-Elemente-Methoden. Springer 2002.
8. Bank, B. & Sujbert, L. : Modeling the longitudinal vibration of piano strings. In: Proceedings of the Stockholm Music Acoustics Conference 2003, S. 143-146, 2003.
9. Bensoam, J., Causse, R., Vergez, C., Misdariis, N. & Ellis, N. : Sound Synthesis for Three-Dimensional Objects: Dynamic Contact between two Arbitrary Elastic Bodies. In: Proceedings of the Stockholm Music Acoustics Conference 2003, S. 369-372, 2003.
10. Berry, F. A., Herzel, H., Tieze, I. R. & Story, B. H. : Bifurcations in Excised Larynx Experiments. In: Journal of Voice 10, 129-38, 1996.
11. Beurmann, A. & Schneider, A. : Sonological Analyses of Harpsichord Sounds. In: Proceedings of the Stockholm Music Acoustics Conference S. 167-170, 2003.
12. Bohlen, Th. : Viskoelastische FD-modellierung seismischer Wellen zur Interpretation gemessener Seismogramme. PhD, Kiel 1998.
13. Borg, I. : Entwicklung von akustischen Optimierungsverfahren für Stabspiele und Membraninstrumente. (Development of acoustical optimization methods for musical bars and membrane instruments). PTB Report, Projekt 5267, Braumschweig 1983.
14. Boullosa, R. R. : The use of transient excitation for guitar frequency response testing. In: catgut Acoustical Society Newsletter, 36, 17, 1981.
15. Bretos, J., Santamaria, C. & Moral, J. A. : Vibrational patterns and frequency responses of the free plates and box of a violin obtained by finite element analysis. In: Journal of the Acoustical Society of America, 105,3, 1942-1950, 1999.
16. Bretos, C., Santamaria, C. & Moral, J. A. : Finite element analysis and experimantal measurements of natural eigenmodes and random responses of wooden bars used in musical instruments. In: Applied Acoustics 56,3, 141-156, 1999.
17. Caldersmith, G. : Guitar as a reflex enclosure. In: Journal of the Acoustical Society of America 63, 1566-1575, 1978.
18. Caldersmith, G. : Frequency response and played tones of guitars. Quarterly Reports STL-QPSR 4/1980, Department of Speech Technology and Music Acoustics, Royal Institute of Technology KTH Stockholm, 50-61, 1980.
19. Caldersmith, G. : Towards a classic guitar family. In: American Lutherie, 18, 20-25, 1989.
20. Caldersmith, G. : The guitar family, continued. In: American Lutherie, 41, 10-16, 1995.
21. Caldersmith, G. : Designing a guitar family. In: Applied Acoustics 465, 3-17.
22. Christensen, O. & Vistisen, B. B. : The response of played guitars at middle frequencies. In: Acustica 53, 45, 1983.
23. Christensen, O. : Guitar Sound Pressure Response. In: Acustica 54, 289-95, 1984.
24. Cook, P. R. : Nonlinearity, Waveshaping, FM. In: Real Sound Synthesis for Interactive Applications. Cook (ed. ) AK Peters, Natick, 109-120, 2002.
25. Cremer, L. : Der Einfluß des Bodgendrucks auf die selbsterregten Schwingungen der gestrichenen Saite. In: Acustica 30, 119, 1974.
26. Cremer, L: The physics of the violin. MIT Press, Cambridge, 1985.
27. David, M. B. : Charactérisation acoustigues de structures vibrantes par mise en atmosphére raréfié. PhD Thesis de l'Université Paris 6, 1999.
28. Derveaux, G. : Modélisation numérique de la guitare acoustique. PhD Thesis de l'Ecole Polytechnique Paris, 2002.
29. Elejabarrieta, M. J., Ezcurra, A. and Santamaria, C. : Vibrational behaviour of the guitar soundboard analysed by means of finite element analysis. In: Acustica united with Acta Acustica, 87, 128-136, 2001.
30. Elejabarrieta, M. J., Ezcurra, A. and Santamaria, C. : Coupled modes of the resonance box of the guitar. In: Journal of the Acoustical Society of America, 111, 2283-2292, 2002.
31. Feynman, R. P. : Vorlesungen über Physik. Vol II. The Feynman Lectures on Physics, Vol II, in deutscher Bearbeitung, Oldenbourg Wissenschaftsverlag GmbH, 2001, 1963.
32. Fitch, T., Neubauer, J. & Herzel, H. : Calls out of Chaos: The Adaptive Significance of Nonlinear Phenomena in Mammalian Vocal Production. In: Animal Behavior 63, 3, 407-18, 2002.
33. Fletcher, N. H. : Mode locking in nonlinearly excited inharmonic musical oscillators. In: Journal of the Acoustical Society of America 64, 1566-69, 1978.
34. Fletcher, N. H. : Nonlinear frequency shifts in quasi-spherical cap shells: Pitch glide in Chinese gongs. In: Journal of the Acoustical Society of America, 2078, 2069-2073, 1985.
35. Fletcher, N. H. & Rossing, Th. D. : The Physics of Musical Instruments. Springer 2000.
36. Flügge, W. : Statik und Dynamik der Schalen. Berlin/Göttingen/ Heidelberg 1962.
37. Galluzzo, P. M. & Woodhouse, J. : Experiments with an automatic bowing machine. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, S. 55-58, 2003.
38. Gear, C. W. : Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs, NJ, 1971.
39. Gibiat, V. : Phase space representations of acoustical musical signals. In: Journal of Sound and Vibration, 123/3, 529-536, 1988.
40. Gibiat, V. & Castellengo, M. : Period Doubling Occurences in Wind Instruments Musical Performance. In: Acustica 86, 746-754, 2000.
41. Gough, C. E. : The theory of string resonances on musical instruments. In: Acustica 49, 124-141, 1981.
42. Goudreau, G. L. and Taylor, R. L. : Evaluation of Numerical Integration Methods in Elastodynamics. In: Computer Methods in Applied Mechanics and Engineering, 2, 69-97, 1972.
43. Güth, W. : "Ansprache" von Streichinstumenten. In: Asustica, 46, 259-267, 1980.
44. Güth, W. : Einführung in die Akustik der Streichinstrumente. Stuttgart 1995.
45. Güttler, K. : Wave analysis of a string bowed to anomalous low frequencies. In: Journal of the Catgut Acoustical Society 2, 8-14, 1994.
46. Haase, M., Widjajakusuma, J. & Bader, R. : Scaling Laws and Frequency Decomposition from Wavelet Transform Maxima Lines and Ridges. In: Novak, M. M. ed. : Emergent Nature. World Scietific 2002, p 365-74.
47. Haile, J. M. : Molecular Dynamics Simulation. Elementary Methods. John Wiley & Sons, Inc., NY 1997.
48. Haines, D. W. : On musical instrument wood. In: Catgut Acoustical Society Newsletter 31, 23-32, 1979.
49. Haken, H. : Synergetik. 3. Auflage, Springer, 1990.
50. Haken, H. : Advanced Synergetics. Springer 1983.
51. Hanson, R. J., Schneider, A. J. & Halgedahl, F. W. : Anomalous low-pitched tones from a bowed violin string. In: Journal of the Catgut Acoustical Society 2, 1-7, 1994.
52. Hanson, R. J., Macomber, H. K. & Morrison, A. C. : Unusual motions of a nonlinear asymmetrical vibrating string. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, 731-34, 2003.
53. Hartmann, W. M. : Signals, Sound, and Sensation. Springer 1998.
54. Helmholtz, H. von: Die Lehre von den Tonempfindungen. 1862. Hier in der 7.
55. Auflage von 1968.
56. Hilber, H. M. : Analysis and Design of Numerical Integration Methods in Structural Dynamics. In: EERC Report No. 77-29, Earthquake Engineering Research Center, University of California, Berkeley, California, November 1976.
57. Hilber, H. M., Hughes, T. J. R. and Taylor, R. L. : Improved Numercal Dissipation for Time Integration Algorithms in Structural Dynamics. In: Earthquake Engineering and Structural Dynamics, 5, 283-292, 1977.
58. Holzapfel, G. A. : Nonlinear Solid Mechanics. A continuum approach for engineering. Wiley 2000.
59. Houtsma, A. J. M. & Burns, E. M. : Temporal and spectral characteristics of tambura tones. In: Journal of the Acoustical Society of America 71, S83, 1982.
60. Hughes, J. R. : The Finite Element Method. Linear Static and Dynamic Finite Element Analysis. Dover Publications, Mineola, 1987.
61. Hutchings, C. (ed. ): Research Papers in Violin Acoustics. Band I and II, Publication by the Acoustical Society of America, 1997.
62. Jahnel, F: Die Gitarre und ihr Bau. Frankfurt a. M. 1986.
63. Jahnke-Ende: Tafeln höherer Funktionen. Leipzig 1948.
64. Jansson, E. V. : A study of acoustical and hologram interferometric measurements of the top plate vibrations of a guitar. In: Acustica, 25, 95-100, 1971.
65. Jansson, E. V. : Fundamentals of the guitar tone. In: Journal of Guitar Acoustics, 6, 26-41, 1982.
66. Jansson, E. V. : Acoustics for the guitar player. In: Function, Construction, and Quality of the Guitar. Jannson (ed. ). Royal Swedish Academy of Music, Stockholm, 7-26, 1983.
67. Karjalainen, M. : Time-domain physical modeling and real-time synthesis using mixed modeling paradigms. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, 393-396, 2003.
68. Kimula, M. : How to produce subharmonics on the violin. In: New Music Research 28, 178-184, 1999.
69. Knothe, K. & Wessels, H. : Finite Elemente. Eine Einführung für Ingenieure. 3. Auflage, Springer, 1999.
70. Krassnitzer, G. : Multiphonics für Klarinette mit deutschem System und andere zeitgenössische Spielarten. edition ebenos Verlag Aachen, 2002.
71. Krieg, R. D. and Key, S. W. : Transient shell Response by Numerical Time Integration. In: International Journal for Numerical Methods in Engineering, 7, 273-286, 1973.
72. Knott, G. A. : A modal analysis of the violin using MAC/NASTRAN and PATRAN. MSc thesis, Monterey, CA, 1987.
73. Lai, J. C. S. & Burgess, M. A. : Radiation efficiency of acoustic guitars. In: Journal of the Acoustical Society of America 88, 1222-7, 1990.
74. Le Pichon, A., Berge, S. & Chaigne, A. : Comparison between Experimental and Predicted Radiation of a Guitar. Acustica-acta acustica 84, 136-145, 1998.
75. Lee, M.-H., Lee, J.-N. & Soh, K.-S. : Chaos in Segments from Korean Traditional Singing and Western Singing. In: Journal of the Acoustical Society of America 103, 1175-82, 1998.
76. Leissa, U. : Vibration of plates. Publication of the Acoustical Society of America, NY 1993.
77. Leissa, U. : Vibration of shells. Publication of the Acoustical Society of America, NY 1993.
78. Letowski, T. & Bartz, J. : Obiektywne Krytzeria Jokosci Pudel Gitarowych. In: Arch. Akust. 6,1, 37, 1971.
79. Lipps, Th. : Grundlegung der Asthetik. Erster Teil. Verlag von Leopold Voss, Hamburg und Leipzig, 1903.
80. Luce, D. & Clark, M. : Durations of attack transients of nonpercussive orchestral instruments. In: Journal of the Audio Engineering Society 13, 194-199, 1965.
81. Meyer, J. : Verbesserung der Klangqualität von Gitarren aufgrund systematischer Untersuchungen ihres Schwingungsverhaltens. (Improvement of the sound quality of guitars due to systematic investigations of their vibrating behaviours) PTB-Report, Forschungsvorhaben Nr. 4490, 1980.
82. McIntyre, M. E. &Woodhouse, J. : The Influence of Geometry on linear Damping. In: Acustica 39, 209-224, 1978.
83. McIntyre, M. E. & Woodhouse, J. : Fundamentals of bowed-string dynamics. In: Acustica 43, 93-108, 1979.
84. McIntyre, M. E., Schumacher, R. T. & Woodhouse, J. : Aperiodicity in bowedstring modtion. In: Acustica 49, 13-32, 1981.
85. Meisner, C. W., Thorne, K. S. & Wheeler, J. A. : Gravitation. San Freeman, Francisco, NY, 3. Auflage 1973.
86. Molin, N. E., W?ahlin, A. O. & Jansson, E. V. : Transient wave response of the voilin body In: Journal of the Acoustical Society of America 88, 2479-2481, 1990.
87. Molin, N. E., W?ahlin, A. O. & Jansson, E. V. : Transient wave response of the voilin body revisited. In: Journal of the Acoustical Society of America 90, 4, 2192-2195, 1991.
88. Moon, F. C. : Chaotic and Fractal dynamics. NY 1992.
89. Morse, Ph. & Ingard, U. : Theoretical Acoustics. Princeton Univ. Press, 1983.
90. Neubauer, J., Edgerton, M. & Herzel, H: Nonlinear Phenomena in Contemporary Vocal Music In: Journal of Voice, 18,1, S. 1-12 2004.
91. Newland, D. E. : Mechanical vibration analysis and computation. Longman Scientific, NY, 1989.
92. Newmark, N. M. : A method of computation for structural dynamics. In: Proceedings of ASCE, Journal of Engineering Mechanics, 85, 67-94, 1959.
93. Oertel jr, H. : Prandtl-Führer durch die Strömungslehre. Grundlagen und Phänomene. Vieweg, 11. Auflage, 2002.
94. Olivier, S. & Dalmont J.-P. : Experimental investiagion of clarinet reed operation and its consequence on the non-linear characteristics of the mouthpiece. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, 283-286, 2003.
95. Pakarinen, J., Karjalainen, M. & Valimaki, V. : Modeling and real-time synthesis of the kantele using distributed tension modulation. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, 409-12, 2003.
96. Pickering, N. C. : Physical properties of violin strings. In: Journal of the Catgut Acoustical Society 44, 6-8, 1985.
97. Pickering, N. C. : Noninear behavior in overwound violin strings. In: Journal of the Catugut Acoustical Society, 1, 3 46-50, 1989.
98. Pickering, N. C. : The bowed string. Ameron, Mattituck, NY, 1992.
99. Pitteroff, R. & Woodhouse, J. : Mechanics of the Contact Area Between a Violin Bow and a String. Part I: Reflection and Transmission Behaviour. In: Acustica-acta acustica, 84, 543-562, 1998.
100. Pitteroff, R. & Woodhouse, J. : Mechanics of the Contact Area Between a Violin Bow and a String. Part II: Simulating the Bowed String. In: Acustica-acta acustica, 84, 543-562, 1998.
101. Pitteroff, R. & Woodhouse, J. : Mechanics of the Contact Area Between a Violin Bow and a String. Part III: Parameter Dependence. In: Acustica-acta acustica, 84, 543-562, 1998.
102. Rayleigh, J. W. S. : The Theory of Sound. Volume One, Dover Reprint of 1877, 1945.
103. Reuter, Ch. : Der Einschwingvorgang nichtperkussiver Musikinstrumente. Frankfurt a. M. 1995.
104. Richardson, B. E. & Roberts, G. W. : The adjustment of mode frequencies in guitars: A study by means of holygraphic interferometry and finite element analysis. In: Proceedings of Stockholm Musical Acoustics Conference 1983.
105. 285-302, 1985.
106. Richardson, B. E. & Roberts, G. W. : The adjustment of mode frequencies in guitars: a study by means of holographic interferometry and finite element analysis. In: Proceedings of the Stockhom Musical Acoustics Conference 1983, 285-302, 1985.
107. Richardson, B. E., Walker, G. P. & Brooke, M. : Synthesis of guitar tones from fundamental prameters relating to construction. In: Proceedings of the Institute of Acoustics, 12(1), 757-764, 1990.
108. Richardson, B. E. : Guitar models for makers. In: Proceedings of Stockholm Music Acoustics Conference 2003, S. 117-120, 2003.
109. Roberts, G. W. : Finite element analysis of the violin, extract from Vibrations of shells and their relevance to musical instruments. PhD V University College, Cardiff, Wales, UK, 1986.
110. Rodet, X. & Vergez, C. : Nonlinear Dynamics in Physical Models: Simple Feedback-Loop Systems and Properties. In: Computer Music Journal, 23,3, 18-35, 1999.
111. Rodgers, E. O. : The Efferct of the Elements of Wood Stiffness on Violin Plate Vibration. In: Journal of the Acoustical Society of America, 1, 1, Series II, 1988.
112. Rodgers, O. E. : Relative Influence of Plate Arching and Plate Thickness Patterns on Violin Back Free Plate Tuning. In: Journal of the Acoustical Society of America, 1, 6, Serie II, 1990.
113. Rodgers, O. E. : Effect on plate frequencies of local wood removal from violin plates suported at the edges. In: Journal of the Catgut Acoustical Society 2,1(8), 7-11, 1991.
114. Rossing, T. D. : Plate vibrations and applications to guitars. In: Journal of Guitar Acoustics, 6, 65-73, 1984.
115. Rossing, T. D. & Fletcher, N. H. : Nonlinear vibrations in plates and gongs. In: Journal of the Acoustical Society of America 73, 345,351, 1983.
116. Rossing, T. D., Popp, J. & Polstein, D. :Acoustical response of guitars. In: Proceedings of the Stockholm Musical Acoustics Conference 1983. Royal Swedish Academy of Music Stockholm, 311-332, 1985.
117. Schelleng, J. C. : The bowed string and the player. In: Journal of the Acoustical Society of America 53, 26-41, 1973.
118. Schneider, A. : Tonhöhe, Skala, Klang. Bonn 1997.
119. Schneider, A. : "Verschmelzung", Tonal Fusion, and Consonance: Carl Stumpf Revisited. In: Music, Gestalt, Computing. M. Leman (ed. ). Springer 1997.
120. Schumacher, R. T. & Woodhouse, J. : The transient behaviour of models of bowed-string motion. In: Chaos 5, 509-523, 1995.
121. Schumacher, R. T. & Woodhouse, J. : Computer modelling of violin playing. In: Contemporary Physics 36, 79-92, 1995.
122. Skudrzyk, E. : Die Grundlagen der Akustik. Springer Verlag, Wien 1954.
123. Stelzmann, U., Groth, C. & Müller, G. : FEM für Praktiker-Band 2: Strukturdynamik. expert-verlag, 2. Auflage, 2001.
124. Stetson, K. A. : On Modal coupling in string instrument bodies. In: Journal of Guitar Aocustics, 3, 23-31, 1981.
125. Stumpf, C. : Tonspychologie. Teil 1. Nachdruck 1965, 1883.
126. Szwerc, R. P. : Power flow in coupled bending and longitudinal waves in beams. In: JASA 107, 6 2000, p. 3186-95.
127. Tietze & Schenk: Halbleiter-Schaltungselektronik. Berlin, NY, Springer, 2000.
128. Tinnsten, M. & Carlsson, P. : Numerical Optimization of Violin Top Plates. In: Acta Acustica United with Acustica, 88, 278-285, 2002.
129. Tolonen, T., Välimäki, V & Karjalainen, M. : Evaluation of Modern Sound Synthesis Methods. Report 48, Helsinki University of Technology. 1998.
130. Touzé, C. & Chaigne, A. : Lyapunov Exponents from Experimental Time Series: Application to Cymbal Vibrations. In: Acustica, 86, 557-567, 2000.
131. Tsai, C. G. : Relating the harmonic-rich sound of the Chinese flute (dizi) to the cubic non-linearity of its membrane. In: Proceedings of the Stockholm Musical Acoustics Conference 2003, 303-306, 2003.
132. Urbakh, M., Klafter, J., Gourdon, D. & Israelachvili, J. : The nonlinear nature of friction. In: Nature, Vol 430, 525-28.
133. Vössing, H. & Kummer, J. : Beobachtung von Periodenverdopplung und Chaos bei der Trompete. In: Fortschritte der Akustik 916-9, 1993.
134. Wagner, K. W. : Einführung in die Lehre von den Schwingungen und Wellen. Wiesbaden, 1947.
135. Wilden, I., Herzel, H. Peters, G. & Ternbrock G. : Subharmonics, Biphonation and Deterministic Chaos in Mammal Vocalization In: Bioacoustics 9, 171-96, 1998.
136. Wolfram, S. : A new kind of Science. Wolfram Media Inc. 2002.
137. Woodhouse, J. & Loach, A. R. : The torsional behaviour of cello strings. In: Acustica-acta acustica 85, 734-740, 1999.
138. Woodhouse, J., Schumacher, R. T. & Garoff, S. : Reconstruction of bowing point friction force in a bowed string. In: Journal of the Acoustica Socitey of America 108, 357-368, 2000.
139. Woodhouse, J. : Bowed String Simulation Using a Thermal Friction Model. In: Acta Acustica United with Acustica 89, 355-368, 2003.
140. Woodhouse, J. :The Transient Behaviour of Guitar Strings. In: Proceedings of Stockholm Musical Acoustics Conference 2003, 137-140, 2003.
141. Woodhouse, J. : Plucked Guitar Transients: Comparison of Measurements and Synthesis. In: Acustica 90/5, 945,965, 2004.
142. Wriggers, P. : Nichtlineare Finite-Element-Methoden. Springer 2001.
143. Wriggers, P. : Computational Contact Mechanics. John Wiley & Sons, 2002.
144. Zimmermann, K. : Nichtlineare Theorien von Membranen und deren Berechnung nach einer Finite-Differenzen-Energie-Methode. Sonderforschungsbericht 64, Weitgespannte Fläch entragwerke, Mitteilung 76/1985, Institut für Mechanik (Bauwesen), Uni Stuttgart, 1985.