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Digital Synthesis of Sound Generated by Tibetan Bowls and Bells

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to present methods of digitally synthesising the sound generated by vibroacoustic systems with distributed parameters. A general algorithm was developed to synthesise the sounds of selected musical instruments with an axisymmetrical shape and impact excitation, i.e., Tibetan bowls and bells. A coupled mechanical-acoustic field described by partial differential equations was discretized by using the Finite Element Method (FEM) implemented in the ANSYS package. The presented synthesis method is original due to the fact that the determination of the system response in the time domain to the pulse (impact) excitation is based on the numerical calculation of the convolution of the forcing function and impulse response of the system. This was calculated as an inverse Fourier transform of the system’s spectral transfer function. The synthesiser allows for obtaining a sound signal with the assumed, expected parameters by tuning the resonance frequencies which exist in the spectrum of the generated sound. This is accomplished, basing on the Design of Experiment (DOE) theory, by creating a meta-model which contains information on its response surfaces regarding the influence of the design parameters. The synthesis resulted in a sound pressure signal in selected points in space surrounding the instrument which is consistent with the signal generated by the actual instruments, and the results obtained can improve them.
Rocznik
Strony
139--150
Opis fizyczny
Bibliogr. 32 poz., rys., tab., wykr.
Twórcy
autor
  • Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Kraków, Poland
autor
  • Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Kraków, Poland
Bibliografia
  • 1. Bilbao S. (2009), Numerical sound synthesis: Finite Difference Schemes and Simulation in Musical Acoustics, Wiley.
  • 2. Brzeski P., Kapitaniaka T., Perlikowski P. (2015), Experimental verification of a hybrid dynamical model of the church bell, International Journal of Impact Engineering, 80, 177–184.
  • 3. Budzyński G., Sankiewicz M. (2000), New Timbre of St. Catherine’s Carillon, Archives of Acoustics, 25, 2, 147–155.
  • 4. Cadoz C., Luciani A., Florens J. L. (1983), Responsive input devices and sound synthesis by simulation of instrumental mechanisms, Computer Music Journal, 8, 3, 60–73.
  • 5. Chih-Wei W., Chih-Fang H., Yi-Wen L. (2013), Sound analysis and synthesis of Marquis Yi of Zeng’s chime-bell set, The Journal of the Acoustical Society of America, 133, 5, 3590.
  • 6. Czyżewski A., Jaroszuk J., Kostek B. (2002), Digital waveguide models of the panpipes, Archives of Acoustics, 27, 4, 303–317.
  • 7. Czyżewski A., Kostek B., Zieliński S. (1996), Synthesis of organ pipe sound based on simplified physical models, Archives of Acoustics, 21, 2, 131–147.
  • 8. Dobrucki A., Bolejko R. (2006), FEM and BEM computing costs for acoustical problems, Archives of Acoustics, 31, 2, 193–212.
  • 9. Fauvel J., Flood R., Wilson R. J. (2006), Music and Mathematics: From Pythagoras to Fractals, Oxford University Press.
  • 10. Filipek R., Wiciak J. (2005), Sound radiation of beam with shunted piezoceramics, Archives of Acoustics, 30, 4, 39–43.
  • 11. Filipek R. (2013), FEM application for synthesis of coupled vibroacoustic fields in a system with impulse excitation [in Polish: Zastosowanie MES do syntezy wibroakustycznych pól sprzężonych w układach o wymuszeniu impulsowym], PhD Thesis, AGH University of Science and Technology.
  • 12. Filipek R., Wiciak J. (2008), Active and passive structural acoustic control of the smart beam, The European Physical Journal – Special Topics, 154, 1, 57–63.
  • 13. Fletcher N. H., Rossing T. D. (1998), The Physics of Musical Instruments, Springer.
  • 14. Fletcher N. H., McGee W. T., Tarnopolsky A. Z. (2002), Bell clapper impact dynamics and the voicing of a carillon, J. Acoust. Soc. Am., 111, 3, 1437–1444.
  • 15. Gołaś A., Filipek R. (2009), Numerical Simulation for the Bell Directivity Pattern Determination, Archives of Acoustics, 34, 4, 407–419.
  • 16. Gołaś A. (1995), Computer methods in room and environmental acoustics [in Polish: Metody komputerowe w akustyce wnętrz i środowiska, Wydawnictwa AGH.
  • 17. Inácio O., Henrique L. L., Antunes J. (2006), The Dynamics of Tibetan Singing Bowls, Acta Acoustica United with Acoustica, 92, 637–653.
  • 18. Jiju A. (2014), Design of Experiments for Engineers and Scientists, Elsevier, London.
  • 19. Lehr A. (1987), A Carillon of Major-Third Bells, III. From Theory to Practice, Music Perception, 4, 267–280.
  • 20. Lots I. S., Stone L. (2008), Perception of musical consonance and dissonance: an outcome of neural synchronization, J. R. Soc. Interface, 5, 1429–1434.
  • 21. McLachlan N., Keramati N. B. (2003), The design of bells with harmonic overtones, J. Acoust. Soc. Am., 114, 505–511.
  • 22. Mańczak K. (1979), Methods for identifying the multidimensional control objects [in Polish: Metody identyfikacji wielowymiarowych obiektów sterowania], Wydawnictwa Naukowo-Techniczne, Warszawa.
  • 23. Myers R., Montgomery D. (2004), Response surface methodology: A retrospective and literature survey, Journal of Quality Technology, 36, 1, 53–77.
  • 24. Nowak Ł. J., Zieliński T.G. (2015), Determination of the Free-Field Acoustic Radiation Characteristics of the Vibrating Plate Structures With Arbitrary Boundary Conditions, Journal of Vibration and Acoustic, 137, 051001.
  • 25. Ren Z., Yeh H., Lin M. C. (2013), Example-guided Physically Based Modal Sound Synthesis, ACM Trans. Graph., 31, 1, 1–16.
  • 26. Rdzanek W. P. (2011), Structural vibroacoustics of surface elements [in Polish:Wibroakustyka strukturalna elementów powierzchniowych], Wydawnictwo Uniwersytetu Rzeszowskiego.
  • 27. Rossing T. D. [Ed.], (2007), Springer Handbook of Acoustics, Springer Science & Business Media, LLC New York.
  • 28. Smith J. O. III (1992), Physical Modeling using Digital Waveguides, Computer Music Journal, 16, 4, 74–91.
  • 29. Sankiewicz M., Kaczmarek A., Budzyński G. (1994), Acoustic Investigation of the Carillons in Poland, Archives of Acoustics, 19, 3, 333–353.
  • 30. Terwagne D., Bush J. W. (2011), Tibetan singing bowls, Nonlinearity, 24, 51–66.
  • 31. Zieliński T. P. (2005), Digital signal processing [in Polish: Cyfrowe przetwarzanie sygnałów], Wydawnictwa Komunikacji i Łączności, Warszawa.
  • 32. Zienkiewicz O. C., Taylor R. L. (2000), The Finite Element Method, 5th Ed., Butterworth-Heinemann, Oxford.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ab2bf8b8-1a68-4954-88da-22aa94038d81
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