Nonlinear Modeling in Time Domain Numerical Analysis of Stringed Instrument Dynamics - Publication - Bridge of Knowledge


Nonlinear Modeling in Time Domain Numerical Analysis of Stringed Instrument Dynamics


Musical instruments are very various in terms of sound quality with their timbre shaped by materials and geometry. Materials' impact is commonly treated as dominant one by musicians, while it is unclear whether it is true or not. The research proposed in the study focuses on determining influence of both these factors on sound quality based on their impact on harmonic composition. Numerical approach has been chosen to allowed independent manipulation of geometrical and material parameters as opposed to experimental study subjected to natural randomness of instrument construction. Distinctive element of this research is precise modeling of whole instrument and treating it as one big vibrating system instead of performing modal analysis on an isolated part. Finite elements model of a stringed instrument has been built and a series of nonlinear time-domain dynamic analyses were executed to obtain displacement signals and perform subsequent spectral analysis. Precision of computations seems sufficient to determine the influence of instrument's macroscopic mechanical parameters on timbre. Further research should focus on implementation of acoustic medium in attempt to include dissipation and synchronization mechanisms. Outside the musical field this kind of research could be potentially useful in noise reduction problems.


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Title of issue:
Proceedings of the IX Polish National Conference on Applied Mechanics strony 1 - 8
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Bibliographic description:
Bielski P. M., Kujawa M..: Nonlinear Modeling in Time Domain Numerical Analysis of Stringed Instrument Dynamics, W: Proceedings of the IX Polish National Conference on Applied Mechanics, 2017, ,.
Digital Object Identifier (open in new tab) 10.1063/1.4977677
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  1. A. Zoran, S. Welch and W. Hunt, A platform for manipulation and examination of the acoustic guitar: The Chameleon Guitar, Applied Acoustics 73, 338-347 (2012) open in new tab
  2. A. Ezcurra, M. J. Elajabarrieta and C. Santamaria, Fluid-structure coupling in the guitar box: numerical and experimental comparative study, Applied Acoustics 66, 411-425 (2005) open in new tab
  3. J. Torres and R. Boullosa, Influence of the bridge on the vibrations of the top plate of a classical guitar, Applied Acoustics 70, 1371-1377, (2009) open in new tab
  4. E. Becache, A. Chaigne, G. Derveaux and P. Joly, Numerical simulation of a guitar, Computers and Structures 83, 107-126 (2005) open in new tab
  5. J. Bretos, C. Santamaria and J. Alonso Moral, Finite element analysis and experimental measurements of natural eigenmodes and random responses of wooden bars used in musical instruments, Applied Acoustics 56, 141-156 (1999) open in new tab
  6. H. Helmholtz, On the Sensations of Tone as a Physiological Basis for the Theory of Music (translated by A. Ellis, Dover Publications Inc., 1954) open in new tab
  7. E. Chladni, Treatise on Acoustics (translated by R. Beyer, Springer International Publishing Switzerland, 2015) open in new tab
  8. J. Wolfe, Publications in Music Acoustics, University New South Wales,, accessed 15 June 2015 open in new tab
  9. D. Green, J. Winandy and D. Kretschmann, "Mechanical Properties of Wood" in Wood Handbook: Wood as an Engineering Material (General Technical Report FPL-GTR-113, Forest Products Laboratory, 1999), pp. 4-2:4- 23
  10. E. Meier, The Wood Database,, accessed 8 March 2015
  11. C. Jackman, M. Zampino, D. Cadge, R. Dravida, V. Katiyar and J. Lewis, Estimating acoustic performance of a cell phone speaker using ABAQUS, SIMULIA Community Conference, London, 2015 open in new tab
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