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Nonlinear Modeling in Time Domain Numerical Analysis of Stringed Instrument Dynamics

Abstract

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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Details

Category:
Conference activity
Type:
materiały konferencyjne indeksowane w Web of Science
Title of issue:
Proceedings of the IX Polish National Conference on Applied Mechanics strony 1 - 8
Language:
English
Publication year:
2017
Bibliographic description:
Bielski P., 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, AIP Conference Proceedings,.
DOI:
Digital Object Identifier (open in new tab) 10.1063/1.4977677
Bibliography: test
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