Projects per year
Abstract
Lossy linear stiff string vibration plays an important role in musical acoustics. Experimental studies have demonstrated the complex dependence of decay time with frequency, confirmed bydetailed modelling of dissipated power in linear strings. Losses at a particular frequency canbe expressed as a function of the physical parameters defining the system; damping due toair viscosity is predominant at low frequencies, whereas internal friction prevails in the higherfrequency range. Such a frequency domain characterisation is clearly well-suited to simulationmethods based on, e.g., modal decompositions, for experimental comparison or sound synthesis.However, more general string models might include features difficult to realise with such models,in particular nonlinear effects. In this case, it is useful to approach modelling directly in thespace-time domain. This work is concerned with the translation of the frequency domain damping characteristics to a space-time domain framework, leading, ultimately, to a coupled system ofpartial differential equations. Such a system can be used as a starting point for a time-steppingalgorithm; an important constraint to ensure numerical stability is then that of passivity, or dissipativity. Candidate loss terms are characterised in terms of positive real functions, as a startingpoint for optimisation procedures. Simulation results are presented for a variety of linear strings.
Original language | English |
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Title of host publication | Proceedings of the 22nd International Congress on Acoustics |
Number of pages | 10 |
Publication status | Published - 5 Sept 2016 |
Keywords / Materials (for Non-textual outputs)
- physical modelling
- sound synthesis
- finite difference
- passive systems
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Dive into the research topics of 'Improved frequency-dependent damping for time domain modelling of linear string vibration'. Together they form a unique fingerprint.Projects
- 2 Finished
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Real-time sound synthesis of impacted string instruments with sophisticated nonlinear contact laws
30/03/15 → 29/03/17
Project: Research
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NESS - Listening to the future: Next-generation Sound Synthesis through Simulation
1/01/12 → 31/12/16
Project: Research