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 wellsuited 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 thespacetime domain. This work is concerned with the translation of the frequency domain damping characteristics to a spacetime domain framework, leading, ultimately, to a coupled system ofpartial differential equations. Such a system can be used as a starting point for a timesteppingalgorithm; 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 

Title of host publication  Proceedings of the 22nd International Congress on Acoustics 
Number of pages  10 
Publication status  Published  5 Sep 2016 
Keywords
 physical modelling
 sound synthesis
 finite difference
 passive systems
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Projects
 2 Finished

Realtime sound synthesis of impacted string instruments with sophisticated nonlinear contact laws
30/03/15 → 29/03/17
Project: Research

NESS  Listening to the future: Nextgeneration Sound Synthesis through Simulation
1/01/12 → 31/12/16
Project: Research