Abstract / Description of output
Collision modelling represents an active field of research in musical acoustics. Common examples of collisions include the hammer-string interaction in the piano, the interaction of strings with fretboards and fingers, the membrane-wire interaction in the snare drum,reed-beating effects in wind instruments, and others. At the modelling level, many current approaches make use of conservative potentials in the form of power-laws, and discretisations proposed for such models rely in all cases on iterative root-finding routines. Here, a method based on energy quadratisation of the nonlinear collision potential is proposed. It is shown that there exist a suitable discretisation of such model that may be resolved in a single iteration, whilst guaranteeing stability via energy conservation. Applications to the case of lumped as well as fully distributed systems will be given, using both finite-difference and modal methods
Original language | English |
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Pages (from-to) | 3502-3516 |
Journal | The Journal of the Acoustical Society of America |
Volume | 149 |
Issue number | 5 |
Early online date | 24 May 2021 |
DOIs | |
Publication status | Published - May 2021 |