Collisions in double string plucked instruments: Physical modelling and sound synthesis of the viola caipira

Paiva, Guilherme Orelli; Ablitzer, Frédéric; Gautier, François; Santos, José Maria Campos dos

doi:10.1016/j.jsv.2018.11.012

Cited by 5 publications

(1 citation statement)

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“…Power-law contact forces may be applied to the case of collisions between moving distributed objects, see e.g. 40 . An interesting case is represented by the wiremembrane interaction in the snare drum.…”

Section: Case Study: the Wire-membrane Collisionmentioning

confidence: 99%

Linearly-implicit schemes for collisions in musical acoustics based on energy quadratisation

Ducceschi

Bilbao

Willemsen

et al. 2021

The Journal of the Acoustical Society of America

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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 exists a suitable discretisation of such a model that may be resolved in a single iteration, while 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.

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Section: Case Study: the Wire-membrane Collisionmentioning

confidence: 99%