dc.contributor.advisor | Bilbao, Stefan | en |
dc.contributor.advisor | Touzé, Cyril | en |
dc.contributor.author | Torin, Alberto | en |
dc.date.accessioned | 2018-05-30T15:41:37Z | |
dc.date.available | 2018-05-30T15:41:37Z | |
dc.date.issued | 2016-06-25 | |
dc.identifier.uri | http://hdl.handle.net/1842/31029 | |
dc.description.abstract | This work is concerned with the numerical simulation of percussion instruments based on physical
principles. Three novel modular environments for sound synthesis are presented: a system
composed of various plates vibrating under nonlinear conditions, a model for a nonlinear double
membrane drum and a snare drum. All are embedded in a 3D acoustic environment. The approach
adopted is based on the finite difference method, and extends recent results in the field.
Starting from simple models, the modular instruments can be created by combining different
components in order to obtain virtual environments with increasing complexity. The resulting
numerical codes can be used by composers and musicians to create music by specifying the
parameters and a score for the systems. Stability is a major concern in numerical simulation.
In this work, energy techniques are employed in order to guarantee the stability of the numerical
schemes for the virtual instruments, by imposing suitable coupling conditions between the
various components of the system.
Before presenting the virtual instruments, the various components are individually analysed.
Plates are the main elements of the multiple plate system, and they represent the first approximation
to the simulation of gongs and cymbals. Similarly to plates, membranes are important
in the simulation of drums. Linear and nonlinear plate/membrane vibration is thus the starting
point of this work. An important aspect of percussion instruments is the modelling of collisions.
A novel approach based on penalty methods is adopted here to describe lumped collisions with
a mallet and distributed collisions with a string in the case of a membrane. Another point
discussed in the present work is the coupling between 2D structures like plates and membranes
with the 3D acoustic field, in order to obtain an integrated system. It is demonstrated how
the air coupling can be implemented when nonlinearities and collisions are present. Finally,
some attention is devoted to the experimental validation of the numerical simulation in the
case of tom tom drums. Preliminary results comparing different types of nonlinear models for
membrane vibration are presented. | en |
dc.contributor.sponsor | European Commission | en |
dc.language.iso | en | |
dc.publisher | The University of Edinburgh | en |
dc.relation.hasversion | Alberto Torin and Stefan Bilbao. Numerical experiments with non-linear double membrane drums. In Proceedings of the Stockholm Music Acoustics Conference 2013, SMAC 2013, Stockholm, Sweden, 2013 | en |
dc.relation.hasversion | Stefan Bilbao, Brian Hamilton, Alberto Torin, Craig Webb, Paul Graham, Alan Gray, Kostas Kavoussanakis, and James Perry. Large scale physical modeling sound synthesis. In Proc. 4th Stockholm Musical Acoustics Conference (SMAC 2013), Stockholm, Sweden, 2013. | en |
dc.relation.hasversion | Alberto Torin and Stefan Bilbao. A 3D Multi-Plate environment for sound synthesis. In Proc. of the 16th Int. Conference on Digital Audio E ects (DAFx-13), Maynooth, Ireland, 2013 | en |
dc.relation.hasversion | Stefan Bilbao, Alberto Torin, Paul Graham, James Perry, and Gordon Delap. Modular physical modeling synthesis environments on GPU. In Proc. 2014 International Computer Music Conference, Athens, Greece, 2014. | en |
dc.relation.hasversion | Alberto Torin and Michael Newton. Collisions in drum membranes: a preliminary study on a simplified system. In Proc. of the Int. Symposium on Musical Acoustics (ISMA 2014), Le Mans, France, 2014. | en |
dc.relation.hasversion | Alberto Torin and Michael Newton. Nonlinear effects in drum membranes. In Proc. of the Int. Symposium on Musical Acoustics (ISMA 2014), Le Mans, France, 2014. | en |
dc.relation.hasversion | Stefan Bilbao and Alberto Torin. Numerical simulation of string/barrier collisions: The fretboard. In Proc. of the 17th Int. Conference on Digital Audio Effects (DAFx 14), Erlangen, Germany, 2014. | en |
dc.relation.hasversion | Brian Hamilton and Alberto Torin. Finite difference schemes on hexagonal grids for thin linear plates with finite volume boundaries. In Proc. of the 17th Int. Conference on Digital Audio Effects (DAFx 14), Erlangen, Germany, 2014. | en |
dc.relation.hasversion | Alberto Torin, Brian Hamilton, and Stefan Bilbao. An energy conserving finite difference scheme for the simulation of collisions in snare drums. In Proc. of the 17th Int. Conference on Digital Audio Effects (DAFx 14), Erlangen, Germany, 2014. | en |
dc.relation.hasversion | James Perry, Stefan Bilbao, and Alberto Torin. Hierarchical parallelism in a physical modelling synthesis code. In ParCo Conference, Edinburgh, UK, 2015. | en |
dc.relation.hasversion | Stefan Bilbao, Alberto Torin, and Vasileios Chatziioannou. Numerical modeling of collisions in musical instruments. Acta Acustica united with Acustica, 101(1):155-173, 2015. | en |
dc.relation.hasversion | Stefan Bilbao and Alberto Torin. Numerical modeling and sound synthesis for articulated string/fretboard interactions. Journal of the Audio Engineering Society, 63(5):336-347, 2015. | en |
dc.subject | percussion instruments | en |
dc.subject | sound synthesis | en |
dc.subject | 3D simulation | en |
dc.subject | acoustics | en |
dc.subject | FDTD | en |
dc.subject | finite difference time domain | en |
dc.title | Percussion instrument modelling In 3D: sound synthesis through time domain numerical simulation | en |
dc.type | Thesis or Dissertation | en |
dc.type.qualificationlevel | Doctoral | en |
dc.type.qualificationname | PhD Doctor of Philosophy | en |