Show simple item record

dc.contributor.advisorBilbao, Stefan
dc.contributor.advisorTouzé, Cyril
dc.contributor.authorTorin, Alberto
dc.date.accessioned2018-05-30T15:41:37Z
dc.date.available2018-05-30T15:41:37Z
dc.date.issued2016-06-25
dc.identifier.urihttp://hdl.handle.net/1842/31029
dc.description.abstractThis 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.sponsorEuropean Commissionen
dc.language.isoenen
dc.publisherThe University of Edinburghen
dc.relation.hasversionAlberto 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, 2013en
dc.relation.hasversionStefan 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.hasversionAlberto 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, 2013en
dc.relation.hasversionStefan 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.hasversionAlberto 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.hasversionAlberto 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.hasversionStefan 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.hasversionBrian 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.hasversionAlberto 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.hasversionJames Perry, Stefan Bilbao, and Alberto Torin. Hierarchical parallelism in a physical modelling synthesis code. In ParCo Conference, Edinburgh, UK, 2015.en
dc.relation.hasversionStefan 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.hasversionStefan 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.subjectpercussion instrumentsen
dc.subjectsound synthesisen
dc.subject3D simulationen
dc.subjectacousticsen
dc.subjectFDTDen
dc.subjectfinite difference time domainen
dc.titlePercussion instrument modelling In 3D: sound synthesis through time domain numerical simulationen
dc.typeThesis or Dissertationen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhD Doctor of Philosophyen


Files in this item

This item appears in the following Collection(s)

Show simple item record