%0 Journal Article
%T Nonsmooth contact dynamics for the numerical simulation of collisions in musical string instruments
%+ Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219)
%+ Lutheries - Acoustique - Musique (IJLRDA-LAM)
%+ Modélisation, simulation et commande des systèmes dynamiques non lisses  (TRIPOP )
%+ Laboratoire Jean Kuntzmann  (LJK )
%A Issanchou, Clara
%A Acary, Vincent
%A Pérignon, Franck
%A Touzé, Cyril
%A Le Carrou, Jean-Loic
%< avec comité de lecture
%@ 0001-4966
%J Journal of the Acoustical Society of America
%I Acoustical Society of America
%V 143
%N 5
%P 1-13
%8 2018-05-31
%D 2018
%R 10.1121/1.5039740
%Z Mathematics [math]/Numerical Analysis [math.NA]
%Z Engineering Sciences [physics]
%Z Engineering Sciences [physics]/Acoustics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]Journal articles
%X Collisions in musical string instruments play a fundamental role in explaining the sound production in various instruments such as sitars, tanpuras and electric basses. Contacts occuring during the vibration provide a nonlinear effect which shapes a specific tone due to energy transfers and enriches the hearing experience. As such, they must be carefully simulated for the purpose of physically-based sound synthesis. Most of the numerical methods presented in the literature rely on a compliant modeling of the contact force between the string and the obstacle. In this contribution, numerical methods from nonsmooth contact dynamics are used to integrate the problem in time. A Moreau-Jean time-stepping scheme is combined with an exact scheme for phases with no contact, thus controlling the numerical dispersion. Results for a two-point bridge mimicking a tanpura and an electric bass are presented, showing the ability of the method to deal efficiently with such problems while invoking, as compared to a compliant approach, less modelling parameters and a reduced computational burden.
%G English
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01806133v2/document
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01806133v2/file/2018_NonsmoothStringHAL.pdf
%L hal-01806133
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01806133
%~ CEA
%~ ENSTA
%~ UGA
%~ CNRS
%~ INRIA
%~ INPG
%~ INRIA-RHA
%~ IRISA
%~ INSMI
%~ INRIA_TEST
%~ LJK
%~ LJK_MAD
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%~ ENSTA-SACLAY
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%~ INRIA-300009
%~ LJK-MAD-TRIPOP
%~ SORBONNE-UNIVERSITE
%~ SORBONNE-UNIV
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%~ UGA-COMUE
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%~ INRIAARTDOI