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Article Dans Une Revue Journal of Sound and Vibration Année : 2022

Nonlinear dynamics of the wolf tone production

Résumé

Some bowed string instruments such as cello or viola are prone to a parasite phenomenon called the wolf tone that gives rise to an undesired warbling sound. It is now accepted that this phenomenon is mainly due to an interaction between a resonance of the body and the motion of the string. A simple model of bowed string instrument consisting of a linear string with a mass-spring boundary condition (modeling the body of the instrument) and excited by Coulomb friction is presented. The eigenproblem analysis shows the presence of a frequency veering phenomenon close to 1 : 1 resonance between the string and the body, giving rise to modal hybridation. Due to the piecewise nature of Coulomb friction, the periodic solutions are computed and continued using a mapping procedure. The analysis of classical as well as non-smooth bifurcations allows us to relate warbling oscillations to the loss of stability of periodic solutions. Finally, a link is made between the bifurcations of periodic solutions and the minimum bow force generally used to explain the appearance of the wolf tone.
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Dates et versions

hal-03558843 , version 1 (09-03-2022)

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Etienne Gourc, Christophe Vergez, Pierre-Olivier Mattei, Samy Missoum. Nonlinear dynamics of the wolf tone production. Journal of Sound and Vibration, 2022, 516, pp.116463. ⟨10.1016/j.jsv.2021.116463⟩. ⟨hal-03558843⟩
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