#6745. Nonlinear dynamics of the wolf tone production

January 2027publication date
Proposal available till 25-05-2025
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Journal’s subject area:
Acoustics and Ultrasonics;
Mechanical Engineering;
Condensed Matter Physics;
Mechanics of Materials;
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More details about the manuscript: Arts & Humanities Citation Index or/and Science Citation Index Expanded
Abstract:
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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