A predictive model for the adjustment of violin bows
Résumé
The quality of a violin bow is generally thought to be essentially determined by the wood used to make the stick. However, skilled bow makers are able to ameliorate the playing properties of a bow by finely adjusting its tapering and camber. This study aims at a better understanding of the link between the adjustment and the mechanical behavior of a bow. A finite element model of a bow is developed. The stick as well as the hair are modeled with beam elements. A co-rotational formulation is adopted to allow for geometric nonlinearity. The model is used to analyze the static behavior of a bow subjected to modifications of camber. One result is that increasing camber favors a high hair tension, which also diminishes the lateral bending stiffness of the stick.
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