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Mechanics of the Contact Area Between a Violin Bow and a String. Part I: Reflection and Transmission Behaviour

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A detailed physical model of behaviour in the contact area between a violin bow and a string is developed and explored. The model takes into account the finite width of the bow, the bending stiffness of the string, the longitudinal bow-hair compliance and the torsional motion of the string. It is designed for implementation in an enhanced numerical simulation of the bowed-string action, the topic of two companion papers [1, 2]. This paper describes an analytical investigation of the wave reflection and transmission behaviour, when a wave on the string is incident on the bow. The predictions are compared with experimental results by Cremer [3], Lazarus and Eisenberg [4]. Comparison shows that longitudinal bow-hair compliance has a large impact on the reflection and transmission behaviour and that sensible modelling of the finite width of the bow requires modelling of the bow-hair compliance. In general, bending stiffness plays a minor role.
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Document Type: Research Article

Publication date: May 1, 1998

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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