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Prestressed Soundboards: Analytical Approach Using Simple Systems Including Geometric Nonlinearity

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String instruments makers introduce prestresses on soundboards by adjusting the contact between the strings and the soundboard (downbearing). The effects of these prestresses on the vibration of the soundboard are investigated analytically, using a simple system of rods (one degree of freedom) and a buckled beam under the first two modes. For these two systems, we present successively the evolution of the eigenfrequencies and the nonlinear dynamical properties (phase diagrams, backbone curves). The two main results are 1) the second order evolution of the eigenfrequencies with prestresses are in agreement with a previous numerical simulation on a soundboard with the hypothesis of static large displacements and 2) the nonlinear dynamical properties of the system are modified by prestresses, and a prestressed soundboard working with large displacements seems to be technically possible.
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Document Type: Research Article

Publication date: September 1, 2009

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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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