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  • 1.
    Carlsson, Peter
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Tinnsten, Mats
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Geometrical compensation for varying material properties in bows by the use of numerical optimization2007In: Acta Acoustica united with Acustica, ISSN 1610-1928, E-ISSN 1861-9959, Vol. 93, no 1, p. 145-151Article in journal (Refereed)
    Abstract [en]

    Wood for violin bows from the pernambuco tree shows large variations in density. For high quality bows, the higher densities are preferred. Since pernambuco is rare and expensive, it is of interest to investigate if it is possible to compensate for variations in density between blanks for bows; particularly in such a way that important qualities of high quality bows are maintained in bows made of wood with a lower density. In this study, numerical optimization is used to replicate some of the static and dynamic properties of a reference bow, using wood with 10% lower density. The structural calculations of the bow are made with a finite element program (ANSYS), which is coupled to an external optimization routine. The automatic optimization process is performed using the Method of Moving Asymptotes. Included are also some remarks on how homogenous scaling of the cross section of a bow of constant length affects some of the static and dynamic properties when used as compensation for density variations.

  • 2.
    Tinnsten, Mats
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Carlsson, Peter
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Numerical optimization of violin top plates2002In: Acta Acoustica united with Acustica, ISSN 1610-1928, E-ISSN 1861-9959, Vol. 88, p. 278-285Article in journal (Refereed)
    Abstract [en]

    Wood for musical instruments exhibits large variations in the material parameters, directly influencing the properties of the vibrating structure. The objective of this study is to show that it is possible to compensate for differences in the material parameters of violin top plates by changing the distributions of plate thickness and arch height, thus keeping the eigenfrequencies unchanged. Wood has a cellular structure and is here modeled with a honeycomb model. The thickness and arch height compensation is determined through a stochastic optimization method called simulated annealing (35 refs.)

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