Topology optimization for a frequency response and its application to a violin bridge

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The main role of a violin bridge is to hold the strings and to transmit the vibration of the strings to the violin body. Violin makers have been empirically aware of the fact that a bridge is an important element which influences violin timbre. Thus, a bridge can be regarded as a mechanical filter in the transmission and be used to compensate weak or too strong areas in the resonance of the violin body. The filtering characteristics of a bridge depend on the geometry and material distribution of the bridge. In this paper, the sensitivity of band-averaged frequency response with respect to geometric design variables is derived. Then, topology optimization is applied to obtain optimal violin bridges for desired filtering characteristics. Numerical results show that the proposed optimization process can be a viable tool to design a bridge according to prescribed characteristics for musical performance.
Publisher
SPRINGER
Issue Date
2013-09
Language
English
Article Type
Article
Keywords

DESIGN SPACE ADJUSTMENT; STRUCTURAL TOPOLOGY; REDUCTION

Citation

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v.48, no.3, pp.627 - 636

ISSN
1615-147X
DOI
10.1007/s00158-013-0907-8
URI
http://hdl.handle.net/10203/189958
Appears in Collection
GT-Journal Papers(저널논문)ME-Journal Papers(저널논문)
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