Design sensitivity analysis of acoustical damping and its application to design of musical bells

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Damping characteristics of a musical bell plays an important role in characterizing the musical sound. The total damping consists of acoustical damping and internal damping. Acoustical damping depends upon resonating frequencies and vibration patterns while internal damping is a material property. The acoustical damping of a vibrating structure is formulated via boundary element method and finite element method using eigenmode decomposition. The design sensitivity of acoustical damping is derived using an adjoint variable method of the eigenvalue problem. Design optimization of a musical bell is then performed in terms of acoustical parameters. The goal of the optimization problem is to design a harmonically tuned bell with given acoustical damping values. The proposed automated design process integrates finite element analysis, boundary element analysis, design sensitivity analysis, mode-tracking algorithm and optimization module, seamlessly. It is demonstrated by numerical examples to show practical applications.
Publisher
SPRINGER
Issue Date
2011-09
Language
English
Article Type
Article
Keywords

STRUCTURAL OPTIMIZATION; TOPOLOGY OPTIMIZATION; RADIATION MODES; EIGENVECTORS; SOUND; EIGENVALUES

Citation

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v.44, no.3, pp.421 - 430

ISSN
1615-147X
URI
http://hdl.handle.net/10203/95619
Appears in Collection
ME-Journal Papers(저널논문)
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