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Structural Analysis and Optimization of Bells Using Finite Elements

Structural Analysis and Optimization of Bells Using Finite Elements This paper deals with the structural analysis and shape optimization of bells. Using modal analysis it is possible to reconstruct the dynamic behavior of the bell by superposition of the excited eigenmodes. An examination of the nodal participation reveals that only a few of these modes are importance to the perceived sound the bell makes. From such consideration, tuning of bells is usually carried out by ensuring that the ratios of the first seven main frequencies (or partials) are in the correct proportions. Frequencies are determined using linear, quadratic and cubic, variable thickness, C (0) continuity, Mindlin-Reissner axisymmetric finite elements. The objective of shape optimization is to ensure that the ratios of the first seven main frequencies of bells are in the correct proportions. Several examples are included to illustrate the application of the analysis and optimization algorithm to the bells. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of New Music Research Taylor & Francis

Structural Analysis and Optimization of Bells Using Finite Elements

Journal of New Music Research , Volume 33 (1): 9 – Mar 1, 2004
10 pages

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References (9)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1744-5027
eISSN
0929-8215
DOI
10.1076/jnmr.33.1.61.35392
Publisher site
See Article on Publisher Site

Abstract

This paper deals with the structural analysis and shape optimization of bells. Using modal analysis it is possible to reconstruct the dynamic behavior of the bell by superposition of the excited eigenmodes. An examination of the nodal participation reveals that only a few of these modes are importance to the perceived sound the bell makes. From such consideration, tuning of bells is usually carried out by ensuring that the ratios of the first seven main frequencies (or partials) are in the correct proportions. Frequencies are determined using linear, quadratic and cubic, variable thickness, C (0) continuity, Mindlin-Reissner axisymmetric finite elements. The objective of shape optimization is to ensure that the ratios of the first seven main frequencies of bells are in the correct proportions. Several examples are included to illustrate the application of the analysis and optimization algorithm to the bells.

Journal

Journal of New Music ResearchTaylor & Francis

Published: Mar 1, 2004

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