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Tonal optimization of bells utilizing evolutionary shape optimization
DOI:10.1016/j.jsv.2021.116233.png)
Abstract
En 中文
This study proposes a robust and effective evolutionary shape optimization methodology for bell design. Axisymmetric bell profiles are defined within a 2D-half-cross-sectional design space, from which a 3D finite element model is constructed. An objective function is formulated in terms of a desired tuning spectrum and evaluated through a modal analysis. A pseudo-velocity of the boundary profile is derived via a sensitivity analysis and is used to iteratively evolve the design and minimize the tuning error. A series of computational design examples are provided demonstrating effective tuning of up to twelve partial frequencies simultaneously with tuning accuracy equal to or improved with respect to hand-tuned bell data in current literature. Finally, the proposed method is experimentally validated through fabrication of a prototype bell which exhibits close correlation of partial frequencies with its computational model.
Keywords:
Shape optimization
Bell tuning
Frequency optimization
Sensitivity analysis
Experimental validation
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