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(a) Schematic of measurement setup; (b) images of setup; (c) comparison of measured and theoretical pressure reflection coefficient; the theoretical curve is also confirmed with FEM. (d) The effect of manufacturing deficiencies on the reflection coefficient. Each radius is a random variable following a normal distribution with a mean of the optimized radius and a standard deviation of one-sixth of the manufacturing tolerance. Tolerance of the reflection coefficient is set to be six standard deviations. The lower bound of tolerance interval is less than zero and not shown, only the mean and upper bound are shown.
FROM:
Hao Dong, Yong Shen and Hao Gao (Key Laboratory of Modern Acoustics (MOE), Institute of Acoustics, Nanjing University, Nanjing, China),
“Shape optimization of acoustic horns using the multimodal method”, The Journal of the Acoustical Society of America 147(4), EL326 (April 2020); https://doi.org/10.1121/10.0001037
ABSTRACT: This paper presents a method for the shape optimization of an acoustic horn with respect to the impedance matching property based on the discrete multimodal method. The method models the horn as a series of short cylinders and takes mode coupling across the discontinuities into account. The optimization employs a gradient-based algorithm, and allows for analytical derivation of the objective function and its gradient in a numerically workable manner. A case study followed with an experimental validation is presented. With appropriate parameter settings, the method is capable of rapidly finding a smooth and convex horn design that behaves like a high-pass radiator with near-ideal wideband transmission in small dimensions.
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