期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 192, 期 11-12, 页码 1533-1571出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(02)00656-4
关键词
shape optimization; Helmholtz equation; adjoint equations; smoothing; acoustic horn
The shape of an acoustic horn is optimized with respect to its ability to provide impedance matching to the surrounding air. The resulting minimization problem is solved using a BFGS quasi-Newton algorithm. The wave propagation is modeled by a finite-element approximation of the Helmholtz equation, and the necessary objective-function gradient is calculated from the solution of the associated adjoint equation. Local solutions to the optimization problem, corresponding to irregular horn contours, are avoided by using a filtering technique that applies smoothing to the design updates and the gradient. The method converges fast to a smooth solution, and the resulting horn has good impedance properties throughout the entire frequency band of interest. (C) 2003 Elsevier Science B.V. All rights reserved.
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