An effective design is proposed to solve the design of acoustical treatemnts in enclosures at low frequencies, especially below the Schroeder frequency. In this paper, the boundary element method is used to predict the sound field of acoustical systems. The Sequential Quadratic Programming is selected as the continuous design variable optimizer, and the Branch and Bound method is used to treat the non-continuous design variable. A two-dimensional rectangular cavity is demonstrated. The general agreement between this paper and previous work [Berhard and Takeo, J. Acoust. Soc. Am. 83 (6)] is considered good enough for the proposed tool to be used for preliminary design studies of acoustical treatments in enclosures.
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