A Simplified Formula for Calculating the Acoustic Power Radiated by Planar Structures

Yu Du, Jun Zhang
2013 International Journal of Acoustics and Vibration  
Based on the wave number transform, the sound power radiated by a planar structure embedded in a baffle can be derived theoretically as a double integral within the range of supersonic wave numbers. Due to the specific form of the integrand, a singularity problem is encountered at the integration boundary that leads to difficulties in evaluating the sound power directly. This technical note discusses a mathematical method for simplifying the original formula to avoid this singularity problem by
more » ... gularity problem by using a technique of substituting variables. Compared to its original counterpart, the simplified formula not only eliminates the singularity points but also converges much more rapidly when evaluating the double integrals numerically.
doi:10.20855/ijav.2013.18.2323 fatcat:2gxl3kkywjfyjcgww73xjcfnnu