辐射体声场计算的综合Helmholtz积分公式法

提出了一种计算无界声媒质空间中任意形状辐射体辐射声场的新方法——综合Helmholtz积分公式法(Synthetic Helmholtz Integral Equation Formulation,SHIEF)。该方法将关于辐射体的内部、表面和外部Helmholtz积分方程有机地组合在一起,在已知辐射体表面法向振速的条件下,求出辐射体表面的声压分布,进而求其辐射声场分布。运用该方法计算分析了脉动球相对辐射阻抗随相对半径的变化情况,通过与理论值以及已有的其他方法(例如联立Helmholtz积分公式法(CHIEF)、超定外部Helmholtz积分公式法等)的比较,证明了该方法的正确性、准确性以及快速性,该方法有效地克服了CHIEF法和超定外部Helmholtz积分公式法的缺点。

Synthetic Helmholtz Integral Equation Formulation Method for Calculating the Radiating Acoustic Field of Arbitrary Radiator

In this paper, a new method which is SHIEF(Synthetic Helmholtz Integral Equation Formulation) for calculating acoustic field radiated by an arbitrary radiator in the unbounded space is presented. This method combines the interior, surface and exterior Helmholtz integral equation organically, and when the normal velocity of the radiator surface is known, it can calculate the acoustic pressure on the surface of the radiator. Then the radiating acoustic field exterior to the radiator is calculated. This method is used to calculate the relative impedance of the monopole versus the relative radius. By comparing with the analytical results and the existing methods(for example, the CHIEF (Combined Helmholtz Integral Equation Formulation), over determined exterior Helmholtz integral formulation), it is found that SHIEF is right, accurate and fast. Most of all, SHIEF overcomes the weakness of the CHIEF and the over determined exterior Helmholtz integral equation formulation.