本文根据气动声学模拟的理论给出了描述螺桨飞机离散声场的数学物理模型的改进,包括考虑飞机机身边界对螺桨辐射声场的影响,以及多个螺桨辐射声场之间的干涉机制,计算结果可以解释螺桨飞机机身对螺桨声场的影响,“噪声拍打”现象和螺桨精确相位锁定技术的降噪机理,考虑任意形状边界影响的模型也可用于刚性边界对任意谐波声场影响的计算,对平面谐波声场中刚性球的声散射计算结果与经典级数解相比较得到满意的吻合。 Based on the theory of aeroacoustic simulation, this paper presents an improvement of the mathematical physics model describing the discrete sound field of a propeller aircraft, including the influence of aircraft fuselage boundary on propeller sound field and the interference mechanism of propeller sound field. The calculation results can explain the effect of propeller aircraft fuselage on propeller sound field, the phenomenon of “noise flapping” and the noise reduction mechanism of propeller accurate phase locking technique, and the model considering the effect of arbitrary shape boundary can also be used for rigid boundary to any harmonic sound field The results show that the calculated results of the acoustic scattering of the rigid sphere in the planar harmonic acoustic field are in good agreement with the classical series solution.