中文摘要：

为更好地分析旋转运动声源的声场特性并解决旋转声源建模难题，基于旋转偶极子源的声压频域模型及其解析格林函数，构建旋转源模型即克希荷夫源，且利用带有解析格林函数的克希荷夫积分方程建立声辐射模型并进行声压解析，进一步由数值仿真定性和定量分析旋转源与克希荷夫源的等价关系，并讨论其影响因素，给出相应关键参数的选择原则和依据，从而创建一种可以用于运动声辐射的解析方法。该方法可有效建立旋转源的声辐射频域模型，将克希荷夫积分方法扩展到了运动声源的声源等价和声辐射模型建立中，并在不需要任何边界条件下有效解析声场，解决旋转声场特性分析和旋转源建模难题。该方法可为低噪声旋转机械的研究设计提供理论指导。

英文摘要：

In order to analyze the characteristics of rotating sound field and solve the ghost source problem, Kirchhoff sources are established according to the pressure model and analytic green function of rotating dipole the in frequency domain. The pressure model is developed by the Kirchhoff-Helmholtz integral equation with the analytical green function and the sound field is calculated by solving the equation. The equivalent relationship between Kirchhoff source and rotating sources is estimated qualitatively and quantitatively, based on the numerical estimation result, and then the acoustical analytic method for rotating sources is obtained~ This method extends the Kirchhoff integral method to the case of the moving sound source and solves the ghost source equivalence problem without adding any extra boundary condition. This method is useful for the noise of rotating machinery in theory.