有限平面波叠加模拟中低频混响声场的方法

针对航天器中低频声振预示中的混响声场载荷建模问题，提出在平面波中引入随机相位，通过有限平面波叠加的方法模拟混响声场载荷；并基于理论推导和数值分析研究该载荷模型的空间相关性特征及有限平面波数目的确定方法；最后基于理论分析和某太阳电池阵噪声试验数据对该建模方法的收敛性和合理性进行验证，表明其能够准确描述混响载荷的空间相关性和复杂几何特征引起的声学遮挡效应，满足航天工程应用的精度要求。

A method for modeling reverberant acoustic load with plane wave superposition in mid and low frequency ranges

With regard to the modeling of the reverberant sound field for predicting the vibro-acoustic response of spacecraft at mid and low frequencies, a modeling method based on the plane wave superposition is proposed by introducing the random phases into the waves. Theoretical deduction and numerical analysis are performed for obtaining the spatial correlation characteristics of the acoustic field and the determination of the number of plane waves. The convergence and the feasibility of the modeling method are validated through a comparison between the numerical examples and an engineering test on a solar panel. It is shown that the spatial correlation of the field and the acoustic masking effect caused by the geometrical features of the spacecraft load is well predicted by this modeling method within a required precision range.