计算二维矩形声腔传递矩阵及传递函数的声源模型探讨

SOURCE MODEL DISCUSSION FOR COMPUTING THE TRANSFER FUNCTION AND TRANSFER MATRIX OF TWO-DIMENSIONAL RECTANGULAR CAVITY

计算二维矩形声腔传递矩阵的点源模型已在实际工程中取得了广泛应用,但是点源模型本身的奇异性使得传递矩阵的计算不精确。首先全面分析了线声源和面声源模型的声压收敛情况,证明线源和面源可以用来计算传递矩阵。然后详细讨论了点源和面源模型计算传递函数的区别,得出结论:面源模型更适合用于二维模型计算传递矩阵,收敛更快,可以消除点源模型计算的奇异性;点源模型可以计算体积流量的传递函数,但是计算压力传递函数会引起较大误差,这时需要用到面源模型。

The point source model for calculating transfer matrix of two-dimensional rectangular cavity has been extensively used.However,the singularity characteristic of point source limits the computational accuracy for transfer matrix.Therefore,the line and face source models are both analyzed for their convergence characteristics of sound pressure,which shows that the line source and face source models can be put to use,in computation.Finally,the transfer functions of point and face source models are discussed in detail.Some conclusions are obtained: face model is the optimum for computing transfer matrix due to no singularity characteristic;point model can be used to calculate the transfer function between output and input volume flows,however,it is not appropriate for the pressure's transfer function,which can be solved by the face source model.