小阻尼界面房间声传输函数和声脉冲响应函数的有限元素法

有限元法可用于以声波动方程为基础通过数值计算求解室内声场，适用于分析界面阻抗非均匀分布和复杂形状房间内声场的低频特性。本文首先介绍了小阻尼界面条件下室内声场简正方式、声衰变系数、混响时间的ＦＥＭ计算方法。在此基础上导出了房间内两点之间声传输函数和声脉冲响应函数的ＦＥＭ计算模型，并以矩形房间为例详细讨论了有关细节。本文所讨论的计算模型可以映房间内不同的声源点，接收点位置上的声压频谱特性和脉冲响应的时

A finite element method for calculating the acoustic transmission function and the acoustic impulse response in a lightly damped room

Finite Element Method is a useful tool in the analysis of low-frequency room acoustic phenomenon where the true wave nature of sound must be accurately modeled. The acoustic finite element equation for lightly damped rooms which was developed by A. Craggs1.2] is listed in the first part of this paper .In the later part FEM is extended to calculate acoustic transmission function between two points, and also the acoustic impulse response. It is shown that the computer model successfully predicts the effects of the different source-receiver locations on amplitude-frequency spectrum. Also the model solution method does capture the effects of direct sound and the reflections. As an example, a full three-dimensional rectangular room has been modeled with details.