Wang Shuping, Yang Ziyi, Tao Jiancheng, Qiu Xiaojun, Burnett Ian S
Centre for Audio, Acoustics and Vibration, Faculty of Engineering and Information Technology, University of Technology Sydney, 32-34 Lord Street, Botany 2019, Australia.
Key Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, 22 Hankou Road, Nanjing 210093, China.
J Acoust Soc Am. 2023 Jan;153(1):224. doi: 10.1121/10.0016819.
An analytical model is proposed for sound transmission through a slit on a rigid ground based on the modal superposition method to investigate the transmission loss (TL). A simple formula is derived for estimation of the TL for plane waves with and without the ground, which gives a more precise prediction than existing approaches. It is found that a larger slit height generally decreases the TL, except at the resonant frequencies of the slit. The slit width has little effect on the TL at high frequencies, and the slit depth affects the resonant frequencies significantly even though it has little effect on the overall TL. Compared with the same size slit in the free field, the rigid ground reduces the TL at most frequencies, and that reduction is a constant between 3 and 9 dB in the low frequency range. It is also found that the sound transmitted through the slit is almost omnidirectional at low frequencies, while most of the sound energy at high frequencies falls within the range where the long side of the slit is located. The experimental results demonstrate the validity of the analytical model and the findings in numerical simulations.
基于模态叠加法，提出了一种用于研究刚性地面上狭缝声传播的解析模型，以研究传输损失（TL）。推导了一个简单的公式，用于估计有无地面时平面波的传输损失，该公式比现有方法给出了更精确的预测。研究发现，除了在狭缝的共振频率处，较大的狭缝高度通常会降低传输损失。狭缝宽度在高频时对传输损失影响很小，狭缝深度对共振频率有显著影响，尽管它对整体传输损失影响很小。与自由场中相同尺寸的狭缝相比，刚性地面在大多数频率下都会降低传输损失，并且在低频范围内，这种降低在3至9分贝之间是一个常数。还发现，通过狭缝传输的声音在低频时几乎是全向的，而高频时的大部分声能落在狭缝长边所在的范围内。实验结果证明了解析模型的有效性以及数值模拟中的发现。
