Acoustic Technology, DTU Electrical Engineering, Technical University of Denmark, Elektrovej, DK-2800 Kgs. Lyngby, Denmark.
J Acoust Soc Am. 2012 Sep;132(3):1482-93. doi: 10.1121/1.4740501.
The single wall is the simplest element of concern in building acoustics, but there still remain some open questions regarding the sound insulation of this simple case. The two main reasons for this are the effects on the excitation and sound radiation of the wall when it has a finite size, and the fact that the wave field in the wall is consisting of two types of waves, namely forced waves due to the exciting acoustic field, and free bending waves due to reflections in the boundary. The aim of the present paper is to derive simple analytical formulas for the forced part of the airborne sound insulation of a single homogeneous wall of finite size, using a variational technique based on the integral-differential equation of the fluid loaded wall. The so derived formulas are valid in the entire audible frequency range. The results are compared with full numerical calculations, measurements and alternative theory, with reasonable agreement.
单层墙是建筑声学中最简单的关注点，但对于这种简单情况的隔音仍然存在一些悬而未决的问题。造成这种情况的两个主要原因是，当墙壁具有有限大小时，对墙壁的激励和声音辐射的影响，以及壁中的波场由两种类型的波组成，即由于激励声场的强制波，以及由于边界反射的自由弯曲波。本文的目的是使用基于流体加载壁的积分微分方程的变分技术，为有限大的单个均质墙的空气传播声隔声的强制部分导出简单的分析公式。导出的公式在整个可听频率范围内有效。将结果与全数值计算、测量和替代理论进行了比较，结果比较合理。
