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利用对墙截面形状的优化来改善声学小房间的低频响应

Using optimized wall section to improve low frequency response in a room

  • 摘要: 提出了通过优化墙截面形状来改变声学小房间低频响应的优化方法。在矩形有限元模型中将墙面用不同的阶梯形状作为墙截面进行代换,并用于具有不同墙面的房间,进行了声场分析。阶梯形状间的差异仅是阶梯高度的取值不同,分别为相等、随机和优化值。将获得优化值的优化方法用于60Hz到120Hz的频率范围内,对不同阶梯墙面以及平墙面房间的频率响应进行了数值计算和比较。结果显示墙截面采用优化值时得到的房间频响最为均匀;将房间长、宽、高比例改变后重复上述数值分析,仍得到房间频响改善在优化情况下最大的结果。对比例较差的房间改善幅度可达4.5dB。另外还以半圆和三角形作为墙截面形状计算了半圆半径和三角形高度分别为固定值和优化值时房间的频率响应,同样得到优化墙面优于固定值墙面的结果。因此通过运用优化的墙截面来改善房间低频声场特性是有意义的。

     

    Abstract: Three difference wall sections with step shape were applied in the finite element analysis models set up for investigating the effect on low frequency sound field by wall modification. The heights of the step in three cases are taken as equal, random and optimized. The optimized value is obtained by using an optimization process with an objective function of minimum fluctuation in sound field. The frequency responses of rooms with original and modified walls were calculated in a range from 60 to 120 Hz. The results showed that the room with an optimized wall section had the flattest frequency response. Same thing was true as the ratio of the room was changed. The largest improvement on fluctuation reached 4.5 dB. In addition, wall section with semicircle and triangle were studied. The rooms that wall section had optimized radius and heights also gave a better performance than those that had fixed radius and heights. Therefore, it is possible to use optimized wall section to improve low frequency sound field.

     

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