在一个弹性圆圆盘的声音场上,在一个无限的混中
1Mellow Acoustics Ltd, 42 Hale Road Farnham, Surrey GU9 9QH United Kingdom.
The Journal of the Acoustical Society of America
|March 12, 2024
概括
本研究介绍了用于声学和衍射的零质量,零刚度圆盘模型. 它的声学特性得到了分析公式,为圆孔和扬声器设计提供了洞察力.
科学领域:
- 声学 声学 在声学方面
- 波浪衍射的波折方式
- 数学物理 数学物理
背景情况:
- 刚性磁盘通常以均的速度建模.
- 由压力驱动的弹性磁盘为声波散热器和光圈提供了更细致的模型.
- 圆形状在声学设备和衍射问题中很常见.
研究的目的:
- 为弹性圆圆盘的声学行为开发严格的分析公式.
- 通过圆孔和理想化的扬声器模拟衍射.
- 分析表面速度,辐射吸收率和远场模式.
主要方法:
- 在圆柱形坐标中利用富里埃 (汉克尔) 格林的函数.
- 应用断基尔霍夫-赫尔姆霍尔茨边界积分.
- 导出分析公式和绘制结果在正常化频率上的结果.
主要成果:
- 导出了表面速度,辐射吸收率,轴压力和导向性的公式.
- 声学表现在一系列规范频率的范围内绘制.
- 获得辐射电阻,反应电阻和轴压的低频近似值.
结论:
- 弹性圆盘为声波辐射和衍射提供了有价值的分析模型.
- 与圆盘相比,突出了独特的方向性模式.
- 由此得出的公式可以精确计算圆系统的声学参数.
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