一个输入阻抗的转移矩阵,微弱的逐渐,散射的风仪 (L) 的风仪 (L)
Timo Grothe1, Johannes Baumgart2, Cornelis J Nederveen3
1Erich-Thienhaus-Institut, Hochschule für Musik Detmold, Detmold, Germany.
The Journal of the Acoustical Society of America
|July 25, 2023
概括
本研究提出了用于形波导的新阻抗传输矩阵,改进了木风乐器的声学模型. 它提供了更准确的共振频率计算,而不需要将圆分成更小的部分.
科学领域:
- 声学 声学 在声学方面
- 音乐乐器 物理 物理
- 流体动力学 流体动力学
背景情况:
- 对形波导的准确建模对于理解木风乐器声学至关重要.
- 现有的一维传输矩阵经常使用简化的损失模型.
- 尼德维恩的公式为形波导中的局部声学入口提供了基础.
研究的目的:
- 重写Nederveen的公式,将声学输入到阻抗传输矩阵中.
- 开发一个更准确的圆波导的声学模型,特别是对于乐器.
- 为了改进在形空气柱中的共振频率的计算.
主要方法:
- 将当地的声学接入率公式重写为阻抗传输矩阵.
- 采用自相一致的近似用于形几何学.
- 将共振频率计算与现有的综合模型进行比较.
主要成果:
- 开发的传输矩阵准确地模拟了形波导中的粘性和热损失.
- 新的矩阵不同于传统模型,这些模型隐含地假设圆柱形损失行为.
- 计算的共振频率与更复杂的声学模型有了更好的一致性.
结论:
- 阻抗传输矩阵为模拟形波导提供了更准确,更有效的方法.
- 这种方法增强了木风乐器的声学模拟.
- 这种模型即使对带有轻微收缩的长圆也有效,避免了轴向离散.
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