一种替代方法来建模来自混乱圆形活塞 (L) 的辐射
Chirag A Gokani1,2, Randall P Williams1,2, Michael R Haberman1,2
1Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78766-9767, USA.
The Journal of the Acoustical Society of America
|September 30, 2025
概括
这项研究提出了一种新方法,用于计算来自混圆形活塞的声辐射. 它表明雷利积分可以使用贝塞尔束来推导,为声波辐射提供了一个新的视角.
科学领域:
- 声学 声学 在声学方面
- 波浪物理学的波浪物理.
- 数学物理学的数学物理.
背景情况:
- 雷利积分是分析表面声辐射的基本工具.
- 之前对雷利积分的解释主要集中在将其表示为简单源的和.
研究的目的:
- 为了提供雷利积分对困惑圆形活塞的替代导数.
- 用贝塞尔束来证明雷利积分的新解释.
- 探索这个公式在数值解决方案中的应用.
主要方法:
- 在无限圆柱形波导中解决赫尔姆霍尔茨方程的困惑圆形活塞.
- 通过将解决方案视为贝塞尔束的和来得出雷利积分.
- 对于特定的声场,赫尔姆霍尔茨方程的数值解.
主要成果:
- 成功地实现了雷利积分的一个替代导数.
- 雷利积分被证明可以用贝塞尔束的总和来表示.
- 通过使用新配方来回收一个混乱的圆形活塞所辐射的轴向压力.
结论:
- 贝塞尔光束公式为声学中的雷利积分提供了一个新的视角.
- 这种替代方法可方便对声辐射进行数值分析,包括诸如旋束等复杂的场.
- 这项研究扩展了理论工具包,以了解来自活塞的声音传播和辐射.
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