对声学上大型物体的声学悬浮应用的非线性动力学的稀少识别
Mehdi Akbarzadeh1, Benjamin Halkon2, Sebastian Oberst2
1Centre for Audio, Acoustics and Vibration, University of Technology Sydney, Sydney, Australia. Mehdi.Akbarzadeh@uts.edu.au.
Scientific reports
|November 19, 2025
概括
这项研究使用非线性动态系统的稀疏识别 (SINDy) 来推导悬浮物体的运动方程. SINDy精确地模拟了超出经典界限的声学大物体,揭示了复杂的动态.
科学领域:
- 声学和非线性动态学
- 流体力学和声学 流体力学和声学
背景情况:
- 声学悬浮研究往往侧重于声场,忽视了更大的悬浮物体的动态反应.
- 像戈尔科夫公式这样的经典模型与超出波长限制的物体的非线性动力学和外部激发作斗争.
研究的目的:
- 在有外部刺激的声波辐射力下,为球形物体导出非线性运动方程.
- 将声波悬浮建模的适用性扩展到大于声波长的物体.
- 为了研究激发振幅对声学上大型悬浮物体动态的影响.
主要方法:
- 利用非线性动态系统的稀疏识别 (SINDy) 来从时间序列数据中重建治理方程.
- 使用戈尔科夫公式对声学上小的物体生成分析时间序列数据.
- 使用TinyLev悬浮器进行实验,用于声学上较大的物体.
主要成果:
- 对于小物体,SINDy精确地恢复了非线性运动方程,误差为<0.05%.
- 从声学上较大的物体的实验数据显示,动态方程系数随着激发幅度而变化.
- 发现了强烈的速度依赖项,表明了复杂的粘度-物体反应相互作用,而不是由经典模型预测.
结论:
- 对于超出雷利极限的物体,SINDy成功地模拟了声波悬浮动力学,超出了戈尔科夫公式.
- 与经典方法相比,导出方程显示了与实验分叉图的更好的一致性.
- 这种数据驱动的方法为复杂的声学操纵场景的分析建模提供了一条途径.
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