振动板中的波turbulence:阻尼的影响
Wave turbulence in vibrating plates : the effect of damping
摘要:
本文研究了振动薄板在波浪紊流区的阻尼效应。首先介绍了一种实验方法,允许在所有尺度上测量系统中的耗散。实际的实验装置,用于增加耗散。增加阻尼的主要可观察结果是功率谱密度的斜率的显著修改,使得所观察到的幂律不处于纯惯性状态。然而,该系统仍然显示出具有截止频率的湍流行为,该截止频率由不依赖于阻尼的注入功率确定。利用实测的阻尼幂律进行数值模拟,得到了类似的结论。
英文摘要:
The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for increasing the dissipation are used. The main observable consequence of increasing the damping is a significant modification in the slope of the power spectral density, so that the observed power laws are not in a pure inertial regime. However, the system still displays a turbulent behavior with a cut-off frequency that is determined by the injected power which does not depend on damping. By using the measured damping power-law in numerical simulations, similar conclusions are drawn out.
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