Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA.
J Acoust Soc Am. 2011 Jun;129(6):3483-9. doi: 10.1121/1.3583545.
This paper discusses a nonlinear multi-wave mechanism for the parametrically self-exciting standing waves in a plane-parallel liquid layer driven at one end of the layer. The dependence of this process on the number of parametrically self-exciting waves and the frequency detuning between the frequency "f" of the pump wave and the nearest natural frequency are analyzed. It is found that two regimes with different thresholds are possible. One of them is characterized by self-exciting subharmonic frequencies close to f/2 and the second has a much lower threshold and the presence of a self-exciting subharmonic at a frequency near to the smallest natural frequency. Three dimensionless parameters determining each regime are introduced.
本文讨论了平面平行液层在一端驱动时参数自激驻波的非线性多波机制。分析了该过程与参数自激波的数量以及泵波频率“f”与最近自然频率之间的频偏的关系。结果表明，可能存在两种具有不同阈值的状态。其中一种状态的特征是自激次谐波频率接近 f/2，另一种状态的阈值低得多，并且存在接近最小自然频率的自激次谐波。引入了三个确定每个状态的无量纲参数。
