title: Two regimes of the parametrically self-exciting ultrasonic standing waves.
abstract: 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.
authors.affiliation: Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA.
authors.forename: Zinoviy
authors.initials: Z
authors.lastname: Goldberg
authors.forename: Iliya
authors.initials: I
authors.lastname: Goldberg
authors.forename: Alexander
authors.initials: A
authors.lastname: Goldberg
mesh_terms: D003198:Computer Simulation; D004867:Equipment Design; D009038:Motion; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D013997:Time Factors; D014465:Ultrasonics / Q000295:instrumentation; D014732:Vibration