Effect of the Coriolis forces on dynamics of the system reservoir–liquid under uniform outflowing

2018;
: pp. 34-40
https://doi.org/10.23939/mmc2018.01.034
Received: January 07, 2018

Math. Model. Comput. Vol. 5, No. 1, pp. 34-40 (2016)

1
Taras Shevchenko Kyiv National University
2
Taras Shevchenko National University of Kyiv

The problem of motion of the cylindrical reservoir, partially filled with liquid, on pendulum suspension is considered in combined statement.  The system motion occurs under the presence of uniform outflowing of liquid with the neglect of outflowing local effects.  It was shown that the constructed mathematical model of the system describes the main mechanical effects and does not violate the conservation laws.  Peculiarities the system dynamics under the presence of liquid outflowing are shown by the numerical examples of the system behavior for initial kinematic perturbation and under the external impulsive loading.  Effect of the Coriolis forces in developmentr of wave motion on a liquid free surface under the presence of outflowing and for constant liquid volume is characterized.  It was ascertained that the Coriolis forces promotes development of wave motion on a free surface of liquid, but suppress amplitudes of high-frequency normal modes.

  1. Limarchenko O. S., Yasinskiy V. V. Nonlinear dynamics of structures with liquid. National Technical University of Ukraine “KPI”, Kyiv (1997).
  2. Maksimenko A. L. Investigation of nonlinear modes of motion of bounded liquid volume of variable mass with a free surface. Ph. D. Thesis Phys. & Math. (1987).
  3. Abgaryan K. A., Rappoport I. M. Dynamics of rockets. Mashinostroenie, Moscow (1969).