# Alexander Panev

Volokolamskoe sh. 4, Moscow, 125993 Russia

Moscow Aviation Institute (National Research University)

## Publications:

Bardin B. S., Panev A. S.
On the Motion of a Body with a Moving Internal Mass on a Rough Horizontal Plane
2018, Vol. 14, no. 4, pp. 519-542
Abstract
We consider a vibration-driven system which consists of a rigid body and an internal mass.
The internal mass is a particle moving in a circle inside the body. The center of the circle is
located at the mass center of the body and the absolute value of particle velocity is a constant.
The body performs rectilinear motion on a horizontal plane, whereas the particle moves in
a vertical plane. We suppose that dry friction acts between the plane and the body. We have investigated the dynamics of the above system in detail and given a full description of the body’s motion for any values of its initial velocity. In particular, it is shown that there always exists a periodic mode of motion. Depending on parameter values, one of three types of this periodic mode takes place. At any initial velocity the body either enters a periodic mode during a finite time interval or it asymptotically approaches the periodic mode. |