Effect of "Crawling" and Peculiarities of Motion of a Rotor with Pendular Self-Balancers

Abstract

The results of investigation of a new phenomenon represented by the revolving of stiff rotor in elastic supports with four self-balanced pendulums are discussed in the article. The rotor is rotating with some operating velocity but the pendulums are moving with a frequency which equals one from two critical velocities of the rotor rotation connected with its linear or angular motion parameters. The procedure of mathematical models construction for system with eight degrees of freedom is offered. Dynamical interactions’ properties between partial systems with definite forms of a motion self-organization in a freely suspended pendulum group are discussed.

Studying the load jam modes within the framework of a flat model of the rotor with an auto­balancer

“…Passive auto-balancers, ball (roller), pendulum, etc. [1][2][3][4][5][6][7][8][9][10][11][12][13], are used for balancing high-rotational rotors at operation. The same devices with a single or more loads can be used in vibration machines in order to excite vibrations [14][15][16][17][18].…”

“…-load jams (caused by the Sommerfeld effect) [5][6][7][8][9][10][11][12][13][14][15][16]; -parametric and other oscillations of loads [17,18].…”

Equations of motion of vibration machines with a translational motion of platforms and a vibration exciter in the form of a passive auto-balancer

“…In [16], the effect of pendulums getting stuck, found in [9], was explored at the experimental bench. Computational experiments were also performed.…”

“…Research into special mode of load motion in autobalancers is addressed in papers [9,10,[13][14][15][16].…”

“…The simplest and most reliable ways to excite the resonance oscillations of platforms and rotors are based on the Sommerfeld effect [4][5][6][7][8][9][10][11][12][13][14][15][16]. One of these techniques is based on using a ball, a roller, or a pendulum auto-balancer in the form of a vibration exciter [8,11,12].…”