Comparative analysis of rotor system models with auto-balancers of ball, roller and pendulum type

Gennadiy Filimonikhin,Alexander Gorbenko,Mareks Mezitis,Marina Gromova,Guntis Strautmanis,Irina Filimonikhina

doi:10.21595/vp.2020.21366

Abstract

In the paper, differential equations of motion are derived for a plane model of rotor on anisotropic viscoelastic supports, which is balanced by a ball (roller) or pendulum auto-balancer. The forces of gravity and viscous resistance to the motion of compensating cargoes are taken into account. Cases of an unbalanced rotor motion from engine torque with a variable and constant angular velocity are considered. Using a comparative analysis of the motion equations structure it is established cases in which it is possible to build a unified theory of the specified auto-balancer types and apply the results obtained for one auto-balancer type to other types.

Highlights

Passive auto-balancers (AB) of ball and pendulum types are used to balance fast-rotating rotors during their motion, see, for example, [1]
1) When the rotor rotates at a variable speed, the equations of system motion for ball AB are fundamentally different from the equations of motion for pendulum AB
The difference is caused by the fact that the pendulum can rotate freely relative to the rotor, and the balls roll without sliding along the circular paths that are rigidly connected to the rotor

Summary

Introduction

Passive auto-balancers (AB) of ball (roller) and pendulum types are used to balance fast-rotating rotors during their motion, see, for example, [1]. There are separate studies of both ball (roller) [2,3,4,5,6] and pendulum [7, 8] ABs. For example, within a plane model of rotor on isotropic supports, the following have been studied:. This problem is solved within the framework of a plane model of rotor on anisotropic supports, balanced by a ball (roller) or pendulum AB. The aim of this work is a comparative analysis of models of a rotor system with AB of ball (roller) and pendulum types in order to identify qualitative differences in the dynamic properties of various AB types. COMPARATIVE ANALYSIS OF ROTOR SYSTEM MODELS WITH AUTO-BALANCERS OF BALL, ROLLER AND PENDULUM TYPE.

Mechanical model of the rotor system

Mathematical model of the rotor system with a variable rotor speed

Conclusions