Abstract
The use of automatic balancing devices in unbalanced rotor systems has proven their ability to reduce rotor vibrations in the super resonance zone of velocities. At the same time, the creation of efficient automatic balancing devices with a torus-shaped body and a circular cross-section is associated with the multimodal motion of the compensating masses, which makes the device unsuitable for operation. To ensure the acceleration of the compensating masses from the rest state to the working speed of the rotor, they need to be provided with some initial velocity. The magnitude of this velocity is influenced by the parameters of the elastic suspension of the rotor, the geometric parameters of the automatic balancing device, the rolling friction coefficient between the body and the compensating mass, etc. The work is devoted to the description of the vertical rotor model with an automatic balancer with two compensating masses. It also considers the effect of the rolling friction coefficient on the value of their initial velocity.
Highlights
To reduce the unbalance of the rotating unbalanced rotor in the super resonant frequency band, automatic balancing devices mounted on the rotor can be used
It is of interest to determine the dependence of the magnitude of the absolute initial velocity of the CM on the value of the rolling friction coefficient between these masses and the ABD’s body
The aim of the work is to describe the mathematical model of a vertical rotor with a ball-type ABD and a torus-shaped body and a circular cross-section with two CMs
Summary
To reduce the unbalance of the rotating unbalanced rotor in the super resonant frequency band, automatic balancing devices (hereinafter ABD) mounted on the rotor can be used. This is especially topical when the magnitude of the imbalance is random, for example, in grinding devices, centrifuges, etc. The aim of the work is to describe the mathematical model of a vertical rotor with a ball-type ABD and a torus-shaped body and a circular cross-section with two CMs. The work is a continuation of work [1] and is based on experimental tests of a rotor with an ABD [6].
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