Research On The Dynamic Characteristics Of Double Disc Ball Automatic Balancing Device

The existence of imbalance in high-speed rotating machinery produces forced vibration,and harmful vibration has a huge impact on the accuracy and service life of processing equipment.When the shaft rotates,the magnitude of the unbalanced force changes randomly.Therefore,the rotating machine can only achieve balance when it is running.The use of high-precision dynamic and static balances has significant limitations.The quality of the rotor in a rotary machine changes at any time,which seriously affects the trajectory of the rotating shaft.How to suppress vibration and ensure the safe and reliable operation of rotating machinery has important practical significance for industrial production,and is also one of the hot and difficult issues in rotor system research for many years.The ball-type automatic balancer device is composed of a series of free-moving ball and Jeffcott rotor.The ball in the disc runs around a fixed distance from the axis.During the operation of the device,the ball tends to stay at a certain position,so that the inertia main shaft is repositioned on the rotation axis.It is a device that can achieve the effect of balance without knowing the imbalance in advance.The ball-type automatic balancer is very suitable for use in the process of rotor operation,and the size and orientation of the imbalance change.It can always achieve the purpose of balancing the rotor and controlling the forced vibration.Therefore,based on the automatic balance device and single-disc ball-type automatic balance device,this paper proposes a double-disc ball-type automatic balance device,and studies the vibration control performance of the ball-type automatic balance through theoretical calculation and numerical simulation.The main research contents of this article are as follows:(1)The dynamic model of the single-disc ball-type automatic balance device was established based on Lagrange’s equation,and the periodic response was solved using the harmonic balance method.Add a small perturbation to the constant periodic solution obtained by theoretical analysis,find the characteristic equation of the small perturbation amount,and make a Routh table.According to the Rolls-Herwitz stability determination method,determine the stability of the constant period to obtain a system Amplitude-frequency characteristic curve,based on which the vibration response characteristics are analyzed.Numerical simulation is used to verify the vibration characteristics of the analyzed rotor system and summarize them.(2)A mathematical model of the rotor system equipped with a double-disc ball-type automatic balancing device was established,and the mathematical model was dimensionless.Analytical solutions were made using the average method to obtain the characteristics of ball balance damping when the rotor system is stable and unstable.,Laws and mechanisms.(3)Using MATLAB to numerically simulate the differential equations of motion of the rotor system equipped with a dual-disc ball-type automatic balance device,and analyze the effects of different speeds and the number of balls on the vibration of the rotor system and the motion of the balls.(4)The research shows that the single-disc ball-type automatic balance device can control the static imbalance of the rotor system,and the double-disc ball-type automatic balance device can control the dynamic imbalance of the rotor system.