利用达朗伯原理建立单球自动平衡装置在滚道偏心下的数学模型,并利用谐波平衡法对该数学模型进行转换,分析单球自动平衡装置的稳态响应及其扰动方程,在此基础上研究滚道偏心对单球自动平衡装置完全平衡状态稳定性的影响.研究表明:过临界转速下,滚道偏心距小于某一临界值时,单球自动平衡装置的完全平衡状态是稳定的;滚道偏心距超过该临界值时,单球自动平衡装置的完全平衡状态会变得不稳定.

Through establishing the math mode of pendulum-type automatic balancer, the procedure flow chart is made according the efffect of pendulum positon on pendulum-type automatic balancer. The following are concluded by simulation on MATLAB figure:While fixed on the center of rotary, the pendulum can swing around the rotation axis, and pendulum-type automatic balancer can fully remove vibration as the global-type automatic blancer;without rolling friction, the pendulum can stay at the ideal banlance point to make the eccentricity quality in balance, fully removing vibration;with rolling friction, a little vibration left exists in the system, and while the pendulum is not fixed on the center of rotary, the effect of vibration reduction minishes as the distance between pendulum rotation center and rotary center increases, where the fix position of pendulum hardly influences the ability of system vibration reduction.

There are many factors which influence the vibration reduction effect of the ball-type automatic balancer when it is operating at the over-critical speed. In this paper, the mathematical model of the ball-type automatic balancer with installation eccentricity is established and the numerical simulation is done using the parameters determined by the experimental testing. Influence of the installation eccentricity on the vibration reduction effect of the ball-type automatic balancer is analyzed. The results show that the smaller the installation eccentricity is, the better the vibration reduction effect is. Within a certain range, improving the accuracy of the rotor's processing and installation can significantly raise the vibration reduction effect for the ball-type automatic balancer. But over high accuracy of processing and installation may not be necessary since it does not help too much for improving the vibration reduction effect further. Result of the analysis may have application significance for vibration reduction of ball-type automatic balancers.

Rotating machinery unbalance vibration problem is always the important task of mechanical industry,automatic balance is one of the programmes to solve the unbalance vibration.This paper analyzes the automatic centering phenomenon of a single plate rotor and under over critical speed,and explores the automatic balance(vibration reduction) mechanism of automatic balancer which metal balls moving in the disk.

In order to determine the disc cutter's kinematic behavior, a 3-D FEM model is established to simulate the rock cutting process in Abaqus, using a unique connector element and considering the failure effect of the rock. Then, by using this model, a series of numerical simulations during disc cutter's wearing process have been performed. The results show that the speed zero point is jumping near the deepest rock breaking point, the rotating speed of the disc cutter varies while it is cutting rock and the average rotating speed increases during its wear process. In the end, the laboratory test is presented in detail, and the experiment results are in accordance with the simulation results.