基于检测球的球磨机磨矿介质的力学研究

Mechanical Study of Ball Mill Grinding Media Based on Instrumented Ball

以筒体直径为305mm、筒体长度为150mm的球磨机作为研究对象,利用检测球装置获取在60%、70%、80%转速率下磨矿介质的原始运动数据,并通过运用姿态角算法排除原始数据中的重力因素,以得出更接近真实运动数据进行研究。试验结果显示,当转速率为60%时,原始力平均值为1.717 N,其真实数据力平均值为1.990 N,平均角速度为530.1deg/s,标准差则为221.15;转速率提升至70%时,原始力平均值为1.796N,真实数据力平均值为2.079N,平均角速度为628.9deg/s,标准差为238.3;然而在80%的转速率下,原始力平均值则降至0.826N,真实数据力平均值则为1.377N,平均角速度为656.3deg/s,标准差为262.55。根据这些结果,得出以下结论:1)磨矿介质的真实数据力平均值比原始力平均值要大;2)随着球磨机转速的提升,磨矿介质受到的碰撞作用力呈现先增大后减小的变化趋势;3)随着球磨机转速的提升,检测球的角速度持续增大。因为角速度可能影响磨矿介质的研磨效果,说明在高转速率下,筒体对磨矿介质提供的能量更多,能够带来更佳的研磨效果;4)随着球磨机转速的提升,检测球的角速度标准差也在持续增大,说明在高转速率下,磨矿介质的动能波动范围更大,介质间的能量交换频率提高,能够更明显地发挥出磨矿介质的研磨作用。

A ball mill with a diameter of 305mm and a length of 150mm was used as the experimental object,the original movement data of grinding media at 60%,70%and 80%of the critical rotational speeds were obtained by using the detection ball device.By using the attitude angle algorithm to eliminate the gravity factor in the original data,data obtained are closer to the real motion data.The experimental results show that when the rotation speed is 60%,the average value of the original force is 1.717 N,the average value of the true data force is 1.990 N,the average angular velocity is 530.1 deg/s,and the standard deviation is 221.15.When the rotation speed is increased to 70%,the rotation speed is increased to 70%,the average value of the original force is 1.796 N,the average value of the true data force is 2.079 N,the average angular velocity is 628.9 deg/s,and the standard deviation is 238.3.However,the average value of the original force decreases to 0.826 N at 80%speed,the true data force average is 1.377 N,the mean angular velocity is 656.3 deg/s,and the standard deviation is 262.55.According to these results,the following conclusions can be drawn:1)The true data force average value of grinding medium is larger than the original force average value.2)With the increase of the rotating speed of the ball mill,the impact force on the grinding medium increases at first and then decreases.3)With the increase of ball mill speed,the angular velocity of the test ball increases continuously.Because the angular velocity may affect the grinding effect of grinding medium,it shows that the cylinder can provide more energy to the grinding medium and bring better grinding effect.4)With the increase of the ball mill speed,the standard deviation of the angular velocity of the test ball also increases continuously,which shows that the fluctuation range of the kinetic energy of the grinding medium is larger and the frequency of the energy exchange between the media is increased under the high rotating speed,the grinding effect of grinding medium can be brought into play more obviously.