磨片精磨区纤维轨迹模型的建立及磨齿作用频数的求解

Establishment of Tajectory Model for Fiber in Fine Grinding Zone of Disc and Solution of the Frequency of Gear Grinding Effect

通过对热磨机磨片精磨区内纤维运动的分析,阐述了纤维的流体特性;根据流体力学的运动学原理求解磨片精磨区间隙内纤维流体的运动轨迹模型,并建立纤维流体在精磨区内的轨迹方程;结合磨片的结构参数,运用轨迹方程推导磨齿作用频数的数学表达式,并通过计算实际磨片的磨齿作用频数和统计纤维的研磨质量数据探究二者之间的影响关系。结果表明:纤维流体在精磨区内的流动属于库特流动,并符合Naiver提出的线性滑移模型;其运动轨迹呈螺旋形,主要受磨片角速度、磨片间隙、磨片齿倾角的影响;磨齿作用频数受磨片结构参数影响,并与纤维的研磨质量具有相关性,合理的磨齿作用频数能够保证较高的纤维质量。

Movement of fiber in fine grinding zone of refiner disc was analyzed and fluid properties of fiber were elaborated.Trajectory model of fiber fluid was solved by kinematics of fluid mechanics through which equation of trajectory in fine grinding zone was established.The formula of the frequency of gear grinding effect in combination with parameter of disc structure was solved through the equation of trajectory.Through calculating the frequency of gear grinding effect of real disc and compiling the statistics of the fiber quality the relationship was analyzed between them.The flow of fiber fluid is Coutte flow and accords with Linear slip model proposed by Naiver.The trajectory is helical and mainly influenced by disc speed,clearance and tooth Inclination.The frequency of gear grinding effect is influenced by parameter of disc structure,and it has a relationship with the properties of fiber.Therefore,reasonable frequency can ensure high quality of fiber.