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Mathematical Modeling of the Numerical Control Cam Grinder Wheel Center Displacement and Its Application

机译:数控凸轮磨机砂轮中心位移的数学建模及其应用

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摘要

Considering grinding a cam with numerical control (NC) cam grinder, a mathematical model should be established with the unified parameter based on the original cam-lobe lift data to describe the movement of wheel and establish the relation between the wheel center coordinate, the measuring angle and workpiece ' s spindle rotation angle. By analyzing, the grinding wheel can be regarded as different followers. To the planar and roller followers , different mathematical models are established , but they can be unified in Eqs. (17) of this paper with the different value of the roller radius r_1. And also the model is suit for the edged follower when assuming the roller radius r_1=0. Experimental verification was done with TKM120 CNC/CBN grinder xvith NC sets' interpolation according to the model, which shows that high precision parts can be manufactured and this mathematical model can be practically applied for NC cam grinder.
机译:考虑使用数控(NC)凸轮磨床打磨凸轮,应基于原始凸轮凸角升程数据使用统一的参数建立数学模型,以描述车轮的运动并建立车轮中心坐标与测量值之间的关系角度和工件主轴旋转角度。通过分析,可以将砂轮视为不同的从动轮。对于平面从动件和滚子从动件,建立了不同的数学模型,但是可以将其统一为等式。 (17)本文用不同的辊半径r_1值。并且,当假定滚子半径r_1 = 0时,该模型也适合有边从动件。根据该模型对TKM120 CNC / CBN磨床xvith数控机床插补进行了实验验证,表明可以制造出高精度零件,并且该数学模型可以实际应用于数控凸轮磨床。

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