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本文对三测点法的运动学机理进行了分析,给出了运动学关系和数学模型以及工件轮廓、主轴回转误差与三测头传感器测得信号之间的关系式。本文认为工件轮廓误差可用转角的矢值函数r(θ)表示,而主轴回转误差应该用另一具有独立变元的矢值函数R(ωt)表征,即测得信号包含了两个具有独立变元的信号r和R。文中讨论了当工件圆度和主轴回转误差可能形成的4种组合情况,给出了每种组合的工程意义、理论解释及评定处理的方法。
In this paper, the kinematic mechanism of the three measuring points method is analyzed, and the relationship between kinematics and mathematical models and the contour of the workpiece, the rotation error of the spindle and the signal measured by the three-probe sensor are given. This paper argues that the workpiece profile error can be represented by the steering angle vector function r (θ), while the principal axis gyroscopic error should be characterized by another vector function R (ωt) with independent variables. That is, the measured signal contains two independent variable The signals r and r In this paper, four kinds of combination situations that may be formed when the workpiece roundness and spindle rotation error may be formed are discussed, and the engineering significance, theoretical explanation and evaluation processing method of each combination are given.