三测点法检测的机理及数学模型  

Mechanism and Mathematical Model about the Measurement by Means of Three-point-method

作　　者：范裕健[1] 张社民[1] 徐文雄[1] 

机构地区：[1]西安交通大学

出　　处：《仪器仪表学报》1994年第2期155-159,共5页Chinese Journal of Scientific Instrument

摘　　要：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。The kinematic mechanism and essence of three-point-method in processing are analyzed in this paper. Expressions of the kinematic relation, mathematical model and their relations among the measured profile of workpiece, the error of spindle rotation and the measured signals from employed three sensors are conducted too. The authors hold that a profile of the workpiece can be represented by a vector function r (0) of rotating angle9, and ESR should be represented by other vector function R (tut). There are four kinds of possible combinations corning from different cases in which the error of a profile and ESR may be negligible or may not be negligible?respectively. The authors discuss the combinations, their uses in engineering, theoretical explanations, and evaluating methods.

关 键 词：三测点法 检测 数学模型 圆度测量 

分 类 号：TG83[金属学及工艺—公差测量技术]