RECOMMENDATIONS FOR THE DEVELOPMENT OF GEAR CONTROL METHODS ON CMM

M. Ushakov, I. Vorobev, S. Nikolsky
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Abstract

This article provides the methodological foundations for building programs designed to control coordinate measuring machines of any type when measuring the parameters of straight-toothed gears. The scope of the described approach to the described problem is considered, as well as the ways and expediency of its further development. The presented technique describes an approximate scheme of movements of the measuring element, as well as some features during its development. The fundamental mathematical dependencies are given, which allow calculating the shape of the lateral surface of the gears based on the results of the coordinate measuring machine, for subsequent evaluation of its errors. The results of measurements for further processing should be stored in the form of arrays, which indicate the numbers of controlled teeth, the left or right sides of the tooth, as well as the level of measurements and the index of the controlled radius. The development of an experimental control program based on this technique showed the possibility of significantly expanding the range of use of coordinate measuring machines that are not equipped with specialized software and additional equipment designed for measuring gears. Terminology, designations and requirements are given in accordance with GOST ISO series (GOST ISO 1328-1–2017 and GOST 13755–2015 (ISO 53:1998)), which differ in some parameters from those previously adopted (GOST 1643–81, GOST 16531–83, GOST 16532–70, etc.).
对三坐标测量机齿轮控制方法发展的建议
本文为编制控制任何类型的三坐标测量机测量直齿齿轮参数的程序提供了方法学基础。考虑了所描述的方法对所描述的问题的范围,以及其进一步发展的途径和权宜之计。该技术描述了一种测量元件运动的近似方案,以及其发展过程中的一些特点。给出了基本的数学依赖关系,它允许根据三坐标测量机的结果计算齿轮侧面的形状,以便随后评估其误差。进一步加工的测量结果应以阵列的形式存储,阵列表明受控齿的数量,齿的左右两侧,以及测量的水平和受控半径的指数。基于该技术的实验控制程序的开发表明,可以显着扩大三坐标测量机的使用范围,这些测量机没有配备专门的软件和为测量齿轮设计的附加设备。术语、名称和要求是根据GOST ISO系列(GOST ISO 1328-1-2017和GOST 13755-2015 (ISO 53:20 98))给出的,与以前采用的(GOST 1643-81、GOST 16531-83、GOST 16532-70等)在一些参数上有所不同。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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