Abstract
The object of research in this work is the process of measuring the involute of a cylindrical gear by using coordinate measuring machines based on new physical principles, equipment and methods. To date, the metrological assurance of measuring the parameters of gears has been based on tools for the tooth and other equipment. All of them have a limited range of measurement parameters, different accuracy and nomenclature of measured values. Many of them are morally obsolete, not automated, do not have access to computer tools and do not provide the modern level of accuracy, information content and speed. By virtue of this, metrological support of gears is increasingly used in practice, and measurements of the geometric parameters of their involute surfaces are found on coordinate measuring machines. A significant advantage is the fact that several geometrical parameters of the surface of a gear can be measured on coordinate measuring machines in one installation. At the same time, the developed software allows to estimate the measurement errors and give them a graphic display. The paper reviews the reference base in the field of involumetry, which requires its creation on the basis of a detailed analysis of new measurement principles, the need to justify their accuracy, expansion of the range and range of measured parameters. Consequently, the production of new modifications of Ukrainian measuring instruments, based on new principles of control and control and measuring instruments of leading foreign manufacturers in the field of involumetry, is promising. The complex of works on the creation of a system for ensuring the uniformity of measurement of geometrical parameters of gears is also considered. This requires a review, systematization and development of methods and means of metrological assurance. A mathematical description of the gear involute curve is proposed by the method of triangulation of multiply connected domains and the description of a geometric model of an involute using a trend. Recommendations on the application of the method of describing cylindrical gears with an involute profile are given. The proposed method allows to improve the measurement accuracy on coordinate measuring machines.
Highlights
The existing traditional devices for measuring the para meters of an involute profile are used as a standard of a real material object – the manufactured involute surface, which has, small, but real form errors – a deviation from the theoretical involute
In the coordinate measuring machine, as the standard of an involute profile, its ideal representation is used in the form of a mathematical model with which the measured profile of the involute type is compared
Traditional devices for measuring the parameters of an involute profile are created in the process of measuring movement in an involute with the help of mechanical elements of coordinate measuring machines
Summary
The existing traditional devices for measuring the para meters of an involute profile are used as a standard of a real material object – the manufactured involute surface, which has, small, but real form errors – a deviation from the theoretical involute. All complex movements of coordinate measuring ma chines, necessary for the formation of an involute, are rep resented in digital form, which allows for the introduction of a trajectory. In this case, the tolerance discreteness of linear displacements reaches 0.1–0.2 μm, and the rotation tolerance discreteness resolution is 0.05 mm. It is possible to reduce random errors due to statistical processing All this creates prerequisites for the development and introduction of modern precision coordinate methods and means of measuring the geometric parameters of an invo lute profile, as well as their metrological support, on the basis of coordinate measuring machines. It is relevant to study the measurement of the cylindrical gear’s involute by using coordinate measuring machines based on new physical principles, equipment and methods
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