Abstract

Abstract. Objectives The purpose of the study is to create a methodology for computing the design of the primary drive mechanism of metal cutting machines, making it possible to reduce error when realising a set of preferred output criteria. Methods The accuracy of established modes of operation is a key determinant on which the efficiency of cutting operations depends. In order to determine and evaluate drive errors in metal-cutting machines, three methods were proposed: direct measurement of the frequencies of the series, calculations using kinematic balance equations and summation of individual components. It is recommended that an unloaded machine be used to check the accuracy of the series gained by the machine's drive. Results By measuring the actual spindle rotation frequencies and kinematic calculation – as well as summing the components of the total error – the developed methodology makes it possible to calculate and estimate the error of a series gained by the drive of a metal-cutting machine at the design stage with a sufficiently high accuracy. The presented complex helps to reveal the role of the rounding error of the output criteria in the formation of the general relative error and provides a basis for its possible reduction. Conclusion The use of the proposed methodology expands the scientific basis for the development of algorithms and programs facilitating the selection of the optimal number of gear teeth for multiplying groups and structures and guaranteeing high accuracy of the gained series.

Highlights

  • By measuring the actual spindle rotation frequencies and kinematic calculation – as well as summing the components of the total error – the developed methodology makes it possible to calculate and estimate the error of a series gained by the drive of a metal-cutting machine at the design stage with a sufficiently high accuracy

  • The use of the proposed methodology expands the scientific basis for the development of algorithms and programs facilitating the selection of the optimal number of gear teeth for multiplying groups and structures and guaranteeing high accuracy of the gained series

  • Совершенствование методов кинематического расчета привода главного движения металлорежущих станков по критерию минимизации погрешности ряда: дис

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Summary

Introduction

Results By measuring the actual spindle rotation frequencies and kinematic calculation – as well as summing the components of the total error – the developed methodology makes it possible to calculate and estimate the error of a series gained by the drive of a metal-cutting machine at the design stage with a sufficiently high accuracy. Где, Cd – допускаемое значение поля рассеивания относительной погрешности. В случае бесступенчатого регулирования привода металлорежущего станка контроль относительной погрешности необходимо осуществлять по значениям ряда R20 и допускам на поля рассеивания (табл.1).

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