A Method of On-Site Describing the Positional Relation between Two Horizontal Parallel Surfaces and Two Vertical Parallel Surfaces

Zechen Lu,Chunyu Zhao,Zhenjun Li,Bao Zhang

doi:10.3390/app10062152

Abstract

The position error of two parallel surfaces is generally constrained by parallelism. However, as a range of change, it cannot represent the positional relation between two parallel surfaces. Large-scale equipment such as machine tools are complex and difficult to move. It is also an engineering problem to perform field measurements on it. To this end, a method of describing the positional relation between two horizontal parallel surfaces and two vertical parallel surfaces on-site is proposed in this paper, which is a novel kind of position error, enriching the form of parallel surface position error, and solves the inconvenience problem of large equipment position error measurement. The measurement mechanisms are designed, and the measurement principle is given. Firstly, the combined projection waveform of the measured surface can be obtained by the geometric relationship between the measurement mechanism and the measured surface. Secondly, an algorithm is studied to process the obtained waveform, and the combined projection curve of the measured surface is acquired. Then, under the condition of considering the shape contours of the two surfaces, an algorithm is developed to acquire the calculated shape contour of the measured surface. According to the difference between the calculated surface shape contour and the known shape contour of the measured surface, the positional relation of the two surfaces can be determined. Meanwhile, the mathematical models of algorithms are established, and the measurement experiments are carried out, and the algorithms are verified by the mutual measurement method of the two surfaces. The results show that this method can accurately obtain the positional relation of two horizontal parallel surfaces and two vertical parallel surfaces.

Highlights

The CNC machine tool is an important piece of equipment in the traditional manufacturing industry
In the modern manufacturing industry, the position error of two parallel surfaces is generally constrained by parallelism, and parallelism is orientation error, which is the total allowable variation of the measured element in the direction relative to the datum
Hsieh et al tool proposed a method for measuring the parallelism of static andTherefore, dynamic this paper proposes a method of describing positionalsystem, relationwhich between two parallel surfaces linear guideways

Summary

Introduction

The CNC machine tool is an important piece of equipment in the traditional manufacturing industry. Two positioning surfaces of the machine tool serve as the datum surface for the mounting rails, and their position error plays a vital role in the accuracy of the machine tool. In the modern manufacturing industry, the position error of two parallel surfaces is generally constrained by parallelism, and parallelism is orientation error, which is the total allowable variation of the measured element in the direction relative to the datum. The orientation error has the function of controlling the direction, that is, controlling the direction of the measured elements relative to the datum elements. The calculation method of parallelism is very mature. The method is to fit a straight line

Methods

Results

Conclusion