Abstract

This paper proposes a calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system. The algorithm error of the calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system was mainly discussed. During the experiments, the laser tracer was fixed on the work surface of the rotary table, and the rotary was fixed on the work surface of the coordinate measurement machine (CMM). The rotary table was rotated with the same angular interval. In this case, an optimization method for calculating the coordinates of a laser tracer station by using Levenberg–Marquardt algorithm and singular value decomposition transform was proposed. Then, the angular positioning deviation of the rotary table was calibrated by an established geometric relationship model between the coordinates of laser tracer stations and the rotation angle of the rotary table. The angular positioning deviation of the high-precision rotary table was as low as ±0.9″, and the error of the calibration method was ±0.4″. The experimental results proved the feasibility of the proposed calibration method. The calibration method proposed in this paper is suitable for the case that the rotary table is not linked with the CMM, especially for large high-precision rotary tables.

Highlights

  • In the modern manufacturing industry, due to the processing complexity of parts, many parts are processed by the angular positioning deviation of the rotary table in order to meet the position accuracy requirements at different angles

  • This paper proposes a calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system

  • According to the geometric relationship, the algorithm error ∆ of the calibration method of the According to the geometric relationship, the algorithm error Δ of the calibration method of the angular positioning deviation of the rotary table based on the laser tracer multi-station measurement angular positioning deviation of the rotary table based on the laser tracer multi-station measurement system can be expressed as system can be expressed as

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Summary

Introduction

In the modern manufacturing industry, due to the processing complexity of parts, many parts are processed by the angular positioning deviation of the rotary table in order to meet the position accuracy requirements at different angles. The above-mentioned calibration method for angular positioning deviation of the rotary table involves high-precision optical instruments such as a laser interferometer and a photoelectric autocollimator and involves the construction of an optical path, which takes a long time and cannot meet the requirements of fast and efficient calibration. This paper proposes a calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system. The mapping relationship between the coordinate information of laser tracer and rotation angle of the rotary table was established based on the high-precision relative interference length of the laser tracer, so as to realize the calibration of the angular positioning deviation of the rotary table. The algorithm error of calibrating the high-precision rotary table based on the laser tracer multi-station measurement system were analyzed.

Laser Tracer Multi-Station Measurement System
Self-Calibration Method
Selection of Parameter μi
Optimizing Coordinates of Laser Tracer Stations
Calibration of The Angular Positioning Deviation of the Rotary Table
Calibration of the Angular Positioning Deviation of the Rotary Table θ0 j
Experimental System
Self-Calibration
Fitting Plane of Station Coordinates and Coordinates of Optimized Stations
Angular Positioning Deviation of the Rotary Table
Angular
Conclusions

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