A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors

• Published in: Applied sciences Vol. 13; no. 4; p. 2419
• Main Authors: Hsu, Chi-Hua, Chen, Jr-Rung, Hsu, Fan-Hsi, Chen, Yu-Ta
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-02-2023
• Subjects: Accuracy; Algorithms; auto-tracking laser interferometer; Degrees of freedom; Error analysis; Geometric accuracy; geometric errors; Geometrical optics; Interferometry; Lasers; Least squares method; Machining; Manufacturing; Measurement; Measurement methods; Methods; Motion systems; multilateration method; Principles; rotary table; Workpieces
• ISSN: 2076-3417; 2076-3417
• DOI: 10.3390/app13042419

In this paper, a novel and robust measurement method is proposed for obtaining the geometric errors of rotary tables by using LaserTRACER and the reflectors mounted on the reflector standard fixture. For the machining accuracy, the six-degree-of-freedom (6-DOF) geometric errors of the rotary axes interactively influence the manufacturing quality of the precise workpieces. Therefore, this paper mainly aims to develop a measurement method for identifying the 6-DOF geometric errors of rotary tables without using the external linear axis. Furthermore, the set-up errors of the reflector standard fixture are also considered and identified to reduce the influence of the 6-DOF geometric error measurements. For each rotary table geometric error measurement, the positions of the LaserTRACER as well as the relative distance between the reflectors and the LaserTRACER are measured and obtained for determining the 6-DOF geometric errors of the rotary tables. In addition, the homogeneous transformation matrix (HTM), multilateration method, and least squares method are used for building the mathematical measurement algorithm. Moreover, the experimental verifications are implemented to demonstrate the accuracy of the proposed measurement method. Conclusively, the experiment and simulation verification results clearly delineate that the maximal relative differences in the linear errors and the angular errors of the 6-DOF geometric errors are, at most, 3.25% and 2.30%, respectively.