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.

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At the National Institute of Metrology (NIM), China, the Small Angle Measuring System, which is based on the sine principle, was developed as the national primary standard for the plane angle in an angular measuring range of ±5°. The measurement uncertainty of this system is dominated by the accuracy of an invar angular interferometer optical system. To calibrate this angle interferometer system, a series of known reference standards were generated with a multi-step method using a double-deck rotary table. The measurement uncertainty of the calibration is estimated to be approximately 0.05'' (k=2).