Abstract
It is of great importance to ensure the accuracy of measurements taken by the line laser three-dimensional (3D) gear measurement system through the calibration of system in an accurate manner. This paper established a relevant measurement model based on the principle of line laser 3D gear measurement using generalized polar coordinates, designed a dedicated Polyhedral Artefact (PA), and proposed an accurate calibration method to address the challenges posed by the representation of 6 degrees of freedom (DOF) parameters for line laser sensor data in measurement space. Among them, the PA includes features such as cylindrical plane, planar plane, and V-groove etc., which can meet the requirements of high-precision machining while maintaining consistency with gear installation accuracy to further improve the accuracy of sensor pose parameters. The calibration method uses nonlinear optimization equations with point cloud data to simultaneously solve the required parameters for accurate measurement. Calibration and gear measurement experiments reveal that the standard deviation and range deviation of the total tooth profile deviation, obtained from 10 repeated measurements of a single tooth flank, are 0.244 μm and 0.86 μm, respectively. The results of the tooth profile measurements after the calibration of the system show good consistency compared with the contact measurements, which verifies the effectiveness of the method.
Published Version
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