Abstract
The manufacturing error of spiral bevel gear tooth surface has a great influence on transmission efficiency and gear life. The error of the gear tooth surface needs to be measured accurately and fed back to the machine tool to adjust the parameters. When measuring the spiral bevel gear using a gear measuring machine, combined with the measurement theory of the tooth flank of spiral bevel gear, this paper proposed a method to compensate the inclination error in the measurement result precisely. Based on the iterative search method, a precision matching method for the theoretical and the measured tooth surface of the spiral bevel gear was designed to calculate the compensation results. The experimental results show that the inclination errors included in tooth surface measurement results reduced from more than 3 μm to less than 0.5 μm, and more than 70% of the errors are compensated by the proposed method. The accuracy of the measurement results improved significantly after compensation, and furthermore, it can provide a more accurate basis for the adjustment of machine tool parameters in the manufacturing process.
Highlights
Spiral bevel gear is widely used in the field of mechanical transmissions, such as automobile, aviation, wind turbines, and so on
Combined with the measurement theory of the tooth flank of spiral bevel gear, this paper proposed a precision matching method for the theoretical tooth surface and the measured tooth surface of the spiral bevel gear, and compensated the inclination error in the measurement result precisely. e experimental results show that the accuracy of the measurement results improved significantly after compensation
According to the compensation method proposed in the paper, the point cloud of the measured tooth surface could be matched with the theoretical tooth surface, and the compensation values could be calculated by equation (5)
Summary
Spiral bevel gear is widely used in the field of mechanical transmissions, such as automobile, aviation, wind turbines, and so on. The coordinate measurement method is one of the most widely used methods to measure the tooth surface error of the spiral bevel gear [5,6,7]. When measuring the tooth surface of spiral bevel gear by gear measuring machine (GMM), the manufacturing and assembly error of the gear is inevitable. E misalignment problem for the spiral bevel and hypoid gears usually exists in the actual manufacturing and transmission, and Ding et al presented an automatic data-driven operation and optimization to determine the uncertain misalignment [14]. When manufacturing the spiral bevel gears, Shih and You developed an on-machine measurement system on five-axis machines using a quasi-3D probe and verified by comparing the evaluation results with the same gear measured on a dedicated GMM [17]. Few works have been focused on the measurement error of the spiral bevel gear caused by the inclination error, so it is necessary to research the compensation method for the inclination errors
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