Abstract
During large-size gear topological modification by form grinding, the helical gear tooth surface geometrical shape will be complex and it is difficult for the traditional scanning measurement to characterize the whole tooth surface. Therefore, in order to characterize the actual tooth surfaces, an on-machine topography measurement approach is proposed for topological modification helical gears on the five-axis CNC gear form grinding machine that can measure the modified gear tooth deviations on the machine immediately after grinding. Combined with gear form grinding kinematics principles, the mathematical model of topography measurements is established based on the polar coordinate method. The mathematical models include calculating trajectory of the centre of measuring probe, defining gear flanks by grid of points, and solving coordinate values of topology measurement. Finally, a numerical example of on-machine topography measurement is presented. By establishing the topography diagram and the contour map of tooth error, the tooth surface modification amount and the tooth flank errors are separated, respectively. Research results can serve as foundation for topological modification and tooth surface errors closed-loop feedback correction.
Highlights
Gear transmission is a major form of transmitting machine movement and power
Cylindrical helical gear pair is widely used in the high speed and heavy load mechanical transmission because its transmission is stable and its carrying capacity is strong
The traditional tooth surface measurement is measured in the central line of profile and longitudinal direction, with reference to the standard involute helical surface modification as well as the error
Summary
Gear transmission is a major form of transmitting machine movement and power. In particular, cylindrical helical gear pair is widely used in the high speed and heavy load mechanical transmission because its transmission is stable and its carrying capacity is strong. Shih and Chen [12] proposed free-form flank correction in helical gear grinding using a five-axis computer numerical control gear profile grinding machine, but the errors of the actual tooth surface were assessed using the gear measurement centre, not on-machine measurement. The traditional tooth surface measurement is measured in the central line of profile and longitudinal direction, with reference to the standard involute helical surface modification as well as the error. The topography measurement can obtain the modification amount as well as the error with reference to the standard involute helical surface. For the topological modification tooth surface, this measure process cannot satisfy the requirements of the modification design and machining.
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