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Measurement of Eccentric Wheel Shaft Lift Based on Coordinate Inversion Method |
YANG Wu-wei1,2,SHI Zhao-yao1,LIN Hu2 |
1. Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
2. National Institute of Metrology, Beijing 100029, China |
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Abstract General-purpose measuring instruments such as polar coordinate measuring instrument and coordinate measuring machine can carry out coordinate measurement on the eccentric wheel shaft, they are mainly equipped with spherical probes, which cannot directly measure the lift and lift error corresponding to the eccentric wheel shaft follower.To solve this problem, a measurement method of eccentric wheel shaft based on coordinate inversion method is proposed.The structure of eccentric wheel shaft and the calculation method of theoretical lift for different probes are introduced in detail.The lift model formulas of the plane probe, roller probe and knife-edge probe are deduced by the coordinates of the surface contour point of the eccentric wheel shaft.The center of the circle of least squares and the center of rotation are used to determine the position of the "peach tip" of the eccenter.An eccentric wheel shaft measurement experiment is carried out on a polar coordinate measuring instrument.The experimental results show that the lift measurement method based on the coordinate inversion method is effective, the difference between the coordinate inverse lift and theoretical lift corresponding to the three kinds of probes is 0.87, 0.90 and 0.90μm, the lift based on coordinate inversion can more accurately reflect the actual motion law of the follower.
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Received: 15 March 2021
Published: 19 September 2022
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