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Error separation and compensation of arc wheel grinding for SiC segmented mirror considering wheel wear

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Abstract

Grinding wheel geometry error and wheel wear are the major error sources in SiC mirror grinding. In this paper, a segmented mirror containing seven hexagonal SiC blocks is ground with a fewer-axis grinding machine with an arc-shaped grinding wheel in simulation. Error model with both grinding wheel geometry error and wheel wear error is established. The error model is linearized, and a corresponding measurement strategy is given. A method using only one measuring process of error separation and compensation for both geometry error and wheel wear error is then given to reduce the profile error of the mirror. A simulation method considering the wheel wear is used to generate measurement data of the mirror with errors. Separation and compensation processes are carried out using the simulation data. Separation results correspond with simulation settings. Grinding trajectories are modified, and the profile error of the segmented mirror after compensation drops from 37.1 to 1.6 μm. A grinding experiment is also conducted, and the profile error of the mirror drops from 44.8 to 4.9 μm.

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Simulation data in this study will be available if requested.

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Major part of the code will be available if requested.

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Correspondence to Yuehong Yin.

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Zhao, Y., Zhang, Y., Xu, J. et al. Error separation and compensation of arc wheel grinding for SiC segmented mirror considering wheel wear. Int J Adv Manuf Technol 126, 3543–3554 (2023). https://doi.org/10.1007/s00170-023-11194-7

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  • DOI: https://doi.org/10.1007/s00170-023-11194-7

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