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Geometric error compensation of spherical surface grinding system

Kinematics theory for a multi-body system is used to analyse translational joint error, rotational joint error, and quadrature error in a spherical grinding system. A virtual grinding point method is proposed that is based on process features, and the feasibility as well as effectiveness of this method is demonstrated. A volumetric error model of the grinding system is created and the compensation method is coded into a control computer program. A laser interferometer is used to experimentally measure the error both with and without the proposed error compensation scheme. The experimental results validate the proposed approach in that they show that the spherical surface grinding precision is significantly improved.