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.
YinLVancoilleE. Y. JLeeL. C. High quality grinding of polycrystalline silicon carbide spherical surfaces. J. Wear, 2004, 256. 197–207.
2.
HayatiS. A. Robot arm geometric link parameter estimation. In Proceedings of the 22nd Conference on Decision and control. 14–16 December 1983, San Antonio, Texas, vol. 3 (A85-33251 14-63), IEEE (New York, 1477–1483.
3.
VeitschneggerW. KWuC. H. Robot accuracy analysis based on kinematics. J. Robot. Autom., 1986, 2(3), 171–179.
4.
ZhangGVealeRCharltonTHockenRBorchardtB. Error compensation of coordinate measuring machines. Ann. CIRP, 1985, 34((1)), 445–448.
5.
WeekersW. GSchellekensP. H. J. Assessment of dynamic errors of CMMs for fast probing. Ann. CIRP, 1995, 44((1)), 469–474.
6.
SchwenkeHKnappWHaitjemaHWeckenmannA. Geometric error measurement and compensation of machines. Ann. CIRP, 2008, 57((2)), 660–675.
7.
LeiW. THsuY. Y. Accuracy enhancement of five-axis CNC machines through real-time error compensation. Int. J. Mach. Tools Mf., 2003, 43((9)), 871–877.
8.
DuffieN. AMaimbergS. J. Error diagnosis and compensation using kinematic models and position error data. Ann. CIRP, 1987, 36((1)), 355–358.
9.
SatoriSColonnettiGZhangG. X. Geometric error measurement and compensation of machines. Ann. CIRP, 1995, 44((1)), 599–609.
10.
BalsamoAMedaA. Geometrical error compensation of coordinate measuring systems. J. Nanotechnol. Precis. Engng, 2006, 4(2), 83–92.
11.
TsutsumiMSaitoA. Identification of angular and positional deviations inherent to 5-axis machining centers with a tilting table by simultaneous four-axis control movements. Int. J. Mach. Tools Mf., 2004, 44(12), 1333–1342.
12.
SchwenkeHKnappWHaitjemaH. Geometric error measurement and compensation of machines – an update. Ann. CIRP, 2008, 57((2)), 660–675.
