## Volumetric error analysis of a multi-axis machine tool machining a sculptured surface workpiece.(English)Zbl 0903.90072

Summary: The objective of this research is to develop a geometric error model for multi-axis machine tools based on a closed-loop configuration. In this study, the geometric error model of each axis is derived by using $$4\times 4$$ homogeneous transformation matrix. The ideal cutter location of the sculptured workpiece surface is calculated using the Bézier bicubic parametric surface representation method and machine geometric errors. The actual cutter locations is calculated by considering runout error of the cutting tool and machine geometric errors. Then, the step-by-step volumetric error analysis method is suggested on the basis of the closed-loop configuration of the multi-axis machine tools. The simulation study shows the simplicity and effectiveness of the proposed strategy.

### MSC:

 90B30 Production models
Full Text:

### References:

 [1] BEZIER , P. , 1972 ,Numerical Control Mathematics and Applications( New York John Wiley ),pp. 170 – 197 . · Zbl 0251.93002 [2] DOI: 10.1016/0278-6125(86)90067-1 [3] HEMINGRAY C. P., Proceedings of the 14th International Machine Tool Design and Research Conference pp 287– (1973) [4] HOCKEN R. J., Proceedings of the Conference on Machine Tool Task Force 5 pp 8– (1980) [5] HOCKEN R. J., Annals ofCIRP 26 pp 403– (1977) [6] DOI: 10.1016/0094-114X(91)90084-H [7] LOVE W. J., Proceedings of the 14th International Machine Tool Design and Research Conference pp 307– (1973) [8] PAUL , R. P. , 1986 ,Robot Manipulators( Cambridge , MA MIT Press ), pp. 41 – 63 . [9] PORTMAN V. T., Stanki Instrument 50 (1980) [10] RIESENFELD R. F., Proceedings of the Second USA-Japan Computer Conference pp 551– (1975) [11] SCHUITSCHIK R., The components of the volumetric accuracy. 25 pp 223– (1977) [12] TLUSTY J., Annals of CIRP 24 pp 555– (1971) [13] WECK M., Proceedings of the Conference on Machine Tool Task Force, 5 pp 9– (1980)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.