Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30302
Effects of Manufacture and Assembly Errors on the Output Error of Globoidal Cam Mechanisms

Authors: Shuting Ji, Yueming Zhang, Jing Zhao

Abstract:

The output error of the globoidal cam mechanism can be considered as a relevant indicator of mechanism performance, because it determines kinematic and dynamical behavior of mechanical transmission. Based on the differential geometry and the rigid body transformations, the mathematical model of surface geometry of the globoidal cam is established. Then we present the analytical expression of the output error (including the transmission error and the displacement error along the output axis) by considering different manufacture and assembly errors. The effects of the center distance error, the perpendicular error between input and output axes and the rotational angle error of the globoidal cam on the output error are systematically analyzed. A globoidal cam mechanism which is widely used in automatic tool changer of CNC machines is applied for illustration. Our results show that the perpendicular error and the rotational angle error have little effects on the transmission error but have great effects on the displacement error along the output axis. This study plays an important role in the design, manufacture and assembly of the globoidal cam mechanism.

Keywords: globoidal cam mechanism, manufacture error, transmission error, automatic tool changer

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1338388

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1735

References:


[1] H. S. Yan, and H. H. Chen, “Geometry design of globoidal cams with generalized meshing turret-rollers,” Trans. ASME J. Mech. Des., vol. 118, pp. 243–249, 1996.
[2] J. Astoul, E. Mermoz, M. Sartor, J. M. Linares, and A. Bernard, “New methodology to reduce the transmission error of the spiral bevel gears,” CIRP Annals – Manufacturing Technology, vol. 63, pp. 165–168, 2014.
[3] J. J. Coy, R. F. Handschuh, D. G. Lewicki, R. G. Huff, E. A. Krejsa, and A. M. Karchmer, "Identification and proposed control of helicopter transmission noise at the sourse", NASA/Army Rotorcraft Technology Conference, California, 1987, pp. 17–19.
[4] S. T. Ji, J. Zhao, and Y. M. Zhang, "An application of geodesics to the calculation of the rib-thickness of the globoidal cam mechanisms," Mech. Mach. Theory, vol. 87, pp. 163-176, 2015.
[5] D. M. Tsay, and B. J. Lin, "Improving the geometry design of cylindrical cams using nonparametric rational B-splines," Comput. Aided Des., vol. 28, pp. 5-15, 1996
[6] H. S. Yan, and H. H. Chen, "Geometry design and machining of roller gear cams with cylindrical rollers," Mech. Mach. Theory, vol. 29, pp. 803-812, 1994.
[7] H. S. Yan, "Curvature analysis of roller-follower cam mechanisms," Math. Comput. Model, vol. 29, pp.69-87, 1999.
[8] D. M. Tsay, and B. J. Lin, "Design and machining of globoidal index cams," Trans. ASME J. Manuf. Sci. Eng., vol. 119, pp. 21-29, 1997.
[9] J. H. Kuang, C. M. Hsu, and C. C. Hu, "Dynamic behavior of globoidal cam systems with torque compensation mechanisms," Mech. Mach. Theory, vol. 45, pp. 1201-1214, 2010.
[10] H. Y. Cheng, "Optimum tolerances synthesis for globoidal cam mechanisms," JSME, vol. 45, pp. 519-526, 2002.
[11] D. M. Tsay, and H. C. Ho, "Consideration of manufacturing parameters in the design of grooved globoidal cam indexing mechanisms," Proc. IMechE C J. Mech. Eng. Sci., vol. 215, pp. 95-103, 2001.
[12] F. H. Bu, Y. M. Zhang, and D. G. Shang, "Study on machining error of globoidal cam profile resulting from motion error of machine tool in machining," Applied Mechanics and Materials, vol. 148-149, pp. 1356-1364, 2012.
[13] F. H. Bu, Y. M. Zhang, and D. G. Shang, "Study on machining error of globoidal cam profile resulting from rotational deviation of location of part in machining," Advanced Materials Research, vol. 452-453, pp. 211-218, 2012.