Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-23T07:42:15.576Z Has data issue: false hasContentIssue false
  • English
  • Français

The Effect of Motion Curves on the Curvatures of VPLS Transmission Mechanisms with Ruled- and Involute-Revolution Surface Meshing Elements

Published online by Cambridge University Press:  05 May 2011

Yaw-Hong Kang  and
Hong-Sen Yan
Yaw-Hong Kang*
Affiliation:
Department of Mechanical Engineering, National Kaohsiung Institute of Technology, Kaohsiung, Taiwan, R. O. C.
Hong-Sen Yan*
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
*
*Associate Professor
**Professor
Get access

Abstract

The purpose of this research is to study the effect of motion curves on the curvature of variable pitch lead screw (hereinafter VPLS) transmission mechanisms with different meshing elements. The surfaces of VPLS are generated based on various meshing elements with different specified motion curves. There are three kinds of ruled- and one involute-revolution surface meshing elements, and four types of motion curves are studied, which including modified trapezoidal (MT) curve, modified sine (MS) curve, modified constant velocity (MCV) curve, and polynomial (PL) curve. The curvature analyses include the determination of direction of contact line, induced principal radii of curvature, and lubrication angles between the surfaces of VPLS and various meshing elements. The results of this work provide a comparison between the effect of motion curve on the curvature of VPLS transmission mechanisms with different meshing elements.

Keywords

Conjugate surfacePrincipal curvatureInduced principal curvature.
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 2 , June 1998 , pp. 101 - 109
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Yan, H. S. and Liu, J. Y., “Geometry Design and Machining of Variable Pitch Lead Screws with Cylindrical Meshing Elements,” ASME Transactions, Journal of Mechanical Design, Vol. 115, No. 3, pp. 490–495 (1993).CrossRefGoogle Scholar
2.Hwang, W. M., Yan, H. S. and Lee, R. S., “Variable Pitch Cylindrical Cam Mechanism for Controlling the Motion of Weft Insertion Members in Shuttless Weaving Looms,” United States Patent No.5320143, 14 June (1994).Google Scholar
3.Baxter, M. L., “Curvature-Acceleration Relations for Plane Cams,” ASME Transactions, July, pp. 483–489(1948).CrossRefGoogle Scholar
4.Kloomok, M. and Muffley, R. V, “Determination of Radius of Curvature for Radial and Swinging-Follower Cam Systems,” ASME Transactions, May, pp. 795–802 (1956).Google Scholar
5.Baxter, M. L., “Second Order Surface Generation,” Industrial Mathematics, Vol. 23, Part 2, pp. 85–106 (1973).Google Scholar
6.Dhandle, S. G. and Chakraborty, J., “Curvatures Analysis of Surface in Higher Pair Contact, Part 2: Application to Spatial Cam Mechanisms,” ASME Transactions, Journal of Engineering for Industry, Vol. 98, No. 1, pp. 403–409 (1976).CrossRefGoogle Scholar
7.Dhandle, S. G. and Chakraborty, J., “Analysis of Profiled-Follower Mechanisms,” Mechanism and Machine Theory, Vol. 11, pp. 131–139 (1976).CrossRefGoogle Scholar
8.Dhandle, S. G. and Chakraborty, J., “Curvatures Analysis of Surface in Higher Pair Contact, Part 1: An Analytical Investigation,” ASME Transactions, Journal of Engineering for Industry, Vol. 98, No. 1, pp. 397–402(1976).CrossRefGoogle Scholar
9.Dyson, A., Evans, H. P. and Sindle, R. W, “Wildhaber-Novikov Circular Arc Gears: Geometry and Kinematics,” Proc. R. Soc, London, Series A403, pp. 313–340(1986).Google Scholar
10.Yonggang, S., “Curvature Radius of Disk Cam Pitch Curvs and Profile,” Proceedings of the 5th World Congress on Theory of Machine and Mechanisms,Montreal, pp. 1665–1668 (1987).Google Scholar
11.Colbourne, J. R., “The Curvature of Helicoids,” Mechanism and Machine Theory, Vol. 24, No. 3, pp. 213–221 (1989).CrossRefGoogle Scholar
12.Colbourne, J. R., “The Contact Stress in Novikov Gear,” Mechanism and Machine Theory, Vol. 24, No. 3, pp. 223–229 (1989).CrossRefGoogle Scholar
13.Evans, H. P. and Sindle, R. W., “Wildhaber–Novikov Circular Arc Gears: Elastohydrodynamics,” Journal of Tribology, Vol. 115, July, pp. 487–492 (1993).CrossRefGoogle Scholar
14.Tsay, C. B., “A Study on the Contact of the Wildhaber-Noviko Gear,” Journal of the Chinese Society of Mechanical Engineers, Vol. 15, No. 2, pp. 109–117(1994).Google Scholar
15.Lin, C. Y., Tsay, C. B. and Fong, Z. H., “Tooth Contact Analysis of Hypoid Gears,” Journal of the Chinese Society of Mechanical Engineers, Vol. 17, No. 3, pp. 241–249(1996).Google Scholar
16.Kang, Y. H., Liu, J. Y and Yan, H. S., “Curvature Analysis of Variable Pitch Cylindrical Cams with Conical Meshing Elements,” Mathematical and Computer Modelling, Vol. 19, No. 5, pp. 51–64 (1994).CrossRefGoogle Scholar
17.Kang, Y H. and Yan, H. S., “On the Geometric Characteristics of Hyperboloid of Revolution of One Sheet,” Journal of the Chinese Society of Mechanical Engineers, Vol. 15, No. 3, pp. 263–271 (1994).Google Scholar
18.Kang, Y. H. and Yan, H. S., “Curvature Analysis of Variable Pitch Cylindrical Cams with Hyperboloidal Meshing Elements,” Journal of Applied Mechanisms and Robotics, Vol. 1, No. 3, pp. 51–64 (1995).Google Scholar
19.Kang, Y. H. and Yan, H. S., “Curvature Analysis of Variable Pitch Lead Screws with Cylindrical Meshing Elements,” Journal of Canada Society of Mechanical Engineers, Vol. 20, No. 2, pp. 139–157 (1996).Google Scholar
20.Chang, W. I., Chiou, S. T. and Yan, H. S., “The Effect of Motion Curves on the Kinematic Performances of Variable Pitch Lead Screw Transmission Mechanisms with Ruled and Involute-Revolution Surface Meshing Elements,” Proceeding of the 12th Conference of the Chinese Society of Mechanical Engineers, Chia-Yi, pp. 189–197 (1995).Google Scholar
21.Litvin, F. L., “Relationships Between the Curvatures of Tooth Surfaces in Three-Dimension Gear System,” NASA Technical Memorandum, TM–75310(1977).Google Scholar
22.Litvin, F. L. and Gutman, Y., “A Method of Local Synthesis of Gears Grounded on the Connections Between the Principal and Geodesic Curvatures of Surfaces,” ASME Transactions, Journal of Mechanical Design, Vol. 103, pp. 114–125 (1981).CrossRefGoogle Scholar
23.Makino, H., Mechanisms and Automation Machines, Japanese Industrial Press (1976).Google Scholar
24.Weatherburn, C. E., Differential Geometry of Three Dimensions, Cambridge University Press (1955).Google Scholar