Abstract
By analyzing the structure characteristics of arbitrary n-polygon noncircular sections, mathematical formulas among the characteristic parameters were set up, and a theorem for designing this kind of sections was deduced by mathematical induction method. Based on the mechanistic transmission principle, the control theorems for the numerical control (NC) grinding of arbitrary n-polygon noncircular sections and the control model for the multicoordinate motion were built. A feed rate self-adjusting method was proposed to uniform the grinding speed with the changes of sectional curvature. Then, an NC machine tool for grinding n-polygon noncircular sections was developed. The test results of the grinded parts showed that the section profiles accorded with the design demands: the roughness was less than 0.32 μm and the dimensional accuracy was within 8 μm. The results prove that the proposed theorems and method can effectively direct the design and manufacture of the polygonal noncircular connection.
Similar content being viewed by others
References
Zella L. and Jetter K., Comparison of torque transmitting shaft connectivity using a trilobe polygon connection and an involute spline, ASME J. Mech. Des., 2000, 122: 130–135
Czyzewski T. and Odman M., Analysis of contact stress and deformation in a trilobe polygonal connection, ASME J. Eng. Ind., 1998, 100: 212–217
Beitz W. and Reinholz R., Untersuchung des dauerfestigkeits verhaltens von P3G-Profil-Welle-Nabe-Verbindungenbei nterschiedlichen belas-tungen, DFG-Forsch-vorhaben be, 1991, 479: 47–51
Wu Y., Study on Forming Principle and NC Machining Technique for Polygon Noncircular Surface, Hangzhou: Zhejiang University, 1999 (in Chinese)
Wu Y. and Liu C., Study on design approach of giant magnetostrictive actuator, J. Zhejiang Univ. Eng. Sci., 2004, 38(6): 747–750 (in Chinese)
Wang B. and Wang W., Study on surfacing quality in copying grinding, J. Northeast Univ. Technol., 1991, 12(2): 135–139 (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Journal of Zhejiang University (Engineering Science), 2004, 38(7) (in Chinese)
Rights and permissions
About this article
Cite this article
Wu, Yj., Leng, Hb. Design Method and Numerical Control Machining Principle for an Arbitrary n-polygon Noncircular Section. Front. Mech. Eng. China 1, 71–75 (2006). https://doi.org/10.1007/s11465-005-0005-8
Issue Date:
DOI: https://doi.org/10.1007/s11465-005-0005-8