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Design Method and Numerical Control Machining Principle for an Arbitrary n-polygon Noncircular Section

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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.

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Correspondence to Wu Yi-jie.

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Translated from Journal of Zhejiang University (Engineering Science), 2004, 38(7) (in Chinese)

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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

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  • DOI: https://doi.org/10.1007/s11465-005-0005-8

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