2006, Volume 1, Issue 1
Frontiers of Mechanical Engineering >> 2006, Volume 1, Issue 1 doi: 10.1007/s11465-005-0005-8
Design Method and Numerical Control Machining Principle for an Arbitrary n-polygon Noncircular Section
Institute of Modern Manufacture Engineering, Zhejiang University, Zhejiang Province, Hangzhou 310027, China
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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 selfadjusting 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 ?m and the dimensional accuracy was within 8 ?m. 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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