RESEARCH ON THE NUMERICAL FITTING METHOD OF THE SPIRAL SURFACE CROSS-SECTION
The screw rod is widely used in the oil drilling, chemical industry, light industry and so on. Its machining accuracy affects directly the quality and efficiency of instruments. Thus a deep research on the machining process of the screw rod is urgently needed. The fitting method of the spiral surface cross-section is one of the key issues. It was proposed that cubic spline and parametric cubic spline interpolation function were taken to approximate the spiral surface crosssection by comparing different methods of curve fitting. Coefficients of them were derived, fitting equations were presented and examples were taken to verify the fitting results. At the same time, key issues on the skewness, tangent vectors of ends and so on were involved both in the process of cubic spline and in parametric cubic spline fittings. Corresponding fitting function can be chosen on the basis of foregone data points, so as to provide smooth curves to generate accurate tool path.
three-moment equation parametric cubic spline curve fitting rotor profile
Zhao wei Tang shijun Hu deji Ma suchang Yan liwen
Tianjin Key Laboratory of High Speed Cutting and Precision Machining, TUTE, China
国际会议
International Technology and Innovation Conference 2009(2009技术与创新国际学术会议)
西安
英文
1-4
2009-10-12（万方平台首次上网日期，不代表论文的发表时间）