Hartmann函数在椭圆管道拼接中的应用
Application of Hartmann Function in Elliptic Tubes Blending
DOI: 10.12677/AAM.2019.811199, PDF,  被引量    国家自然科学基金支持
作者: 乌仁高娃, 陶吐格：内蒙古通辽职业学院，内蒙古 通辽；白根柱*：内蒙古通辽职业学院，内蒙古 通辽；内蒙古民族大学，内蒙古 通辽
关键词: Hartmann函数；异面直线；光滑拼接；参数变换；椭圆管道；Hartmann Function； Non-Coplanar Line； Smooth Blending； Parameter Transformation； Elliptical Tubes
摘要: 本文将Hartmann函数推广到空间情形，实现了两个异面直线的光滑拼接。但是参数变换p（λ，t）不再具备调节空间曲线的功能。在用Hartmann函数光滑拼接轴线异面管道轴线的基础上，进一步研究了椭圆管道光滑拼接问题，很好地解决了给定的两个轴线异面椭圆管道长半轴和短半轴不相对应时过渡管道的构造问题。
Abstract: In this paper, the Hartmann function is extended to the case of space, and smooth blending between two non-coplaner straight lines is realized. But parameter transformation p（λ，t） no longer has the function of adjusting space curve. Based on smoothly blending the axes of tubes whose perimeters are non-coplaner with Hartmann function, the problem of smooth blending of elliptical tubes is further studied, and the problem of the construction of transition tube is solved well when the major semi-axis and the minor semi-axis of the given non-coplaner elliptical tubes are not corresponding to each other.
文章引用：乌仁高娃, 陶吐格, 白根柱. Hartmann函数在椭圆管道拼接中的应用[J]. 应用数学进展, 2019, 8(11): 1700-1707. https://doi.org/10.12677/AAM.2019.811199

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