Hartmann函数在椭圆管道拼接中的应用  

Application of Hartmann Function in Elliptic Tubes Blending

作　　者：乌仁高娃[1] 陶吐格 白根柱 

机构地区：[1]内蒙古通辽职业学院,内蒙古 通辽 [2]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

出　　处：《应用数学进展》2019年第11期1700-1707,共8页Advances in Applied Mathematics

基　　金：国家自然科学基金项目资助(11561052),浙江省教育厅一般项目资助Y (201636628)。

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。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.

关 键 词：Hartmann函数 异面直线 光滑拼接 参数变换 椭圆管道 

分 类 号：G63[文化科学—教育学]