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求解空间两异面直线公垂距离的计算方法
引用本文:马广韬,徐厚生,王莹君.求解空间两异面直线公垂距离的计算方法[J].山东理工大学学报,2007,21(4):103-105.
作者姓名:马广韬  徐厚生  王莹君
作者单位:沈阳建筑大学理学院 辽宁沈阳110168(马广韬,徐厚生),沈阳市市政工程设计研究院 辽宁沈阳110015(王莹君)
摘    要:基于极值原理,进行了空间两异面直线公垂线距离的分析,通过推导得出求解异面直线公垂线距离的计算方法,给出了垂足点坐标与最短距离计算的表达式.通过实例分析验证了研究方法的有效性,弥补了图解法的不足,为工程计算提供了依据.

关 键 词:异面直线  公垂距离  极值原理
文章编号:1672-6197(2007)04-0103-03
修稿时间:2007-01-20

Computing method for determing the minimum distance between non-uniplanar lines
MA Guang-tao,XU Hou-sheng,WANG Ying-jun.Computing method for determing the minimum distance between non-uniplanar lines[J].Journal of Shandong University of Technology:Science and Technology,2007,21(4):103-105.
Authors:MA Guang-tao  XU Hou-sheng  WANG Ying-jun
Institution:1. School of Science, Shenyang Jianzhu University, Shenyang 110168, China; 2. Shenyang Municipal Engineering Design and Research Institute, Shenyang 110015, China
Abstract:Based on optimizations,minimum distance problem between non-uniplanar straight line is studied.Through deducing,expression formula of pedal coordinates and minimum distance is given.Effectiveness is proved by engineering computing examples.It overcomes deficiencies of graphical determination,and can be used to solve engineering problem.
Keywords:non-uniplanar straight line  minimum distance  optimization principle
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