空间角投影规律性的研究-《郑州大学学报(工学版)》

文章信息/Info

Author(s):: Sun Bolu;; Department of Mechanical Engineering, Zhengzhou Institute of Technology,

Keywords:: Space angle; projection regularity; quantitative exchange; equivalent angle line

摘要:: 本文是文献[1]的续篇。专门研究“线线型”空间角的投影规律、定量变换的自动定位及其2~n等分角线投影的确定等问题。文中通过对该类型空间角的组成形式进行统计分类,确立了适用于所有组合形式的几何模型,完善了当前广泛使用的、建立在某种特定条件下的空间角及其正投影间的函数关系表达式,并揭示了它们之间的内在规律。除可静态地解决空间角的计算外,还可动态地研究空间角定量变换(包含一般位置非直角投影存真)的自动定位,并首次提出了解决角度2~n等分角线投影的数学表达式。

Abstract:: This article is the sequel of the literature [1]. Specializing in the projection rules of the "line" spatial angle, the automatic positioning of quantitative transformation, and the determination of the projection of the 2 ~ n and other angle line projection. In the article, through statistical classification of the composition of this type of spatial angle, it has established a geometric model suitable for all combined forms, improves the currently widely used space angle and its functional relationship expression based on a certain conditions, and reveals the inherent laws between them. In addition to solving the calculation of the spatial angle, it can also dynamically study the automatic positioning of the quantitative transformation of the spatial angle (including the general position of non -right -angle projection), and for the first time, it proposes a mathematical expression that solves the angle projection of angle lines such as 2 ~ N.