• CN:11-2187/TH
  • ISSN:0577-6686

›› 1993, Vol. 29 ›› Issue (1): 52-57,8.

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机械工程中空间角度自动计算的研究

孙伯鲁;曲伟石   

  1. 郑州工学院
  • 发布日期:1993-01-01

A STUDY ON SPACE ANGLE AUTOMATIC CALCULATION IN MECHANICAL ENGINEERING

Sun Bolu;Qu Weishi   

  1. Zhengzhou Institute of Technology
  • Published:1993-01-01

摘要: 本文以Monge画法几何学理论为基础,针对三维空间角度组成的复杂性,经过对繁杂空间关系的分析、归纳,按其形成环境的共性,科学地划分为基本型、线面型和线线型三大类。根据各类型的特点,将有关理论作了补充和完善。利用单一元素“走向”的概念,建立了线面型“分区规律性(走向律)”和线线型“走向结合律”和几何模型。全面提示了空间角度计算的内在规律,导出了用二维的方法求解的通用函数关系式,并编制了计算程序。经过大量的静态计算和动态分析、优化的实践,验证了对现有理论和方法的包容性,兼有计算速度快和精度高的特点。

关键词: 空间角度, 自动计算

Abstract: Based on the theory of MONGE descriptive geometry, the paper aims at the complexity of three dimension space angles, be analyzing and inducing of tarries space relations, according to the common features of its forming environment, the three dimension space angles are scientifically divided into three types , essential type, line-plane type and line-line type. According to the feature of varies types, makes the concerned theory complementally and perfect. By using the concept of “Walk-direction” of single element, establishes the geometry model of line-plane type “Plane area-sharing law(Walk direction law)” and line-line type “Walk-direction associative law”. The paper comprehensively reveals the intrinste law of space angle calculation, derives the common function expressions which use two dimension method, and calculation software is programmed also. The practice of large quantities of static calculation and dynamic analyze, optimization proves that the established model has the compatibility to the existing theory and methods, and also has the features of high calculation speed, high accuracy.

Key words: Automatic calculation, Space angle