圆弧连接几何作图法探析  

Study on the Geometric Plotting of Arc Connections

作　　者：李星瑞 王泽荫 石广田[1] LI Xing-rui;WANG Ze-yin;SHI Guang-tian(Lanzhou Jiaotong University,Lanzhou Gansu 730070,China;Gansu Institute of Mechanical and Electrical Engineering,Tianshui Gansu 741001,China;不详)

机构地区：[1]兰州交通大学,甘肃兰州730070 [2]甘肃机电职业技术学院,甘肃天水741001

出　　处：《机械研究与应用》2022年第2期194-196,199,共4页Mechanical Research & Application

摘　　要：在《机械制图》中对已知的两端圆弧用第三段圆弧进行相切连接,采用的方法是几何作图的方法,在教学过程中发现,许多版本的教材中对几何作图时的条件描述不够详细,导致作图时会产生异议甚至无法按照要求完成作图。文中采用数学分析的方法,结合几何作图方法,分别对三种圆弧连接中存在的问题进行举例分析,得到在不产生歧义的情况下完成圆弧连接作图。对绘制圆弧连接学习设计人员提供一定的参考和帮助。In Mechanical Drawing,the method of geometric drawing is adopted to tangentially connect the two ends of known arcs with the third arc.In the teaching process,it is found that the conditions of geometric drawing in many versions of textbooks are not detailed enough,resulting in objections or even failure to complete the drawing as required.In this paper,based on the mathematical analysis method and the geometric drawing method,problems in the three kinds of circular arc connections are analyzed with examples to complete the arc connection drawing without ambiguity.It would provide some reference and helpfor the learners of drawing arc connection.

关 键 词：圆弧连接 数学分析 几何作图 

分 类 号：TG445[金属学及工艺—焊接]