基于计算机建模的圆柱体相贯线展开图研究  

Study on Unfolded Drawing of Intersection Line of Cylinders Based on Computer Modeling

作　　者：杜瑞锋 但敏[2] 王云馨 DU Ruifeng;DAN Min;WANG Yunxin(Geography Department,Xinzhou Normal University,Xinzhou 034000,China;College of Architecture Engineering and Surveying,Inner Mongolia Technical College of Construction,Hohhot 010070,China)

机构地区：[1]忻州师范学院地理系,山西忻州034000 [2]内蒙古建筑职业技术学院建筑工程与测绘学院,内蒙古呼和浩特010070

出　　处：《忻州师范学院学报》2024年第5期18-25,共8页Journal of Xinzhou Teachers University

基　　金：忻州师范学院校级教学改革创新项目课题(JG202419);内蒙古自治区教育科学研究“十四五”规划课题(NZJGB2022015)。

摘　　要：相对于画法几何中曲面立体相贯线展开图方法,应用计算机技术探求一种更实用的展开图求解方法。在计算机辅助设计技术(CAD)层面上创建圆柱相贯体三维模型、提取相贯线轮廓线和空间数据;在科学数据处理技术层面上应用MATLAB编程完成相贯线空间数据的导入、逐点排序和坐标变换过程,生成主管和支管的相贯线展开图;在可行性技术层面上开展主管和支管相贯线的缩尺模型验证,表明展开图生成过程的正确性和可行性,将本文方法命名为计算机建模法。充分利用AutoCAD的建模优势和MATLAB的科学计算优势,实现了圆柱体相贯线的正确求解过程,显示了其较好的技术性和实用性,可为建筑钢结构工程中相贯线加工制作提供实用的解决方案,也可为画法几何相贯线教学提供启发性和创新性的教学案例。Compared to the method of unfolding the intersecting lines of curved surfaces in descriptive geometry,a more practical method for solving the unfolding diagram was explored by using computer technology.At the level of computer aided design(CAD)technology,a three-dimensional model of cylindrical intersecting bodies is constructed along with separated intersecting lines and extracted spatial data.At the level of scientific data processing technology,MATLAB is applied to complete the main steps of importing data,point by point sorting,coordinate transformation,and generating data of intersecting line,and the planar unfolded drawings of the main and branch pipes separately.At the feasibility technical level,based on scaled model,validation of the intersecting body and intersecting lines of the main and branch pipes are carried out,indicating the feasibility of the method proposed in the paper,which is summarized as the computer modeling method.By fully utilizing the modeling advantages of AutoCAD and the scientific calculation advantages of MATLAB,the correct solution process of cylinder intersection lines has been achieved,demonstrating its good technical and practical capabilities.It can provide practical solutions for the processing and production of intersection lines in the architectural steel structure engineering,as well as inspiring and innovative teaching cases for intersection line in descriptive geometry.

关 键 词：画法几何 相贯线 展开图 投影 坐标变换 

分 类 号：TH126[机械工程—机械设计及理论]