基于MATLAB的球管相贯空间曲线焊缝的数学模型  

Mathematical model based on MATLAB for intersection seam of sphere and tube

作　　者：赵洁[1,2] 胡绳荪[1,2] 申俊琦[1,2] 陈昌亮[2] 丁炜[1] 

机构地区：[1]天津大学天津市现代连接技术重点实验室,天津300072 [2]天津大学材料科学与工程学院,天津300072

出　　处：《焊接学报》2011年第8期89-92,117,共4页Transactions of The China Welding Institution

基　　金：国家自然科学基金资助项目(50975195);天津市自然科学基金资助项目(10JYBJC06500)

摘　　要：核电压力容器的焊接中,球面与圆管相贯复杂空间曲线焊缝的自动化焊接是焊接领域的难题,构建该相贯线焊缝的数学模型是研究其焊接问题的前提条件.研究结合球管相贯焊缝的实际情况采用MATLAB软件建立了球管相贯线焊缝的数学模型,将实际空间相贯线简化为平面曲线;考虑壁厚影响,通过增加球径和管径两个方向上的修正量△D和△d,对J形坡口焊缝模型作出修正.结果表明,通过MATLAB软件编程产生的可独立运行的图形用户界面GUI能够完成模型绘图、数据输出等功能,从而为该形状焊缝的机器人焊接与控制提供理论依据.The welding process of complex space curve,such as intersection seam of sphere and tube,is difficult in the field of welding automation,and the construction of a mathematical model of intersection seam is a prerequisite for the welding process.After a mathematical model of intersection curve of sphere and tube is established with MATLAB software,by further analysis,the intersection curve can be simplified to plane curve.By considering the thickness effects of the sphere,some amendments to the model of J-shaped groove weld are made by increasing△D and △d two corrections in the diameter directions of sphere and tube respectively.All functions such as graphics and output data,are integrated into a GUI (Graphics User Interface)based on MATLAB programming,and the GUI is converted to a standalone application which is efficient and convenient,which provided a theoretical basis for robot welding and controlling of this seam weld.

关 键 词：自动化焊接 球管相贯线 数学模型 图形用户界面 

分 类 号：TG409[金属学及工艺—焊接]