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山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (6): 71-75.doi: 10.6040/j.issn.1672-3961.0.2015.111

• 机械工程 • 上一篇    下一篇

管-环相贯焊接装配面及开孔数学模型与仿真

王强, 徐雷, 彭少峰   

  1. 四川大学制造科学与工程学院, 四川成都 610065
  • 收稿日期:2015-04-20 修回日期:2015-06-23 出版日期:2015-12-20 发布日期:2015-04-20
  • 通讯作者: 徐雷(1973-),女,四川成都人,副教授,硕士研究生导师,主要研究方向为机械制造系统自动化,计算机辅助设计与制造.E-mail:xulei216@yeah.net E-mail:xulei216@yeah.net
  • 作者简介:王强(1990-),男,四川成都人,硕士研究生,主要研究方向为计算机辅助与制造.E-mail:729318578@qq.com
  • 基金资助:
    四川省科技支撑计划资助项目(2014KJT08)

Mathematical model and simulation of pipe-annulus welding assemble surface and opening

WANG Qiang, XU Lei, PENG Shaofeng   

  1. School of Manufacturing Science & Engineering, Sichuan University, Chengdu 610065, Sichuan, China
  • Received:2015-04-20 Revised:2015-06-23 Online:2015-12-20 Published:2015-04-20

摘要: 针对复杂管-环桁架节点相贯线参数方程求解困难的问题,提出一种基于Newton迭代法的求解方式。以圆管和环管的参数方程建立Newton迭代函数,利用相贯体之间的几何约束关系,选择合适的迭代初始值,逐次逼近,求解相贯线参数方程的解;推导了管-环相贯焊接装配面实际切割角计算公式;将Newton迭代法对骑坐式和插入式两种带钝边坡口的开孔方式进行推广。Newton迭代法编程简单、收敛速度快,适于复杂相贯体相贯线的求解。对比Newton迭代法和实体布尔运算所生成的相贯线,结果表明:Newton迭代求解法偏差极小,准确性和可靠性好。

关键词: 管-环桁架节点, 实际切割角, 参数方程, Newton迭代法, 钝边

Abstract: Since the parametric equation of complex pipe-annulus truss could not be solved easily, a solution based on Newton iteration was presented. Newton iterative function was established based on the parametric equations of pipe and annulus, by utilizing the geometric constraints between intersecting bodies and successive approximation with an appropriate initial iteration value, the parametric equation was solved. The actual cutting angle of pipe-annulus intersecting on its mating surface was deduced; two types of pipe-annulus intersecting mating surface with a blunt edge, the riding type and the inserting type, were extended. Newton iteration is suitable for solving parametric equation of complex intersecting bodies' intersecting line for its advantage of simple programming and fast convergence. Contrasted the intersecting line between iterative algorithm and entity Boolean operations, the results demonstrated that the deviation of Newton iterative is small, and its accuracy and reliability was considerable.

Key words: Newton iteration, actual cutting angle, blunt edge, parametric equation, pipe-annulus intersecting

中图分类号: 

  • TG48
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