JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2015, Vol. 45 ›› Issue (6): 71-75.doi: 10.6040/j.issn.1672-3961.0.2015.111

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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

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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

CLC Number: 

  • TG48
[1] POPOVIC O. Sustainable aspects of longspan lightweight steel structures[J].Journal of Constructional Steel Research, 1998, 46(1-3):288-289.
[2] YANG H G, HU S J, ZHANG Y S, et al. Experimental study of single sided sheet to tube resistance spot welding[J].Science and Technology of Welding and Joining, 2007, 12(6):530-535.
[3] 康永.油气管道工程[M].北京:中国石化出版社,2008.
[4] 董石麟,罗尧治,赵阳.大跨度空间结构的工程实践与学科发展[J].空间结构,2005,11(4):3-10. DONG Shilin, LUO Yaozhi, ZHAO Yang. Engineering practices and discipline development of largespan space structure[J].Spatial Structures, 2005, 11(4):3-10.
[5] 赵基达,钱基宏,宋涛,等.我国空间结构技术进展与关键技术研究[J].建筑结构,2011,41(11):57-63. ZHAO Jida, QIAN Jihong, SONG Tao, et al. Progress and key technology of China's spatial structure[J].Building Structure, 2011, 41(11):57-63.
[6] DREWS P, STRAKE G. Welding in the century of information technology[J]. Welding in the World, 1994, 34(1):1-20.
[7] BLACKBURN J. Advancements in pipe cutting operations[J].The Abrucatir, 1994, 4:14-15.
[8] 王旗华,殷国富,徐雷,等.管桁结构管端焊接装配面模型及切割精度控制[J].焊接学报,2011,32(10):81-84. WANG Qihua, YIN Guofu, XU Lei, et al. Pipe end mating face model and cutting precision control method for pipe truss structure[J]. Transactions of the China Welding Institution, 2011, 32(10):81-84.
[9] 黄世游,徐雷,任清川,等.管管相贯开孔及焊接装配面模型与RP仿真[J]. 焊接学报, 2014, 35(6):53-56. HUANG Shiyou, XU Lei, REN Qingchuan, et al. Simulation and rapid prototyping of intersecting holes and welding pipe fitting face[J]. Transactions of the China Welding Institution, 2014, 35(6):53-56.
[10] 陈永秋,白雪. 带钝边马鞍形焊接坡口数控切割数学模型[J].焊接学报,2010,31(7):91-94. CHEN Yongqiu, BAI Xue. Mathematical model for NC cutting saddle type of welding groove with edge[J].Transactions of China Welding Institution, 2010, 31(7):91-94.
[11] 王国栋, 阎祥安, 肖聚亮. 管环相贯焊接坡口数控切割研究[J].中国机械工程,2005,16(6):561-563. WANG Guodong, YAN Xiangan, XIAO Juliang. Study on NC cutting of welding groove for intersecting of pipe and annulus[J]. China Mechanical Engineering, 2005,16(6):561-563.
[12] 苏永琳. 相贯线空间管桁架CAD/CAM技术研究[D]. 济南:山东大学, 2006:26-28. SU Yonglin. Research on intersecting line of space truss with CAD/CAM technology[D]. Jinan:Shandong University, 2006:26-28.
[13] 胡兵,李清朗.现代科学工程计算基础[M]. 成都:四川大学出版社,2003,9.
[14] ORTEGA J M,RHEINBOLDT W C. Iterative solution of nonlinear equations in several variables[M].New York, London:Academic Press, 1970.
[15] 孔祥鼎,夏炳仁.海洋平台建造工艺[M].北京:人民交通出版社,1993.
[16] 谢新房,王国栋.多管相贯焊接坡口数控切割研究[J].工程图学学报,2007,28(4):150-155. XIE Xinfang,WANG Guodong. Numerical-controlled cutting of multi-pipe intersection[J].Journal of Engineering Graphics, 2007, 28(4):150-155.
[17] 聂晓根,刘艳斌,曾露莎.管件数控火焰切割割炬轨迹建模[J].工程图学学报,2008,29(3):145-150. NIE Xiaogen, LIU Yanbin, ZENG Lusha. Modeling of flame incision tracks for NC flame cutting of pipe joints[J]. Journal of Engineering Graphics, 2008, 29(3):145-150.
[18] 李小刚,吕碧峰,姚伟伟,等.相交双管的焊接装配接触线[J].焊接学报,2003,24(4):39-42. LI Xiaogang, LU Bifeng, YAO Weiwei, et al. Study on contacting line of two intersecting pipes in welding assembly[J]. Transactions of the China Welding Institution, 2003, 24(4):39-42.
[19] 肖聚亮,阎祥安,王国栋,等.管锥相贯焊接坡口数控切割[J].中国机械工程,2005,26(5):69-72. XIAO Juliang, YAN Xiangan, WANG Guodong, et al. Numerical control cutting of welding groove for intersecting of pipe and con[J]. China Mechanical Engineering, 2005, 26(5):69-72.
[20] 王旗华,殷国富,徐雷,等.切割带钝边的管道焊接坡口的数学模型及仿真[J]. 焊接学报, 2012, 33(3):77-80. WANG Qihua, YIN Guofu, XU Lei, et al. Mathematical model and simulation of pipe welding groove with blunt cutting edge[J]. Transactions of China Welding Institution, 2012, 33(3):77-80.
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