### 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

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.

CLC Number:

• TG48
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