Database for Real-Time Loading Path Prediction for Tube Hydroforming Using Multidimensional Cubic Spline Interpolation

Abstract Tube hydroforming (THF) is a metal-forming process that uses a pressurized fluid in place of a hard tool to plastically deform a given tube into a desired shape. In addition to the internal pressure, the tube material is fed axially toward the die cavity. This process has various applications in the automotive, aerospace, and bicycle industries. Accurate coordination of the fluid pressure and axial feed, collectively referred to as a loading path, is critical to THF. Workable loading paths are currently determined by trial and error, which can be time consuming. This study discusses an innovative technique for developing an interactive, real-time database that would be able to predict loading paths for many THF components and hence reduce the computational time required. By classifying most of the commercial THF parts into families, parameters such as material properties, part geometry, and tribological factors were simulated by category and stored in the database. Multidimensional cubic spline interpolation was implemented to enable an end user to request from the database a loading path for a wide range of conditions. Test results from the database for different THF families were shown to approximate the simulated results. In addition to reducing the computation time, the use of interpolation techniques eliminates the need for carrying out multiple simulations for similar THF parts.

[1]  S. H. Zhang,et al.  The technology of the hydro-bulging of whole spherical vessels and experimental analysis , 1989 .

[2]  Christian Habermann,et al.  Multidimensional Spline Interpolation: Theory and Applications , 2007 .

[3]  Per Nordlund Adaptivity and wrinkle indication in sheet metal-forming , 1998 .

[4]  Ch. Hartl,et al.  Research and advances in fundamentals and industrial applications of hydroforming , 2005 .

[5]  B. J. Mac Donald,et al.  Determination of the optimal load path for tube hydroforming processes using a fuzzy load control algorithm and finite element analysis , 2004 .

[6]  Lorenzo M. Smith,et al.  Double-sided high-pressure tubular hydroforming , 2003 .

[7]  Nader Asnafi,et al.  Theoretical and experimental analysis of stroke-controlled tube hydroforming , 2000 .

[8]  M.S.J. Hashmi,et al.  Estimation of machine parameters for hydraulic bulge forming of tubular components , 1997 .

[9]  Mgd Marc Geers,et al.  An adaptive simulation approach designed for tube hydroforming processes , 2005 .

[10]  Nader Asnafi Analytical modelling of tube hydroforming , 1999 .

[11]  Shi-Hong Zhang,et al.  Hydroforming Highlights: Sheet Hydroforming and Tube Hydroforming , 2004 .

[12]  Taylan Altan,et al.  An overall review of the tube hydroforming (THF) technology , 2001 .

[13]  Muammer Koç Investigation of the effect of loading path and variation in material properties on robustness of the tube hydroforming process , 2003 .

[14]  N. Papamichael,et al.  End Conditions for Cubic Spline Interpolation , 1979 .

[15]  Ralf Dipl Ing Rieger,et al.  Recent developments in hydroforming technology , 2000 .

[16]  Larsgunnar Nilsson,et al.  On process parameter estimation for the tube hydroforming process , 2007 .

[17]  G. Phillips Interpolation and Approximation by Polynomials , 2003 .

[18]  Taylan Altan,et al.  Tube hydroforming: state-of-the-art and future trends , 2000 .

[19]  C. Labergere,et al.  Application of optimal design and control strategies to the forming of thin walled metallic components , 2002 .

[20]  Yu Xu,et al.  Hydroforming of aluminum extrusion tubes for automotive applications. Part II: process window diagram , 2004 .

[21]  Paul L. Fackler,et al.  Applied Computational Economics and Finance , 2002 .

[22]  Ken-ichi Manabe,et al.  Effects of process parameters and material properties on deformation process in tube hydroforming , 2002 .

[23]  C. T. Kwan,et al.  Application of abductive network and FEM to predict an acceptable product on T-shape tube hydroforming process , 2004 .

[24]  Suwat Jirathearanat,et al.  Virtual process development in tube hydroforming , 2004 .

[25]  F. Dohmann,et al.  Tube hydroforming—research and practical application , 1997 .

[26]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[27]  Yu Xu,et al.  Influences of generalized loading parameters on FLD predictions for aluminum tube hydroforming , 2008 .

[28]  Z. C. Xia,et al.  Failure Analysis of Tubular Hydroforming , 2000, Manufacturing Engineering.

[29]  Joakim Lundqvist,et al.  Numerical simulation of tube hydroforming : adaptive loading paths , 2004 .

[30]  M. A. Karkoub,et al.  Modelling Deformation of Hydroformed Circular Plates Using Neural Networks , 2002 .

[31]  Wolfgang Rimkus,et al.  Design of load-curves for hydroforming applications , 2000 .