1. Proceedings
  2. I3M
  3. 2018
  4. EMSS
  5. 10.46354/i3m.2018.emss.028

Rapid 3D shape forming computation with piecewise heating lines using a fifth order spline formulation

  • a Henri Champliaud  ,
  • b Valentin Vieillot  ,
  •  c David Provencher  ,
  • d Ngan Van Lê  
  • a, b, b, cDepartment of Mechanical Engineering École de technologie supérieure
    Montreal, QC, Canada
Cite as
Champliaud H., Vieillot V., Provencher D., Van Lê N. (2018). Rapid 3D shape forming computation with piecewise heating lines using a fifth order spline formulation. Proceedings of the 30th European Modeling & Simulation Symposium (EMSS 2018), pp. 204-209. DOI: https://doi.org/10.46354/i3m.2018.emss.028

Abstract

An originally developed fifth order piecewise spline formulation is used to compute how a flat plate will be progressively deformed to a specific shape by a set of sequentially applied linear heating lines. In order to reproduce the complex trajectories realized for example by skilled workers in shipbuilding to achieve a 3D curved hull one should be able to impose continuous non-linear or piecewise heating lines over a workpiece. In this paper curved heating lines are decomposed in a series of straight line segments to allow the application of the methodology developed for linear heating lines. The deforming effect of each segment is computed and added to the previous achieved geometry. Results show the potential of the approach that would eventually lead to an optimized shaping procedure for dieless forming.

References

  1. Adan Vega, Sherif Rashed, Hidekazu Murakawa 2015. Analysis of cross effect on inherent deformation during the line heating process Part 1 Single crossed heating lines. Marine Structures, 40, 92-103.
  2. Champliaud H., Feng Z., Gholipour J., Provencher D., Tousignant D. 2016. Piecewise fifth order spline interpolation for line heating forming process. Proceedings of the IMECE conference, Phoenix, AZ, USA, 11-17 November.
  3. Champliaud H., Feng Z., Lê, V.N., Gholipour J. (2015). Line Heating Forming: Methodology and
    Application Using Kriging and Fifth Order Spline Formulations, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 9 (9), 1461-1466.
  4. Chu G., Lin Y., Chen G. 2016. A green line heating forming technology for ultra-thick plate.
    International journal advanced manufacturing technology, DOI 10.1007/s00170-016-8574-8
  5. Doo Jang C., Choon Moon S. 1998. An Algorithm to Determine Heating Lines for Plate Forming by Line Heating Method. Journal of Ship Production, 14 (4), 238-245.
  6. Feng Z., Champliaud H., Sabourin M., Morin S. 2013. Optimal blank design based on FE method for blades of large Francis turbines. Simulation Modelling Practice and Theory, 36, 11-21.
  7. Gao H., Sheikoleislami G., Dearden G., Edwardson P., 2017. Reverse analysis of scan strategies for controlled 3D laser forming of sheet metal. Procedia Engineering 183, 369-374.
  8. Goldak J. 1984. A New Finite Element Model for Welding Heat Sources. Metallurgical Transaction,15B, 299-305.
  9. MATLAB R2017b (9.3.0.713579), Natick, Massachusetts : The MathWorks Inc., 2017.
  10. Morin O. 2006. Calcul des contraintes résiduelles dues au soudage par la méthode des éléments finis. Thesis (Master). École de Technologie Supérieure, University of Quebec.
  11. Park J., Kim D., Mun S.H., Kwon K., Lee J., Hee K.K. 2016. Automated thermal forming of curved plates in shipbuilding: system development and validation, International Journal of Computer
    Integrated Manufacturing, http://dx.doi.org/10.1080/0951192X.2016.1145800.
  12. Provencher D. 2017. Étude du procédé de mise en forme par application de lignes de chauffe effectuées sur plaques d’acier inoxydable AISI 304L. Thesis (Master). École de technologie supérieure, University of Quebec.
  13. Reutzel E.W., Zhang L., Michaleris P. 2006. A differential geometry approach to analysis of
    thermal forming. International Journal of Mechanical Sciences 48, 1046-1062.
  14. Reutzel E.W. 2007. Deformations analysis and path planning for thermal forming of complex shape. Thesis (PhD), The Pennsyvalnia State University. Proceedings of the European Modeling and Simulation Symposium, 2018