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A new mapping technique to consider intermediate stages in multistep deep drawing

Shirin, M. B ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1177/0954406213509614
  3. Abstract:
  4. The inverse solution is helpful to determine the drawability of a part and drawing parameters at the initial design stage. The usual inverse algorithms consider the drawing process that occurs in one step and therefore they are not able to analyze the processes which need more than one drawing step. Therefore, multistep inverse solution has been used for such problems. The multistep inverse solution deals with finding the initial guesses of nodal positions on intermediate stages and solving inverse equations between two consecutive steps. In this paper, a new mapping method has been developed to find the initial nodal positions on intermediate stages and the unfolding technique has been applied to find the final nodal positions on the blank sheet. The proposed method would obtain a system of equations without convergence problems. Two examples have been considered to demonstrate the capability of the proposed modeling technique. First, a two-stage drawing process of a circular cup has been analyzed and the results have been compared with the experiment results. Second, in order to apply the technique on a non-axisymmetric part, a multistage drawing of a square cup has been examined and the results have been reported
  5. Keywords:
  6. Inverse finite element ; Multistep deep drawing ; Sheet metal forming ; Unfolding technique ; Algorithms ; Deep drawing ; Sheet metal ; Convergence problems ; Intermediate stage ; Inverse finite elements ; Mapping techniques ; Multi-step ; System of equations ; Two-stage drawing process ; Unfolding techniques ; Inverse problems
  7. Source: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ; Volume 228, Issue 9 , June , 2014 , Pages 1557-1569 ; ISSN: 09544062
  8. URL: http://pic.sagepub.com/content/228/9/1557