Surrogate POD Models for Parametrized Sheet Metal Forming Applications

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The aim of this work is to present a POD (Proper Orthogonal Decomposition) based surrogate approach for sheet metal forming parametrized applications. The final displacement field for the stamped work-piece computed using a finite element approach is approximated using the method of snapshots for POD mode determination and kriging for POD coefficients interpolation. An error analysis, performed using a validation set, shows that the accuracy of the surrogate POD model is excellent for the representation of finite element displacement fields. A possible use of the surrogate to assess the quality of the stamped sheet is considered. The Green-Lagrange strain tensor is derived and forming limit diagrams are computed on the fly for any point of the design space. Furthermore, the minimization of a cost function based on the surrogate POD model is performed showing its potential for solving optimization problems.

Info:

Periodical:

Key Engineering Materials (Volumes 554-557)

Edited by:

Ricardo Alves de Sousa and Robertt Valente

Pages:

919-927

DOI:

10.4028/www.scientific.net/KEM.554-557.919

Citation:

H. Mohamed et al., "Surrogate POD Models for Parametrized Sheet Metal Forming Applications", Key Engineering Materials, Vols. 554-557, pp. 919-927, 2013

Online since:

June 2013

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Price:

$38.00

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