Variable fidelity design based surrogate and artificial bee colony algorithm for sheet metal forming process

  • Authors:

  • Guangyong Sun;Guangyao Li;Qing Li

  • Affiliations:

  • State Key Laboratory of Advanced Design and Manufacture for vehicle Body, Hunan University, Changsha, 410082, China and State Key Laboratory of vehicle NVH and Safety Technology, China Automotive ...;State Key Laboratory of Advanced Design and Manufacture for vehicle Body, Hunan University, Changsha, 410082, China;School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia

  • Venue:
  • Finite Elements in Analysis and Design
  • Year:
  • 2012

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Abstract

Optimization integrated with either one step solver (low fidelity model) or incremental nonlinear finite element solver (high fidelity model) has respectively gained increasing popularity in the design of sheet metal forming process to improve product quality and shorten lead time. However, the one step solver directly incorporated with optimization may result in inadequate design precision, while the incremental method often leads to a prohibitively low computing efficiency. In order to take the full advantages of both the one step solver and incremental solver, we present a variable fidelity algorithm which integrates the one step solver with incremental solver for optimizing sheet metal forming process in this study. In the variable fidelity method established, we need to determine the difference between the two solvers at some predefined experimental points firstly, and then constructing a corrected function using surrogate models for compensating the responses of the one step solver at other points. Different surrogate models, such as response surface methodology (RSM), Kriging (KRG), radial basis function (RBF) and support vector regression (SVR), are considered and compared for best modeling accuracy in this paper. The compensated low fidelity model can be used as a high fidelity model in the optimization process. In this study, we adopt the artificial bee colony (ABC) algorithm to obtain the global optimum. To demonstrate the capability of the variable fidelity method combined with the ABC algorithm, the optimal design of draw-bead restraining forces for an automobile inner panel is exemplified herein. The results show that the optimization with variable fidelity method presented significantly improves the computational efficiency and formability of the workpiece.