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    [9] CAO J, BOYCE M C. A predictive tool for delaying wrinkling and tearing failures in sheet metal forming [J]. ASME Journal of Engineering Materials and Technology, 1997, 119: 354-365.
    [10] NEIL K, CAO J. Estimation of optimal blank holder force trajectories in segmented binders using an ARMA model [J]. ASME Journal of Manufacturing Science and Engineering, 2003, 125:763-770.
    [11] SUN C Z, CHEN G L, LIN Z Q. Determining the optimum variable blank-holder forces using adaptive response surface methodology (ARSM) [J]. International Journal of Advanced Manufacturing Technology, 2004, 26: 23-29.
    [12] SHENG Z Q, JIRATHEARANAT S, ALTAN T. Adaptive FEM simulation for prediction of variable blank holder force in conical cup drawing [J]. International Journal of Machine Tools and Manufacture, 2004, 44: 487-494.
    [13] AYED L B, DELAMÉZIÈRE A, BATOZ J L. Optimization of the blank holder force distribution with application to the stamping of a car front door panel (Numisheet'99) [C]//The 6th International Conference and Workshop on Numisheet'05. MI, USA, 2005: 849-854.
    [14] LIN Z Q, WANG W R, CHEN G L. A new strategy to optimize variable blank holder force towards improving the forming limits of aluminum sheet metal forming [J]. Journal of Materials Processing Technology, 2007, 183(2): 339-346.
    [15] XU S, LANKER T, ZHANG J. Specification for BM1: Decklid inner panel [C]//The 6th International Conference and Workshop on Numisheet'05. MI, USA, American Institute of Physics, 2005:1137-1149.
    [16] Livermore Software Technology Corporation. LS-DYNA keyword user’s manual [M]. vol. 1, Version 971, California, Livermore.
    2.外文资料原文(与课题相关,至少1万印刷符号以上):
    Abstract: A VBHF (Variable Blank Holder Force) optimization strategy was employed to determine the optimal time-variable and spatial-variable BHF trajectories, aiming at improving the formability of automobile panels with aluminum alloy sheet. The strategy was implemented based on adaptive simulation to calculate the critical wrinkling BHF for each segmented binder of the Numisheet’05 deck lid in a single round of simulation. The thickness comparison of the stamped part under optimal VBHF and constant BHF shows that the variance of the four sections is decreased by 70%, 44%, 64% and 61%, respectively, which indicates significant improvement in thickness distribution and variation control. The investigation through strain path comparison reveals the fundamental reason of formability improvement. The study proves the applicability of the new VBHF optimization strategy to complex parts with aluminum alloy sheet.
    Key words: deep drawing; variable blank holder force; aluminum alloy sheet; formability
    1    Introduction
    Wrinkling and cracking are two key surface issues for deep drawing parts, besides which there are other product quality requirements including uniform thickness, strain distortion, springback, etc. Engineers and researchers would normally try to regulate one or several of the process parameters such as initial blank contour, friction condition, drawbead resistance and blank holder force (BHF, FBH)[1 4] to achieve successful  drawing parts free of above defects.
    In terms of BHF regulation, time-variable and spatial-variable BHFs occur in industrial deep drawing process, but typically not in an optimal manner[5]. Researchers started to build system for improving the application of variable blank holder force (VBHF) to reduce the work load associating with die surface grinding and cushion shimming. The first system established by HARDT and LEE[6] was designed to maintain a constant amount of buckling in unsupported region of the part. This work was continued by HARDT
    and FENN[7], who employed closed-loop control of sheet forming operation to determine optimal BHF trajectories. SIEGERT[8] designed a blank holder made up of rigid segmented sections, providing independent control over the material.
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