Energy-Based Initial Guess Estimation Method for One-Step Simulation

Energy-Based Initial Guess Estimation Method for One-Step Simulation
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DOI:
10.1080/15502280701578063
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发表时间:
2007-10
影响因子:
1.6
通讯作者:
Xiangkui Zhang;Sibo Hu;Zhikui Lang;Wei Guo;P. Hu
Xiangkui Zhang;Sibo Hu;Zhikui Lang;Wei Guo;P. Hu
中科院分区:
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文献类型:
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作者:
Xiangkui Zhang;Sibo Hu;Zhikui Lang;Wei Guo;P. Hu

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本文提出了一种新的有限元反问题初始解估计方法。逆有限元法的优点之一是可以在设计初期快速预测最终零件的成形性和初始毛坯轮廓,但最终零件上通常存在许多凸缘和凹陷区域。目前,很多初始估计方法都是基于投影算法的,对这些问题无能为力。为了处理重叠的问题,一个新的初始猜测估计方法被认为是基于能量模型,已被证明是强大的和有效的,当处理这些问题。采用动态显式算法求解该能量模型,由于动态显式算法的迭代特性,实现该算法的主要困难集中在计算时间上。针对这一困难,根据圣维南原理对基于能量的变形模型初始位置获取算法流程进行了修正,得到了更精确的初始位置,提高了迭代的收敛速度。此外,由于处理的咬边问题,新的初始解估计方法也有助于成功地应用逆有限元法的级进模领域。
A new initial solution estimation method for inverse finite element approach is proposed in this paper. One of the inverse finite element approach's advantages is that it can rapidly predict the formability of final parts and initial blank profile during the early design phase, but there usually exist many flange and concave areas on the final parts. At present, quite a number of initial guess methods are based on projection algorithms and they are helpless for these undercut issues. In order to deal with the overlap issues, a new initial guess estimation method is considered based on an energy model that has proven to be robust and efficient when dealing with these issues. A dynamic explicit algorithm is used to solve this energy model; the main difficulties of implementing this algorithm are focused on the computing time due to the iteration feature of the dynamic explicit method. In order to deal with this difficulty, the flow of the algorithm getting initial position of the energy-based deformable model is revised according to Saint-Venant's principle to obtain a more precise initial position, which has proven to improve the convergence speed of iteration. Furthermore, due to dealing with the undercut issues, the new initial solution estimation method also helps in the successful application of the inverse finite element method to the progressive die field.