基于双展开平面映射法的板料成形多步快速模拟

A Different Fast Simulation of Multi-Step Sheet Metal Forming Based on Double Spreading Plane Mapping Method

初始解的确定是板料冲压成形有限元快速分析中的一个重要环节,初始解的好坏严重影响分析计算的速度以及求解的收敛性。文章在总结前人研究成果的基础上提出一种新的网格映射方法——"双展开平面映射法"快速获得中间构型初始解。在此基础上,将上述方法用于板料成形的多步快速模拟,试算表明所提方法正确、有效,为板料成形多步快速模拟中的中间构型准确建立奠定了重要基础。

Ref. 10, authored by Tang et al, dealt with the same topic but we obtain the initial solution of intermediate configuration quickly by a new method named ＂double spreading plane mapping method＂. In the full paper, we explain in section 1 in some detail our method and its effectiveness; in this abstract, we just give a very concise summary of section 1, which is named ＂the algorithm＂ and its three subsections are： constructing the sliding constraint surface （subsection 1.1）, the principles of the double spreading plane mapping method （subsection 1.9.） and a numerical example （subsection 1.3）. In subsection 1.2, with the help of Fig. 1 in the full paper, we explain a five-step procedure. In accordance with the procedure, we discretize the double surface of a sliding constraint into the shape similar to a plane blank and spread it on a plane and then map it vertically. Our method enhances the universality of the mapping procedure and reduces mapping difficulties. In subsection 1.3, we apply our method to a numerical example, whose results, shown in Figs. 3 through 6, show the effectiveness of our method.