多步逆成形有限元法中间构型初始解预示算法

发布时间：2018-03-13 07:35

本文选题：覆盖件成形　切入点：多步逆成形法　出处：《机械工程学报》2015年24期 　论文类型：期刊论文

【摘要】：在逆成形有限元法中,为考虑加载路径的影响,针对不同成形类型阶段引入中间构型,整个过程被划分为多阶段成形过程,即多步逆成形有限元法,一个好的中间构型初始解的构造是其中的关键问题之一。针对中间构型初始解的构造,提出一种基于滑移约束曲面的节点反向映射法:利用板材的纯几何弯曲效应构造出弯曲构型,经过伪最小面积法优化后生成空间滑移约束曲面;投影展平的最终构型网格面到展平滑移约束曲面网格中,利用面积坐标计算出所有投影节点的坐标;投影节点反向映射回到空间滑移约束曲面上,构造出对应中间构型的初始解。另外,针对中间构型初始解构造中可能出现部分节点无投影区域的问题,给出一种扩展空间滑移约束曲面轮廓的解决方法。零件的数值算例验证相应算法的可行性与有效性。
[Abstract]:In inverse forming finite element method (FEM), in order to consider the influence of loading path, the intermediate configuration is introduced in different forming stages, and the whole process is divided into multi-stage forming process, that is, multi-step inverse forming finite element method. The construction of a good intermediate initial solution is one of the key problems. A nodal reverse mapping method based on slip constrained surface is proposed. The bending configuration is constructed by using the pure geometric bending effect of the plate and the spatial slip constrained surface is generated after the pseudo-minimum area method is optimized. By using the area coordinate to calculate the coordinates of all the projection nodes, the projection nodes are mapped back to the spatial slip constrained surface. The initial solution corresponding to the intermediate configuration is constructed. In addition, in order to solve the problem that some nodes may have no projection region in the construction of the initial solution of the intermediate configuration, A method to solve the problem of extended spatial slip constrained surface contours is presented. Numerical examples of parts verify the feasibility and validity of the corresponding algorithm.
【作者单位】：大连理工大学汽车工程学院;
【分类号】：TG306

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