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Some improvements on the one-step inverse isogeometric analysis by proposing a multi-step inverse isogeometric methodology in sheet metal stamping processes

机译:通过在钣金冲压工艺中提出多步逆等物测定方法,对一步逆等物射分析进行一些改进

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Recently, isogeometric methodology has been successfully implemented in one-step inverse analysis of sheet metal stamping processes. However, these models are not capable of analyzing forming processes which require severe deformation and/or several forming stages. This paper presents a multi-step inverse isogeometric methodology to enhance the precision of one-step models in predictions of the initial blank, strain distributions, and drawability of the formed parts. This methodology deals with the minimization of potential energy, deformation theory of plasticity, and considering membrane elements. The presented methodology utilizes the NURBS basis functions to create the final, middle, and blank geometries, and also to analyze sheet metal deformation. The characteristics of the applied formulations make it possible to simultaneously observe the effects of changing part parameters on its formability. One advantage of this approach is that the linear system of governing equations is solved without concerning about the convergence. In addition, the presented methodology is able to successfully generate the middle geometry and to restrict the movements of physical nodes along the middle surface, by presenting a new NURBS-based mapping and sliding constraint technique. The performance of the presented model is evaluated under two classical problems including forming of a rectangular box and a two-step drawing of a circular cup. In forming of the rectangular box, the results of the presented model are compared with those of experiment and forward FEM simulation. Also, in the second problem, the presented approach is only compared with forward FEM simulation. Results comparisons indicate the credibility of the presented model in prediction of forming parameters at a low computation time.
机译:最近,在金属板冲压过程的一步逆分析中成功地实现了异步方法。然而,这些模型不能分分析需要严重变形和/或几个形成阶段的形成过程。本文提出了一种多步逆等物测数方法,以增强连续的坯料,应变分布和所形成部件的可拉伸性的预测中的一步模型的精度。该方法涉及最小化势能,可塑性变形理论,以及考虑膜元件。呈现的方法利用NURBS基本功能来创建最终,中间和空白几何形状,以及分析金属板变形。所应用的制剂的特性使得可以同时观察改变部分参数对其成形性的影响。这种方法的一个优点在于,在没有关于收敛的情况下解决了控制方程的线性系统。此外,所提出的方法能够通过呈现新的基于NURBS的映射和滑动约束技术来成功地生成中间几何形状并限制沿中间表面的物理节点的运动。在两个经典问题下评估所提出的模型的性能,包括形成矩形盒和圆形杯的两步图。在形成矩形盒时,将所提出的模型的结果与实验和前向FEM模拟进行比较。而且,在第二个问题中,呈现的方法仅与前向有限元模拟进行比较。结果比较表明所提出的模型的可信度在低计算时间预测形成参数的预测。

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