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Sensitivity Analysis of the Sheet Metal Stamping Processes Based on Inverse Finite Element Modeling and Monte Carlo Simulation

机译:基于逆有限元建模和蒙特卡罗模拟的钣金冲压过程的敏感性分析

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Sheet metal stamping is one of the most commonly used manufacturing processes, and hence, much research has been carried for economic gain. Searching through the literatures, however, it is found that there are still a lots of problems unsolved. For example, it is well known that for a same press, same workpiece material, and same set of die, the product quality may vary owing to a number of factors, such as the inhomogeneous of the workpice material, the loading error, the lubrication, and etc. Presently, few seem able to predict the quality variation, not to mention what contribute to the quality variation. As a result, trial-and-error is still needed in the shop floor, causing additional cost and time delay. This paper introduces a new approach to predict the product quality variation and identify the sensitive design / process parameters. The new approach is based on a combination of inverse Finite Element Modeling (FEM) and Monte Carlo Simulation (more specifically, the Latin Hypercube Sampling (LHS) approach). With an acceptable accuracy, the inverse FEM (also called one-step FEM) requires much less computation load than that of the usual incremental FEM and hence, can be used to predict the quality variations under various conditions. LHS is a statistical method, through which the sensitivity analysis can be carried out. The result of the sensitivity analysis has clear physical meaning and can be used to optimize the die design and / or the process design. Two simulation examples are presented including drawing a rectangular box and drawing a two-step rectangular box.
机译:钣金冲压是最常用的制造工艺之一,因此,经济增益携带了很多研究。然而,在文献中搜索,发现仍有许多问题未解决。例如,众所周知,对于相同的压力机,相同的工件材料和相同的模具,产品质量可能因许多因素而变化,例如工件材料的不均匀,装载误差,润滑等等,目前,很少有能够预测质量变化,更不用说有什么贡献质量变化。因此,车间仍需要试验和错误,导致额外的成本和时间延迟。本文介绍了一种预测产品质量变化并确定敏感设计/过程参数的新方法。新方法是基于逆有限元建模(FEM)和Monte Carlo仿真的组合(更具体地,拉丁超立体采样(LHS)方法)。具有可接受的精度,逆用率(也称为一步法FEM)需要比通常的增量有限元件的计算负荷更少,因此可用于预测各种条件下的质量变化。 LHS是一种统计方法,可以进行灵敏度分析。灵敏度分析的结果具有清晰的物理意义,可用于优化模具设计和/或过程设计。提出了两个仿真示例,包括绘制矩形盒并绘制两步矩形盒。

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