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Mathematical modeling of laser-assisted deep drawing

机译:激光辅助拉深的数学建模

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Although laser manufacturing with material removal (cutting) and with material addition (welding, rapid prototyping) has reached a high degree of industrial maturity, processes with constant mass and volume as forming techniques did not find a broad application up to now with the exception of laser bending. For efficient workpiece shaping the laser is not used as the sole source of energy but rather for a selective weakening of the workpiece in those regions, where strong deformations are achieved conventionally by mechanical forces.A first application of the latter idea is deep drawing, where laser beams weaken the material near the drawing edge, where the material is bent. Thus, a beneficial reduction of the drawing force is obtained, also allowing processing of materials, that are difficult to draw due to their low ductility.To predict the upper limit for the reduction of drawing forces, mathematical modeling of the forces is necessary. Experiments have shown that a reduction of the drawing force up 25percent can easily be achieved. A mathematical analysis of laser-assisted deep drawing carried out recently is presented in the actual paper and shows that even much larger reductions are feasible.
机译:尽管具有材料去除(切割)和材料添加(焊接,快速成型)的激光制造已经达到了高度的工业成熟度,但是迄今为止,具有固定质量和体积的工艺作为成型技术尚未得到广泛应用,除了激光弯曲。为了使工件高效成形,激光不被用作唯一的能源,而是选择性地削弱了那些区域中的工件,在这些区域中,传统上通过机械力会产生强烈的变形。后一种想法的第一个应用是深冲,其中激光束会削弱材料在图纸边缘附近的弯曲度。因此,获得了有利的拉拔力减小,还允许处理由于其延展性低而难以拉拔的材料。为了预测拉拔力减小的上限,必须对力进行数学建模。实验表明,可以很容易地将拉力降低25%。实际论文中对最近进行的激光辅助深冲进行了数学分析,结果表明,更大的减小是可行的。

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