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本文中以刚性微凸体与可变形微凸体的相互作用模拟金属压力加工过程中模具与工件之间的摩擦过程,并用上限法分析所提出的模型。将数学模型进行多变量最优化处理后发现,金属压力加工过程中,除了可能发生工件上的微凸体与模具上的微凸体相互粘结、撕裂和犁沟等现象外,工件上的微凸体可能沿工件表面波浪式前进,形成塑性波,也可能被辗平而消失。在形成塑性波的条件下,摩擦系数与微凸体几何形状有关。但微凸体的连结强度对摩擦系数影响不大。微凸体的几何形状对工件表面下的塑性变形层的深度有显著的影响。实验结果证实了本文所提出的模型的前提的正确性以及部分理论分析结果。
In this paper, the interaction between the rigid asperities and the deformable asperities is used to simulate the friction between the mold and the workpiece during the metal pressure machining. The upper bound method is used to analyze the proposed model. The mathematical model for multivariate optimization and found that the metal pressure machining process, in addition to the workpiece may occur on the asperity and the mold asperities bonding, tearing and furrowing and other phenomena, the workpiece Asperities may swell along the surface of the workpiece to form plastic waves, may also be rolling out and disappear. In the formation of plastic wave conditions, the friction coefficient and asperity geometry related. However, the bond strength of asperities has little effect on the friction coefficient. The geometry of the asperities has a significant effect on the depth of the plastic deformation layer below the surface of the workpiece. The experimental results confirm the correctness of the premise of the model proposed in this paper and some theoretical analysis results.