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针对金属闭式冷弯成形的多道次孔型轧制特点,考虑轧前管坯的轮廓与轧后异型管的轮廓存在拓扑等价关系和边界域的不动点性质,以双圆弧插值函数描述异型管的复杂轮廓,建立两者之间的形心映射数学模型,实现各道次孔型设计,绘制异型管闭式冷弯成形过程的辊花图。以铝合金圆管为坯料在试验轧机上进行了扇形管冷弯成形轧制实验,结果表明:轧后的扇形管内外轮廓变形柔顺且无凹凸点,壁厚偏差小于±0.5 mm,角部误差小于±1.5°,满足GB/T 6728-2002国标要求,研究结果为异型管冷弯成形的轧辊辊花设计提供了一种新方法。
In view of the multi-pass rolling characteristics of metal closed cold forming, considering the topological equivalence relationship between the profile of the rolling preform and the profile of the rolled profile tube and the fixed point property of the boundary region, The function describes the complex contour of the special-shaped tube, establishes the mathematical model of centroid mapping between the two, realizes the pass-hole design of each pass and draws the roll-flower pattern of the closed-tube cold-formed process of the special-shaped tube. The experimental results show that the inner and outer profile of the scalloped tube after rolling is soft and devoid of bump, the wall thickness deviation is less than ± 0.5 mm, the angular error Less than ± 1.5 ° to meet the GB / T 6728-2002 national standard requirements, the results of the cold forming for the profiled roll roller design provides a new method.