Adaptive Design Method of Discrete Variable Crown Roll Contour
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摘要: 变凸度辊形因其优异的凸度控制能力而在板型控制方面应用广泛，但变凸度辊形由于自身的结构特点导致其相对普通辊形而言有着非对称磨损的情况，且大部分的变凸度辊形的设计过程中考虑的主要因素都是辊形的凸度控制能力。针对上述情况，提出了一种离散化变凸度辊形曲线的自适应设计方法，采用遗传算法对辊形数据进行优化。该设计方法以凸度控制能力和轧辊磨损量为辊形评价指标，以该指标建立遗传算法的适应度函数，优化设计辊形曲线。对比CVC（Continuously variable crown）辊形，发现通过遗传算法优化设计后的离散化辊形在保证凸度控制能力的前提下提高了轧辊的抗磨损能力。相较常规设计方法，该设计方法也具有更好的拓展性和灵活度。Abstract: The variable crown roll contour is widely used in the shape control of strip rolling due to its excellent crown control ability, but the variable crown roll contour has its asymmetrical wear due to its own structural characteristics. And the main factor considered in the design process of the variable crown roll contour is the crown control ability. Aiming at the above situation, an adaptive design method of discrete variable crown roll contour is proposed. The genetic algorithms is used to optimize the roll contour data. The design method uses the crown control ability and the roll wear amount as the roll shape evaluation index, and the fitness function of the genetic algorithm to optimize the design roll curve is established. Comparing the CVC(Continuously Variable Crown) roll contour, it is found that the discrete roll shape optimized by the genetic algorithm improves the wear resistance of the roll under the premise of ensuring the convexity control ability. Comparing with the conventional design method, the design method also has better expandability and flexibility.
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Key words:
- roll contour /
- discretization /
- adaptive algorithms /
- asymmetric wear /
- crown control
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表 1 CVC辊形系数表
系数 基础数值 浮动范围 A0 309.622 3 0 A1 0.001 77 -0.01A1~0.01A1 A2 -2×10-6 -0.01A2~0.01A2 A3 0.6667×10-9 -0.01A3~0.01A3 
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表 2 辊形设计参数
参数名及单位 数值 辊身长度L/mm 2 550 轧制长度L/m 30 轧制压力Pa/(kN·mm-1) 8.5 工作辊直径Dw/mm 420 轧辊磨损综合影响系数kw0 0.174 单位轧制压力影响系数kw1 0.194 带钢宽度范围内不均匀磨损系数kw2 0.265 辊径对整体磨损的影响系数kw3 2.933 辊径对轧制力的影响系数kw4 0.342 多项式系数a0 57.442 多项式系数a1 0.948 多项式系数a2 1.446 凸度调节能力系数k1 0.800 轧辊磨损系数k2 0.200
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