锻压技术

四辊卷板机轴辊位移的一种计算方法

英文标题：A calculation method of roller displacement for four-roller bending machine

作者：汪兴陈柏金向青林

单位：华中科技大学

分类号：TG335

出版年,卷(期):页码：2021,46(2):154-159

摘要：

四辊卷板机现有的卷制工艺数学模型通常未考虑非对称卷圆时卷板曲率中心的偏移对下辊位置的影响。在考虑卷板机弯卷过程中板材回弹的基础上，结合数学-力学的分析，确定卷板曲率中心偏移后下辊的精确位移，建立板材弯矩和受力与侧辊和下辊位移之间的关系，提出了四辊卷板机轴辊位移的一种计算方法；通过弯矩和压力确定剩余直边与下辊位置角φb之间的几何关系，避免了剩余直边按经验取值而导致的计算误差，计算出的剩余直边符合实际生产经验。试验结果表明，通过传统理论计算得到的侧辊相对位移误差在2.2%~2.4%之间，改进后的计算方法误差为1.3%，计算出的剩余直边约为板厚的1.5倍，与传统理论中预估剩余直边为板厚的1~2倍相符，该试验结果证明了改进后计算方法的有效性。新方法表明，在弯卷过程中可以由不同的轴辊位移与下辊压力的组合得到同一成形半径。

The existing mathematical model of rolling process for four-roller bending machine usually does not consider the influence of curvature center offset for plate on the position of lower roller during asymmetric roll bending. Therefore, on the basis of considering the springback of plate in the roll bending process of bending machine, combined with the analysis of mathematics and mechanics, the precise displacement of lower roller was determined after the plate curvature center was shifted, the relationship between the bending moment and force of plate and the displacements of side and lower rollers was established, and a calculation method of roller displacement for four-roller bending machine was proposed. Furthermore, the geometric relationship between residual straight edge and position angle of lower roller φb was determined by bending moment and pressure, the calculation error caused by the empirical value of residual straight edge was avoided, and the calculated residual straight edge was in line with the actual production experience. The experiment results indicate that the relative displacement error of side roller calculated by the traditional theory is 2.2%-2.4%, the error calculated by the improved method is 1.3%, and the calculated residual straight edge is about 1.5 times the plate thickness, which is consistent with the estimated residual straight edge in the traditional theory with 1-2 times the plate thickness. Thus, the experimental results prove the effectiveness of the improved calculation method, and the new method shows that the same forming radius can be obtained by the combination of different roller displacements and lower roller pressures during the roll bending process.

基金项目：

汪兴（1995-），男，硕士研究生，E-mail：wangxinghust@qq.com；作者简介：陈柏金（1965-），男，博士，教授，E-mail：chenbaijin@sina.com

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