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轧钢生产过程属于塑性加工过程，关键作用物理量是压力。而轧机在压力加工过程中是靠轧辊辊缝的调节来改变轧制压力达到控制轧件出口厚度的目的。轧件目标厚度是通过静态轧制压力模型预设定，弹跳方程，辊缝设定和其它静态模型得到保证[2]。对于轧机机架后面直接设有测厚仪的监控AGC系统，其比例积分控制的框图如下所示：
图1 监控AGC
，
图中 为比例积分环节， 为滞后环节，即测厚仪测得的厚度 是 时间以前轧出的厚度 ， 为反馈用的测厚仪测的成品厚度的偏差量。而外扰由轧辊偏心和来料厚差组成。但是对于高精度产品，静态模型精度往往不够，需要考虑动态模型，尤其是支撑辊偏心影响不容忽略。
2．2动态模型
在轧制过程中，轧辊辊系的弹性势能具有对称性，它的最简单形式是：
与 是与弹性形变相关的系数，与 比较，通常 是一较小的系数。此系统的恢复力为
在轧辊与轧件接触弧内，由于摩擦系数和变形阻力的综合作用，轧辊必然受到阻尼力，阻尼力通常是与速度成比例，即 （ 为阻尼系数）。
在轧制过程中，支撑辊还受到轧辊偏心力的周期外力作用，多台轧机的偏心综合到轧件纵向，对于偏差，轧制力可表为[3]（包含基波和许多高次谐波）
我们主要研究其基波 对钢材厚度的影响。
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