中文摘要：

把卷筒纸印刷机的运动纸带作为运动矩形薄膜处理，建立了多色组印刷情况下纸带的横向振动模型。将中间印刷滚筒对纸带的约束视为中间支承，并用线分布的约束反力代替，建立了纸带的运动微分方程，采用Laplace变换方法得到了纸带的频率方程。分析了运动纸带振动频率与纸带运动速度及纸带张力之间的关系。该研究为优化印刷机结构及改善纸带在印刷过程中的动态特性提供了理论依据。

英文摘要：

A transverse vibration model of multicolor printing group was established on the assumption that the moving paper tape of web--fed printing press was the rectangular thin film. The differential equations of the moving paper tape was established by regarding restriction on the intermediate printing cylinder as intermediate supporting, which was replaced with constraint reaction of the linear distribution. Then the frequency equation was obtained by Laplace transform method. Finally, the relationship between vibration frequency and velocity of the moving paper tape, and the relationship between vibration frequency and tension of paper tape were analyzed. It provides a theoretical basis for the optimized structural design of printing presses and amendment of the dynamic characteristics of paper tape.