非均匀张力作用下运动矩形薄膜振动控制研究

Vibration control of moving rectangular membranes under variable tension

以非均匀张力作用下的轴向运动印刷薄膜为研究对象,建立变张力轴向运动印刷薄膜的计算模型,导出了轴向运动薄膜在面内变张力作用下的振动微分方程;采用有限差分法,对印刷运动矩形薄膜的振动微分方程进行离散,推导出运动薄膜振动控制系统的状态方程。利用次最优控制法,对运动薄膜横向振动进行控制研究。结果表明,采用次最优控制法对非均匀张力作用下运动薄膜进行输出反馈控制,能够在较短时间内将薄膜的振动衰减到稳定状态,从而提高印品质量。通过对比不同张力变化系数下的响应曲线,得到张力变化系数越小,控制效果越好的结论,该结论为提高印刷设备的工作稳定性提供了理论依据。

The axial motion printing membrane under non-uniform tension is studied, with a com- puting model established for the axially moving printing membrane under variable tension. The differential equations to the axially moving membrane under variable tension are derived. With the discretization dynamic equations to the moving printing membrane obtained by using the fi- nite-difference method, the state equations for the vibration control system are derived. The sub- optimal vibration control method is applied to the study of the transverse vibration control of the moving membrane. The research results show that the vibration of the membrane can be con- trolled effectively within a short time by using the suboptimal vibration control method, so as to improve the quality of printed products. A comparison of different tension coefficient response curves shows that the control effect is better when the tension coefficient decreases. The conclu- sion provides a theoretical basis for improving the work stability of printing equipment.