非均匀张力作用下多层膜结构动力稳定性研究  

Dynamic Stability of Multilayer Film Structure under Non-uniform Tension

作　　者：邵明月 张淼 武吉梅 庆佳娟 王静 SHAO Ming-yue;ZHANG Miao;WU Ji-mei;QING Jia-juan;WANG Jing(School of Printing Packaging Engineering and Digital Media Technology,Xi'an University of Technology,Xi'an 710054,China;School of Mechanical and Precision Instrument Engineering,Xi'an University of Technology,Xi'an 710048,China)

机构地区：[1]西安理工大学印刷包装与数字媒体学院,西安710054 [2]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《包装工程》2022年第15期195-202,共8页Packaging Engineering

基　　金：国家自然科学基金(52075435);陕西省自然科学基金(2021JQ-480);陕西省教育厅自然科学专项项目(21JK0805)。

摘　　要：目的印刷电子薄膜要求涂层均匀、套印精度高,文中旨在研究不同参数对柔性电子多层膜动态稳定性的影响,为柔性电子膜的稳定传输提供理论指导。方法应用Hamilton原理建立运动多层膜结构的振动微分方程,采用隐式龙格库塔法求解离散得到的状态方程,根据Floquet理论计算系统|λ_(k)|=1时对应的Ω和c_(1)。结果在对边简支对边固支边界条件下,运动多层膜稳定区域更大。此外,减小平均速度、张力比、非均匀张力系数,增大长宽比,可以提高运动多层膜的稳定性,其中平均速度变化的影响最为显著。结论通过建立实际生产中运动柔性电子多层膜数学模型,得到了不同参数对运动多层膜动态稳定性影响规律,研究结果为柔性电子多层膜稳定传输,提高涂层均匀性、叠印精度提供了理论依据。The work aims to study the effects of different parameters on the dynamic stability of flexible electronic multilayer film considering that electronic film requires uniform coating and high overprint lamination accuracy,so as to provide theoretical guidance for the stable transmission of flexible electronic film.The vibration differential equation of the moving multilayer film structure was established by Hamilton’s principle,the discrete equation of state was solved by the implicit Runge-Kutta method,and the correspondingΩand c1 of the system|λ_(k)|=1 were calculated according to the Floquet theory.The stable region of the moving multilayer film was larger when the film was simply supported on oppo-site sides and fixed on opposite sides.In addition,reducing the average speed,tension ratio,non-uniform tension coeffi-cient,and increasing the aspect ratio could improve the stability of the moving multilayer film,and the effect of the aver-age speed change was the most significant.Through the establishment of the mathematical model of the moving flexible electronic multilayer film in actual production,the effect law of different parameters on the dynamic stability of the moving multilayer film is obtained.The research results provide a theoretical basis for stable transmission of flexible electronic multilayer film and improvement of coating uniformity and overprint lamination accuracy.

关 键 词：非均匀张力 变速度 多层膜结构 动态稳定性 

分 类 号：TB486[一般工业技术—包装工程]