王砚,田振,武吉梅,武秋敏.基于解析法的非均匀张力作用下运动薄膜的稳定性[J].包装工程,2016,37(15):111-115.
WANG Yan,TIAN Zhen,WU Ji-mei,WU Qiu-min.Stability for Moving Membrane under the Non-uniform Tension Based on Analytical Method[J].Packaging Engineering,2016,37(15):111-115. |
| 基于解析法的非均匀张力作用下运动薄膜的稳定性 |
| Stability for Moving Membrane under the Non-uniform Tension Based on Analytical Method |
| 投稿时间：2016-01-11 修订日期：2016-08-10 |
| DOI： |
| 中文关键词: 非均匀张力 印刷运动薄膜 解析法 横向振动及稳定性 |
| 英文关键词: non-uniform tension moving membrane analytical method transverse vibration and stability |
| 基金项目:国家自然科学基金（11272253）；陕西省自然科学基金（2014JM7290） |
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| 中文摘要: |
| 目的 针对高速印刷运动薄膜在传输制备过程中由于相邻导纸辊等支撑副的平行度误差，料膜沿宽度方向张力分布易出现不均匀性问题，研究提高印刷设备的工作稳定性的方法。方法 根据D’Alembert原理建立运动薄膜的横向振动微分方程，引入无量纲量，将微分方程转化为无量纲形式，利用解析法求解运动薄膜的复频率方程。结果 得到不同参数下无量纲复频率与无量纲速度的变化曲线，当增大张力系数、张力比，或者减小长宽比时，薄膜系统达到发散失稳的临界无量纲速度增大，运动薄膜系统越稳定。结论 获得了在不同张力比、张力系数、长宽比等参数下薄膜系统达到发散失稳的临界无量纲速度。 |
| 英文摘要: |
| During the preparation of the high-speed moving membrane, due to the parallelism error of adjacent support part such as guide roller, tension of the film is prone to uneven distribution along the width direction. This work aims to study approaches to improve the working stability of printing equipment. The transverse vibration differential equation was derived according to the D’Alembert principle and transformed into dimensionless form by introducing the dimensionless quantity. The calculation of complex frequency equation of an axially moving membrane was done by the analytical method. The curves of the dimensionless frequency with the dimensionless speed under different parameters were obtained. When the tension coefficient and tension ratio were increased or length width ratio was decreased, the critical dimensionless velocity of the membrane system was increased, and the system was more stable. In conclusion, the critical dimensionless velocity of the thin membrane system under different tension ratio, tension coefficient and length width ratio is obtained through the study. |
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