纺织学报 ›› 2024, Vol. 45 ›› Issue (09): 228-234.doi: 10.13475/j.fzxb.20230902201

• 机械与设备 • 上一篇    下一篇

热转印系统色带传动过程张力分析与建模

吴建忠, 徐洋(), 盛晓伟   

  1. 东华大学 机械工程学院, 上海 201620
  • 收稿日期:2023-09-11 修回日期:2024-04-17 出版日期:2024-09-15 发布日期:2024-09-15
  • 通讯作者: 徐洋(1977—),女,教授,博士。主要研究方向为复杂系统建模及参数识别等。E-mail: xuyang@dhu.edu.cn
  • 作者简介:吴建忠(1999—),男,硕士生。主要研究方向为热转印机性能分析、色带张力建模与控制。
  • 基金资助:
    国家自然科学基金项目(51675094)

Tension analysis and modeling of ribbon drive process in thermal transfer printing systems

WU Jianzhong, XU Yang(), SHENG Xiaowei   

  1. College of Mechanical Engineering, Donghua University, Shanghai 201620, China
  • Received:2023-09-11 Revised:2024-04-17 Published:2024-09-15 Online:2024-09-15

摘要:

为保证热转印过程中薄膜色带传动稳定进而实现高质量转印,建立正确的热转印色带传动张力模型十分关键。首先,研究了热转印色带传动系统组成及转印原理,并根据色带传动路径分辊间段、放卷段和收卷段3阶段对色带传动系统张力进行了建模与分析。然后,结合热转印色带卷材的黏弹性分析张力形成机制,改进了卷绕系统经典张力公式,建立了辊间段薄膜色带张力模型。针对传动系统的放卷区域,分析了摩擦对薄膜色带传动张力的影响,提出张力下降系数以评估张力损失。考虑色带张力非线性时变的特点,利用步进电动机负载模型求解收卷区域色带张力。最后,通过对比仿真与实验所得的色带张力变化曲线,验证了模型的准确性,为后续张力控制方案设计奠定了基础。

关键词: 热转印, 薄膜色带, 张力建模, 黏弹性, 张力下降系数, 非线性时变

Abstract:

Objective In the thermal transfer printing process, the thermal transfer film ribbon causes drive tension changes in the the film ribbon when winding through various structures of the drive system, which often results in the phenomena of ribbon relaxation, unclear transfer quality and even ribbon breakage. In order to ensure the stability of the film ribbon drive during the thermal transfer printing process and to achieve high quality transfer printing, this paper analyzes and establishes a tension model of the thermal transfer printing ribbon drive system.

Method Based on studying the composition of the thermal transfer printing ribbon drive system and the transfer printing principle, the drive path of the ribbon was divided. Combined with the viscoelasticity of the thermal transfer printing ribbon web, a film ribbon tension model was established for the inter-roll section. The intluence of friction on the tension of the film ribbon drive was analyzed, a tension drop coefficient was proposed to evaluate the tension loss in the unwinding area, and a stepper motor load model was constructed to solve the ribbon tension in the winding area.

Results The composition and transfer printing principle of the thermal transfer printing ribbon drive system were studied, and the drive path of the ribbon was delineated. The Voigt model was adopted to describe the viscoelasticity of film ribbons under small deformation, and combined with Hooke's law and Amontons-Coulomb's law, the tension formation mechanism of the inter-roll section was analyzed, and the classical tension equation of the winding system was improved to establish an equivalent tension model of film ribbons in the complex domain. By studying the composition of the drive system and drive principle, it was found that the ribbon tension in the unwinding section was mainly affected by three types of friction, i.e., rolling friction of the traction roller, relative sliding friction of the ribbon and the traction roller, and contact friction of the print head downward pressure and movement. However, in the actual operation of the system, the weakening effect of the tension was only considered by the rolling friction of the traction roller, and therefore, a tension drop coefficient was put forward to evaluate the loss of tension and to solve for the unwinding. Therefore, a tension drop coefficient was proposed to evaluate the tension loss and solved the unwinding section tension. Through the kinetic analysis of the winding section, it was found that the ribbon tension was nonlinear time-varying and was affected by the change in speed and the diameter of the ribbon roll. A stepper motor load model was constructed, and the transfer printing function of the tension in the winding section was deduced from the relevant parameters of the stepper motor. Taking the thermal transfer printing mixed-base ribbon as an example, the experimental platform of the ribbon drive system was built for tension test, and the simulation and experimental data are compared, it was found that the simulation was the same as the experimental data in intermittent mode, and the rebound phenomenon occurred in continuous mode, which was about 4 s periodicity.

Conclusion The thickness and width of thermal transfer printing ribbons affect their tension properties, and the classical tension model is improved by combining their viscoelasticity. Friction and changes in the stepper motor input pulse cause fluctuations in the ribbon drive tension. The simulation results in the intermittent mode are basically consistent with the experimental results, and the ribbon tension model is accurate, which can be used as a reference for the subsequent research on the design of the tension control scheme.

Key words: thermal transfer printing, film ribbon, tension modeling, viscoelasticity, tension reduction coefficient, nonlinear time-varying

中图分类号: 

  • TS103.9

图1

色带传动系统组成及转印原理图"

图2

辊间段张力模型"

图3

摩擦引起的张力下降"

图4

薄膜色带收卷示意图"

图5

步进电动机负载模型"

图6

色带传动系统实验平台"

表1

张力下降系数"

n Rn/mm μx θn/(°) rn
1 52.85 0.01 93.34 1.015
2 42.85 0.01 98.61 1.015
3 32.85 0.01 103.73 1.016
4 22.85 0.01 108.76 1.016
5 12.85 0.01 113.73 1.016

图7

张力损失曲线"

表2

薄膜色带及系统的主要参数"

色带
宽度/
mm
色带
密度/
(g·cm-3)
色带
厚度/
μm
弹性
模量/
MPa
辊子
间距/
mm
装配
误差/
%
107.0 1.4 8.0 3 000~4 000 186.0 20~50

图8

不同模式下的薄膜色带张力曲线"

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