Web tension and its distribution are key factors in the operation of web systems, the roll to roll (R2R) manufacturing of flexible electronics brings even higher requirements for it. To effectively get the web tension at any position on the R2R process line, a new web tension estimation method by measuring the local contact force is investigated in this paper, which can not only estimate the web tension, but also the web tension distribution. This study attempts to derive the approximate fitting formula between the local contact force and the web tension. Firstly, the schematic of web tension estimation method by local contact force measurement is presented; Then the mass spring model is used to derive the governing equations, which is discretized and solved by Improved Euler method. And approximate fitting formula of the local contact force with tension is derived based on the numerical results. Finally, to validate the fitting formula, the experiments are carried out to detect the local contact force and estimate both the web tension and its distribution.

卷筒纸张力及其分布是卷筒纸系统运行的关键因素，柔性电子产品的卷对卷（R2R）制造对其提出了更高的要求。为了有效地获得R2R生产线上任意位置的幅材张力，本文研究了一种通过测量局部接触力来估计幅材张力的新方法，该方法不仅可以估计幅材张力，而且可以估计幅材张力分布。这项研究试图得出局部接触力和幅材张力之间的近似拟合公式。首先，给出了通过局部接触力测量卷筒纸张力的方法示意图；然后使用质量弹簧模型导出控制方程，并通过改进的欧拉方法离散化并求解。并根据数值结果推导了带拉力的局部接触力的近似拟合公式。最后，为验证拟合公式，进行了实验以检测局部接触力并估计纸幅张力及其分布。