目的 为了优化精密涂布印刷机的设计，并研究在精密涂布过程中薄膜的传输稳定性。方法 将空气阻力模化为随从力，通过微分求积法，分析随从力、张力比和长宽比对薄膜稳定性的影响。结果 通过编程计算分析得到，相同条件下的对边固支对边自由的不稳定区域大于四边固支的不稳定区域，且随着张力比的增加，系统的稳定区域逐渐减小。结论 薄膜在相同随从力的作用下，张力比对薄膜振动的稳定性有显著影响。为精密涂布印刷机的优化设计制造以及精密涂布过程中薄膜的传输稳定性提供理论指导和依据。

This study aims to optimize the design of precision coating presses and study the transport stability of membrane during precision coating. The air resistance was modeled as a follower force. The influences of the follower force, the tension ratio and the aspect ratio on the membrane stability were analyzed by the differential quadrature method. Through programming and calculation, it was found that the unstable region of the edge-supporting edge was larger than that of the four-sided fixed edge under the same conditions, and the stable region of the system decreased with the increase of the tension ratio. The results show that under the same follower force, the tension ratio has a significant effect on the stability of the membrane vibration. This study provides theoretical guidance and basis for the optimal design and manufacture of precision coating presses and the transmission stability of membrane during precision coating.