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Background <p>Considering the non-uniformity in the temperature distribution of the actual hot air flow field within the drying unit of the Shaanxi Beiren CL80 photovoltaic backsheet coating laminator. This paper investigates the vibration stability and resonance characteristics of printed PET film under non-uniform hot-air temperature conditions.</p> Methods <p>Based on the established temperature-dependent elastic modulus model under non-uniform hot air flow conditions, the vertical hot air impact is simplified as an external excitation force. Utilizing the energy method and Hamilton's principle, a nonlinear partial differential equation for the vibration of printed PET film under non-uniform hot air temperature conditions is formulated. The derived partial differential equation is discretized using the Galerkin method and solved via multiscale analysis. Steady-state solution stability analysis was conducted using linear stability analysis, Lyapunov stability theory, and Hurwitz stability criteria to derive stability conditions for the system. Through MATLAB programming, the system's amplitude-frequency response curve was calculated. </p> Results <p>The main resonance characteristics of the printed polyethylene terephthalate film (PET film) were analyzed under the influence of parameters such as the external hot air excitation force, drying hot air temperature, and film movement speed.The stability conditions for the printed PET film vibration system were determined, and the amplitude-frequency response curve of the system was plotted, revealing the influence of key parameters—such as the external hot-air excitation force, the temperature of the drying hot air, and the film movement speed—on the system’s primary resonance characteristics.</p> Conclusions <p>The vibration model for printed PET film under a non-uniform hot-air temperature field established in this paper captures the dynamic characteristics of the film during the drying process. The stability conditions and resonance characteristics identified in this study provide a theoretical basis for optimizing the parameters of the drying unit in photovoltaic backsheet coating and laminating machines, as well as for ensuring the stable operation of printed PET film.</p>

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The Nonlinear Vibration Characteristics of printed PET Film Under a Non-uniform Hot Air Temperature Field

  • 期刊论文

  • 发表日期：

    2026年5月29日

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  • Mingyue Shao,
  • Wan Chen,
  • Jimei Wu,
  • Xingshui Zhao,
  • Yijun Chen,
  • Dingqiang Liu

摘要

Background

Considering the non-uniformity in the temperature distribution of the actual hot air flow field within the drying unit of the Shaanxi Beiren CL80 photovoltaic backsheet coating laminator. This paper investigates the vibration stability and resonance characteristics of printed PET film under non-uniform hot-air temperature conditions.

Methods

Based on the established temperature-dependent elastic modulus model under non-uniform hot air flow conditions, the vertical hot air impact is simplified as an external excitation force. Utilizing the energy method and Hamilton's principle, a nonlinear partial differential equation for the vibration of printed PET film under non-uniform hot air temperature conditions is formulated. The derived partial differential equation is discretized using the Galerkin method and solved via multiscale analysis. Steady-state solution stability analysis was conducted using linear stability analysis, Lyapunov stability theory, and Hurwitz stability criteria to derive stability conditions for the system. Through MATLAB programming, the system's amplitude-frequency response curve was calculated.

Results

The main resonance characteristics of the printed polyethylene terephthalate film (PET film) were analyzed under the influence of parameters such as the external hot air excitation force, drying hot air temperature, and film movement speed.The stability conditions for the printed PET film vibration system were determined, and the amplitude-frequency response curve of the system was plotted, revealing the influence of key parameters—such as the external hot-air excitation force, the temperature of the drying hot air, and the film movement speed—on the system’s primary resonance characteristics.

Conclusions

The vibration model for printed PET film under a non-uniform hot-air temperature field established in this paper captures the dynamic characteristics of the film during the drying process. The stability conditions and resonance characteristics identified in this study provide a theoretical basis for optimizing the parameters of the drying unit in photovoltaic backsheet coating and laminating machines, as well as for ensuring the stable operation of printed PET film.