Nonlinear resonance of fractional order viscoelastic PET films under temperature loading

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering Science Pub Date : 2024-10-18 DOI:10.1016/j.ijengsci.2024.104153

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Abstract

The effects of oven temperature during printing on nonlinear vibration for fractional-order PET films are considered in this paper. The effect of temperature, fractional order modelling and some other parameters are analysed with respect to the response of the resonance. Fractional order kelvin-Voigt ontological relationship is used to describe the characteristics of viscoelastic materials. The differential equations for nonlinear vibrations are inferred according to the second law of Newton and the theory of von Karman. Discretization for nonlinear equations on locomotion using the Bubnov–Galerkin method. Forced co-oscillatory amplitude-frequency response equations for thin-films systems under temperature loading were calculated using the multiple scales method. Results of numeral results show that temperature, and fractional-order visco-elastic modelling influence the membrane's response to resonance. These results provide a basis for studying fractional-order visco-elastic films vibrations and identifying regions of stable operation in moving systems to prevent divergent instabilities for flexible electronic device manufacturing.

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温度加载下分数阶粘弹性 PET 薄膜的非线性共振

本文考虑了印刷过程中烘箱温度对分数阶 PET 薄膜非线性振动的影响。分析了温度、分数阶模型和其他一些参数对共振响应的影响。分数阶开尔文-Voigt 本体关系用于描述粘弹性材料的特性。根据牛顿第二定律和 von Karman 理论推断出非线性振动的微分方程。使用 Bubnov-Galerkin 方法对运动非线性方程进行离散化。使用多尺度法计算了温度负荷下薄膜系统的强制共振振幅频率响应方程。数字结果表明，温度和分数阶粘弹性模型会影响薄膜的共振响应。这些结果为研究分数阶粘弹性薄膜振动和确定移动系统中的稳定运行区域提供了基础，以防止柔性电子设备制造中出现发散不稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.