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Nonlinear vibration characteristics of accelerating viscoelastic membrane

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Abstract

Considering the viscoelastic characteristics of the accelerating viscoelastic membrane in roll-to-roll manufacturing, the nonlinear vibration characteristics of the accelerating viscoelastic membrane were investigated. The mechanical model of the accelerating viscoelastic membrane was established. Considering geometric nonlinearity, the equation of nonlinear vibration of the accelerating viscoelastic membrane was deduced. The ordinary differential equation of moving membranes was obtained using the Bubnov-Galerkin method and solved using the method of multiple scales. Numerical analyses reveal the effects of constant average speed, the speed fluctuation amplitude, the elastic modulus, the viscosity coefficient, and other parameters on the amplitude of vibration and the amplitude-frequency characteristics of moving membranes. Results provide theoretical guidance for the reasonable selection of printing parameters.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 52075435), the Natural Science Foundation of Shaanxi Province (No. 2021JQ-480), the Natural Science Special Project of Education Department of Shaanxi Provincial Government (No. 21JK0805), and the Natural Science Basic Research Program Key Project of Shaanxi Province (No. 2022JZ-30).

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Authors and Affiliations

  1. Faculty of Printing, Packing Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an, 710048, China

    Mingyue Shao, Jing Wang & Jimei Wu

  2. Shaanxi Beiren Printing Machinery Co., Ltd., Weinan, 714000, China

    Mingyue Shao & Zhicheng Xue

  3. School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an, 710048, China

    Mingyue Shao, Jing Wang, Jimei Wu & Jiajuan Qing

Authors
  1. Mingyue Shao
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  2. Jing Wang
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  3. Jimei Wu
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  4. Jiajuan Qing
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  5. Zhicheng Xue
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Corresponding author

Correspondence to Jimei Wu.

Additional information

Mingyue Shao, born in 1989, is currently a Ph.D. in Xi’an University of Technology, China. Her research interests are the vibration characteristics and stability of the membrane. E-mail: shaomingyue_xaut@163.com

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Shao, M., Wang, J., Wu, J. et al. Nonlinear vibration characteristics of accelerating viscoelastic membrane. J Mech Sci Technol 36, 4925–4933 (2022). https://doi.org/10.1007/s12206-022-0906-z

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  • DOI: https://doi.org/10.1007/s12206-022-0906-z

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