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Nonlinear vibrations of an axially moving plate in aero-thermal environment

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Abstract

In this paper, the nonlinear primary resonances of an axially moving plate in aero-thermal environment concerning on manufacturing background of the hot rolling are studied. The equation of motion of the plate is established using the Burger’s nonlinear plate theory. The aerodynamic force is analytically derived based on the linear potential flow theory and the assumed mode method. The effect of the temperature change of the environment is taken into account in the structural modeling. The incremental harmonic balance method is applied for nonlinear vibration analysis of the system. The effects of the axially moving speed, the flow velocity and the temperature change on the nonlinear vibration properties of the plate are discussed. From the analysis, it can be seen that the plate exhibits hardening type of nonlinearity. The first-order generalized coordinate has a resonance peak, and the second to the fourth-order generalized coordinates have the resonance trough. With the axially moving speed, the flow velocity and the temperature change increase, the resonance frequency of the plate decreases. The amplitude of the resonance increases when the temperature change increases. The resonance amplitude increases with increasing excitation amplitude. This research can be helpful for the hot rolling process design in the manufacturing industry.

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Data availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (51975511), the Natural Science Foundation of Liaoning (2020-MS-092), the Fundamental Research Funds for the Central Universities (N2003023), the Key Project of Guangdong Education Department of China (2018KZDXM075) and Program for Innovative Research Team in University of Guangdong Education Department of China (2018KCXTD032).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Guo Yao & Zhengbo Xie

  2. College of Mechanical and Automotive Engineering, Zhaoqing University, Zhaoqing, 526061, China

    Lisha Zhu & Yimin Zhang

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  1. Guo Yao
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Correspondence to Guo Yao.

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Yao, G., Xie, Z., Zhu, L. et al. Nonlinear vibrations of an axially moving plate in aero-thermal environment. Nonlinear Dyn 105, 2921–2933 (2021). https://doi.org/10.1007/s11071-021-06807-3

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