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The suppression of nonlinear panel flutter response at elevated temperatures using a nonlinear energy sink

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Abstract

A nonlinear energy sink (NES) is used to suppress the nonlinear aerothermoelastic response of panels at elevated temperatures. A nonlinear aeroelastic model for a two-dimensional panel with an NES in a supersonic airflow is established using the Galerkin method, with the aerodynamic load being based on first-order piston aerodynamic theory. The model is then used to study the nonlinear dynamic response behavior of a heated panel with an NES to obtain the NES suppression region. The effects of different NES parameters and temperature elevations on the NES suppression region are examined and a design technique is developed to facilitate finding the most suitable combination of parameter values to suppress the nonlinear panel flutter response. The results show that the NES is effective at reducing the aeroelastic response amplitude within a specific range. Varying the installed position, damping, mass ratio and stiffness of the NES will lead to variations in its controlling effect upon the suppression region and the dynamic behavior of the heated panel. An increase in the temperature elevation results in a decrease in the NES suppression region. When the temperature reaches a certain point, the NES suppression region disappears and the NES no longer has any effect on the panel flutter response. Overall, it is found that an NES provides an effect and robust solution, and a wide range of different parameter combinations can be found, that will meet the requirements identified by the proposed design method.

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Acknowledgements

The authors would like to express their gratitude to EditSprings (https://www.editsprings.com/) for the expert linguistic services provided.

Funding

This study was funded by National Natural Foundation of China (Grant Nos. 11702204 and 11872050), China Postdoctoral Science Foundation (Grant No. 2019M653585) and the 111 Project (No. BP0719007).

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an, China

    Jian Zhou & Minglong Xu

  2. China Aerodynamics Research and Development Center, Mian Yang, China

    Jun Zha

  3. School of Aeronautics, Northwestern Polytechnical University, Xi’an, China

    Zhichun Yang

Authors
  1. Jian Zhou
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  2. Minglong Xu
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  3. Jun Zha
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  4. Zhichun Yang
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Correspondence to Jian Zhou.

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Zhou, J., Xu, M., Zha, J. et al. The suppression of nonlinear panel flutter response at elevated temperatures using a nonlinear energy sink. Meccanica 56, 41–57 (2021). https://doi.org/10.1007/s11012-020-01269-0

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  • DOI: https://doi.org/10.1007/s11012-020-01269-0

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