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<p>Hard-coating damping combined with thermomechanical coupling provides an effective approach for vibration suppression in rotating thin-walled cylindrical shells. However, the lack of an appropriate thermomechanically coupled dynamic model and a clear understanding of the synergistic damping mechanism remains a significant challenge. To address this issue, a semi-analytical model is developed to characterize the vibration behavior of rotating hard-coating thin-walled cylindrical shells. The model, based on the Rayleigh–Ritz method, incorporates temperature-dependent material properties, non-uniform thermal fields, von Kármán-type geometric nonlinearity, and non-uniform elastic constraints. A unified iterative algorithm, combining the state-space approach with the Newton–Raphson method, is proposed to solve the governing equations. The accuracy of the proposed model is confirmed by comparison with finite element results and published data, yielding maximum relative deviations of only 1.74% and 0.84%, respectively. The influence of main parameters, including rotational speed, thermal load, and coating thickness, on the thermomechanically coupled vibration characteristics and damping performance of the structure is systematically examined. The results show that the traveling-wave frequency increases with rotational speed, and this rise becomes more pronounced at higher temperatures. At a fixed rotational speed, the traveling-wave frequency decreases as the temperature rises, whereas at a fixed temperature it grows with increasing rotational speed, with a progressively steeper rate of increase. In addition, increasing the hard-coating thickness markedly enhances the modal loss factor, with the value rising by nearly 45% as the thickness increases from 0.1 mm to 1 mm.</p>

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Semi-analytical Modeling and Vibration Analysis of the High-Speed Rotating Hard-Coating Cylindrical Shell Under Non-uniform Elastic Constraint and Thermal Environments

  • 期刊论文

  • 发表日期：

    2025年9月12日

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  • Haojie Zheng,
  • Yue Zhang,
  • Jian Yang,
  • Yuntong Hu,
  • Yu Deng

摘要

Hard-coating damping combined with thermomechanical coupling provides an effective approach for vibration suppression in rotating thin-walled cylindrical shells. However, the lack of an appropriate thermomechanically coupled dynamic model and a clear understanding of the synergistic damping mechanism remains a significant challenge. To address this issue, a semi-analytical model is developed to characterize the vibration behavior of rotating hard-coating thin-walled cylindrical shells. The model, based on the Rayleigh–Ritz method, incorporates temperature-dependent material properties, non-uniform thermal fields, von Kármán-type geometric nonlinearity, and non-uniform elastic constraints. A unified iterative algorithm, combining the state-space approach with the Newton–Raphson method, is proposed to solve the governing equations. The accuracy of the proposed model is confirmed by comparison with finite element results and published data, yielding maximum relative deviations of only 1.74% and 0.84%, respectively. The influence of main parameters, including rotational speed, thermal load, and coating thickness, on the thermomechanically coupled vibration characteristics and damping performance of the structure is systematically examined. The results show that the traveling-wave frequency increases with rotational speed, and this rise becomes more pronounced at higher temperatures. At a fixed rotational speed, the traveling-wave frequency decreases as the temperature rises, whereas at a fixed temperature it grows with increasing rotational speed, with a progressively steeper rate of increase. In addition, increasing the hard-coating thickness markedly enhances the modal loss factor, with the value rising by nearly 45% as the thickness increases from 0.1 mm to 1 mm.