中国物理B ›› 2023, Vol. 32 ›› Issue (1): 14301-014301.doi: 10.1088/1674-1056/ac6ee6

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Effect of porous surface layer on wave propagation in elastic cylinder immersed in fluid

Na-Na Su(苏娜娜), Qing-Bang Han(韩庆邦), Ming-Lei Shan(单鸣雷), and Cheng Yin(殷澄)   

  1. College of Internet of Things Engineering, Hohai University, Changzhou 213022, China
  • 收稿日期:2022-03-20 修回日期:2022-04-18 接受日期:2022-05-12 出版日期:2022-12-08 发布日期:2022-12-27
  • 通讯作者: Qing-Bang Han E-mail:20111841@hhu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 12174085) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China (Grant No. KYCX21_0478).

Effect of porous surface layer on wave propagation in elastic cylinder immersed in fluid

Na-Na Su(苏娜娜), Qing-Bang Han(韩庆邦), Ming-Lei Shan(单鸣雷), and Cheng Yin(殷澄)   

  1. College of Internet of Things Engineering, Hohai University, Changzhou 213022, China
  • Received:2022-03-20 Revised:2022-04-18 Accepted:2022-05-12 Online:2022-12-08 Published:2022-12-27
  • Contact: Qing-Bang Han E-mail:20111841@hhu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 12174085) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China (Grant No. KYCX21_0478).

摘要: To study the damage to an elastic cylinder immersed in fluid, a model of an elastic cylinder wrapped with a porous medium immersed in fluid is designed. This structure can both identify the properties of guided waves in a more practical model and address the relationship between the cylinder damage degree and the surface and surrounding medium. The principal motivation is to perform a detailed quantitative analysis of the longitudinal mode and flexural mode in an elastic cylinder wrapped with a porous medium immersed in fluid. The frequency equations for the propagation of waves are derived each for a pervious surface and an impervious surface by employing Biot theory. The influences of the various parameters of the porous medium wrapping layer on the phase velocity and attenuation are discussed. The results show that the influences of porosity on the dispersion curves of guided waves are much more significant than those of thickness, whereas the phase velocity is independent of the static permeability. There is an apparent "mode switching" between the two low-order modes. The characteristics of attenuation are in good agreement with the results from the dispersion curves. This work can support future studies for optimizing the theory on detecting the damage to cylinder or pipeline.

关键词: wave propagation, porous surface layer, dispersion, attenuation

Abstract: To study the damage to an elastic cylinder immersed in fluid, a model of an elastic cylinder wrapped with a porous medium immersed in fluid is designed. This structure can both identify the properties of guided waves in a more practical model and address the relationship between the cylinder damage degree and the surface and surrounding medium. The principal motivation is to perform a detailed quantitative analysis of the longitudinal mode and flexural mode in an elastic cylinder wrapped with a porous medium immersed in fluid. The frequency equations for the propagation of waves are derived each for a pervious surface and an impervious surface by employing Biot theory. The influences of the various parameters of the porous medium wrapping layer on the phase velocity and attenuation are discussed. The results show that the influences of porosity on the dispersion curves of guided waves are much more significant than those of thickness, whereas the phase velocity is independent of the static permeability. There is an apparent "mode switching" between the two low-order modes. The characteristics of attenuation are in good agreement with the results from the dispersion curves. This work can support future studies for optimizing the theory on detecting the damage to cylinder or pipeline.

Key words: wave propagation, porous surface layer, dispersion, attenuation

中图分类号:  (General linear acoustics)

  • 43.20.+g
43.30.+m (Underwater sound) 43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound) 82.33.Ln (Reactions in sol gels, aerogels, porous media)