中国物理B ›› 2019, Vol. 28 ›› Issue (4): 44301-044301.doi: 10.1088/1674-1056/28/4/044301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Response features of nonlinear circumferential guided wave on early damage in inner layer of a composite circular tube

Ming-Liang Li(李明亮), Liang-Bing Liu(刘良兵), Guang-Jian Gao(高广健), Ming-Xi Deng(邓明晰), Ning Hu(胡宁), Yan-Xun Xiang(项延训), Wu-Jun Zhu(朱武军)   

  1. 1 College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
    2 School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
  • 收稿日期:2019-01-13 修回日期:2019-02-14 出版日期:2019-04-05 发布日期:2019-04-05
  • 通讯作者: Ming-Xi Deng, Yan-Xun Xiang E-mail:dengmx65@yahoo.com;yxxiang@ecust.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11834008, 11474361, 11632004, and 11622430).

Response features of nonlinear circumferential guided wave on early damage in inner layer of a composite circular tube

Ming-Liang Li(李明亮)1, Liang-Bing Liu(刘良兵)1, Guang-Jian Gao(高广健)1, Ming-Xi Deng(邓明晰)1, Ning Hu(胡宁)1, Yan-Xun Xiang(项延训)2, Wu-Jun Zhu(朱武军)2   

  1. 1 College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
    2 School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
  • Received:2019-01-13 Revised:2019-02-14 Online:2019-04-05 Published:2019-04-05
  • Contact: Ming-Xi Deng, Yan-Xun Xiang E-mail:dengmx65@yahoo.com;yxxiang@ecust.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11834008, 11474361, 11632004, and 11622430).

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摘要：

A theoretical model to analyze the nonlinear circumferential guided wave (CGW) propagation in a composite circular tube (CCT) is established. The response features of nonlinear CGWs to early damage[denoted by variations in third-order elastic constants (TOECs)] in an inner layer of CCT are investigated. On the basis of the modal expansion approach, the second-harmonic field of primary CGW propagation can be assumed to be a linear sum of a series of double-frequency CGW (DFCGW) modes. The quantitative relationship of DFCGW mode versus the relative changes in the inner layer TOECs is then investigated. It is found that the changes in the inner layer TOECs of CCT will obviously affect the driving source of DFCGW mode and its modal expansion coefficient, which is intrinsically able to influence the efficiency of cumulative second-harmonic generation (SHG) by primary CGW propagation. Theoretical analyses and numerical simulations demonstrate that the second harmonic of primary CGW is monotonic and very sensitive to the changes in the inner layer TOECs of CCT, while the linear properties of primary CGW propagation almost remain unchanged. Our results provide a potential application for accurately characterizing the level of early damage in the inner layer of CCT through the efficiency of cumulative SHG by primary CGW propagation.

关键词: circumferential guided wave (CGW), early damage, inner layer of composite circular tube, second-harmonic generation (SHG)

Abstract:

A theoretical model to analyze the nonlinear circumferential guided wave (CGW) propagation in a composite circular tube (CCT) is established. The response features of nonlinear CGWs to early damage[denoted by variations in third-order elastic constants (TOECs)] in an inner layer of CCT are investigated. On the basis of the modal expansion approach, the second-harmonic field of primary CGW propagation can be assumed to be a linear sum of a series of double-frequency CGW (DFCGW) modes. The quantitative relationship of DFCGW mode versus the relative changes in the inner layer TOECs is then investigated. It is found that the changes in the inner layer TOECs of CCT will obviously affect the driving source of DFCGW mode and its modal expansion coefficient, which is intrinsically able to influence the efficiency of cumulative second-harmonic generation (SHG) by primary CGW propagation. Theoretical analyses and numerical simulations demonstrate that the second harmonic of primary CGW is monotonic and very sensitive to the changes in the inner layer TOECs of CCT, while the linear properties of primary CGW propagation almost remain unchanged. Our results provide a potential application for accurately characterizing the level of early damage in the inner layer of CCT through the efficiency of cumulative SHG by primary CGW propagation.

Key words: circumferential guided wave (CGW), early damage, inner layer of composite circular tube, second-harmonic generation (SHG)

中图分类号:  (Ultrasonics, quantum acoustics, and physical effects of sound)

  • 43.35.+d
43.25.+y (Nonlinear acoustics) 43.20.Mv (Waveguides, wave propagation in tubes and ducts)