Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Guided viscoelastic wave in circumferential direction of orthotropic cylindrical curved plates

  • Yu, Jiangong (School of Mechanical and Power Engineering, Henan Polytechnic University) ;
  • Ma, Zhijuan (School of Mechanical and Power Engineering, Henan Polytechnic University)
  • Received : 2011.01.20
  • Accepted : 2012.02.01
  • Published : 2012.03.10
⟨ Previous Next ⟩

Abstract

In this paper, guided circumferential wave propagating in an orthotropic viscoelastic cylindrical curved plate subjected to traction-free conditions is investigated in the frame of the Kelvin-Voight viscoelastic theory. The obtained three wave equations are decoupled into two groups, Lamb-like wave and SH wave. They are separately solved by the Legendre polynomial series approach. The availability of the method is confirmed through the comparison with the published data of the SH wave for a viscoelastic flat plate. The dispersion curves and attenuation curves for the carbon fiber and prepreg cylindrical plates are illustrated and the viscous effect on dispersion curves is shown. The influences of the ratio of radius to thickness are analyzed.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Barshinger, J.N. and Rose, J.L. (2004), "Guided wave propagation in an elastic hollow cylinder coated with a viscoelastic material", IEEE T. Ultrason. Ferr., 51(11), 1547-1556. https://doi.org/10.1109/TUFFC.2004.1367496
  2. Castaings, M. and Hosten, B. (2003), "Guided waves propagating in sandwich structures made of anisotropic, viscoelastic, composite materials", J. Acoust. Soc. Am., 113(5), 2622-2634. https://doi.org/10.1121/1.1562913
  3. Elmaimouni, L., Lefebvre, J.E., Zhang, V. and Gryba, T. (2005), "Guided waves in radially graded cylinders: a polynomial approach", NDT&E Int., 38(3), 344-353. https://doi.org/10.1016/j.ndteint.2004.10.004
  4. Grace, O.D. and Goodman, R.R. (1966), "Circumferential waves on solid cyliners", J. Acoust. Soc. Am., 39, 173-174. https://doi.org/10.1121/1.1909868
  5. Liu, G. and Qu, J.M. (1998), "Guided circumferential waves in a circular annulus", J. Appl. Mech. T. ASME, 65, 424-430. https://doi.org/10.1115/1.2789071
  6. Luo, W. and Rose, J.L. (2007), "Phased array focusing with guided waves in a viscoelastic coated hollow cylinder", J. Acoust. Soc. Am., 121(4), 1945-1955. https://doi.org/10.1121/1.2711145
  7. Luo, W., Rose, J. L., Velsor, J.K.V., Avioli, M. and Spanner, J. (2006), "Circumferential guided waves for defect detection in coated pipe", Review of Quantitative Nondestructive Evaluation, Eds. Thompson, D.O. and Chimenti, D.E., 25, 165-172.
  8. Sharma, J.N. and Pathania, V. (2005), "Generalized thermoelastic wave propagation in circumferential direction of transversely isotropic cylindrical curved plates", J. Sound Vib., 281, 1117-1131. https://doi.org/10.1016/j.jsv.2004.02.010
  9. Shortera, P.J. (2004), "Wave propagation and damping in linear viscoelastic laminates", J. Acoust. Soc. Am., 115(5), 1917-1925. https://doi.org/10.1121/1.1689342
  10. Simonetti, F. (2004), "Lamb wave propagation in elastic plates coated with viscoelastic materials", J. Acoust. Soc. Am., 115(5), 2041-2053. https://doi.org/10.1121/1.1695011
  11. Towfighi, S., Kundu, T. and Ehsani, M. (2002), "Elastic wave propagation in circumferential direction in anisotropic cylindrical curved plates", J. Appl. Mech. T. ASME, 69, 283-291. https://doi.org/10.1115/1.1464872
  12. Valle, C., Qu, J. and Jacobs, L.J. (1999), "Guided circumferential waves in layered cylinders", Int. J. Eng. Sci., 37, 1369-1387. https://doi.org/10.1016/S0020-7225(98)00133-5
  13. Yu, J.G. and Ma, Q.J. (2008), "Circumferential wave in functionally graded piezoelectric cylindrical curved plates", Acta Mech., 198(3-4), 171-190. https://doi.org/10.1007/s00707-007-0526-9
  14. Yu, J.G. and Wu, B. (2009), "Circumferential wave in magneto-electro-elastic functionally graded cylindrical curved plates", Eur. J. Mech. A-Solids, 28(3), 560-568. https://doi.org/10.1016/j.euromechsol.2008.07.011
  15. Yu, J.G., Wu, B. and He, C.F. (2007), "Guided circumferential waves in orthotropic cylindrical curved plate and the mode conversion by the end-reflection", Appl. Acoust., 68(5), 594-602. https://doi.org/10.1016/j.apacoust.2006.03.007
  16. Yu, J.G., Wu, B. and He, C.F. (2010), "Circumferential thermoelastic waves in orthotropic cylindrical curved plates without energy dissipation", Ultrasonics, 50(3), 416-423. https://doi.org/10.1016/j.ultras.2009.09.031
  17. Zhao X.L. and Rose J.L. (2004), "Guided circumferential shear horizontal waves in an isotropic hollow cylinder", J. Acoust. Soc. Am., 115, 1912-1916. https://doi.org/10.1121/1.1691037
  18. Rose, J.L. (1999), Ultrasonic Waves in Solid Media, Cambridge University Press, New York.

Cited by

  1. Aspect ratio factor for finite element method analysis of axially symmetric cylindrical shell walls vol.6, pp.4, 2014, https://doi.org/10.3846/2029882X.2014.996255
  2. Dispersion and Attenuation of Guided Waves in Tubular Section with Multi-Layered Viscoelastic Coating — Part II: Circumferential Wave Propagation vol.09, pp.02, 2017, https://doi.org/10.1142/S1758825117500168
  3. Wave propagation in multilayered piezoelectric spherical plates vol.224, pp.7, 2013, https://doi.org/10.1007/s00707-013-0811-8
  4. Toroidal wave in multilayered spherical curved plates vol.332, pp.11, 2013, https://doi.org/10.1016/j.jsv.2012.12.032
  5. The medium coupling effect on propagation of guided waves in engineering structures and human bone phantoms vol.1, pp.4, 2012, https://doi.org/10.12989/csm.2012.1.4.297
  6. Derivation of circumferential guided waves equations for a multilayered laminate composite hollow cylinder by state-vector and Legendre polynomial hybrid formalism vol.255, pp.None, 2012, https://doi.org/10.1016/j.compstruct.2020.112950