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Meccanica

, Volume 54, Issue 1–2, pp 169–182 | Cite as

Wave isogeometric analysis method for calculating dispersive properties of guided waves in rotating damped cylinders

  • Chunlei Li
  • Qiang HanEmail author
  • Yijie Liu
  • Zhan Wang
Article
  • 178 Downloads

Abstract

The reliable guided wave inspection techniques depend on the accurate understanding of dispersive properties. The classic finite element method has been proven to be very practical for modeling wave propagation in arbitrary waveguides. However, when it comes to modeling on complex geometries, it still has a major drawback: the geometric discrete errors and the high consumption of resources to improve accuracy. Recently, Isogeometric analysis has been found advantageous over the classic finite element method on geometry representation and mesh generation. Here, a wave isogeometric analysis (WIGA) method is proposed for the computation of guided wave characteristics in rotating damped cylinders, based on the Floquet’s principle. According to the linear incremental theory and the principle of virtual power, elastodynamic wave equation is established, with regard to the WIGA. To ensure its effectiveness, the convergence and accuracy of the proposed method are considered compared with that of the wave finite element method. The size of unit cell and the solvable frequency range are discussed in detail. Furthermore, dispersive behaviors are computed considering the effects of damping and rotation. The results demonstrate that flexural wave modes are very sensitive to the rotation effect. Particularly, in phase velocity spectra the characteristic frequency at the amplitude peak equals to the rotational angular speed, where wave propagating and attenuating both vanish.

Keywords

Wave isogeometric analysis Elastic waves Dispersive properties Rotation Damping 

Notes

Acknowledgements

The authors wish to acknowledge the support from the Natural Science Foundation of China (11472108 and 11772130).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Supplementary material

11012_2018_921_MOESM1_ESM.rar (1.1 mb)
Supplementary material 1 (rar 1106 KB)

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.School of Civil Engineering and TransportationSouth China University of TechnologyGuangzhouPeople’s Republic of China
  2. 2.State Key Laboratory of Subtropical Building ScienceSouth China University of TechnologyGuangzhouChina
  3. 3.School of Civil EngineeringGuangzhou UniversityGuangzhouChina

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