Numerical investigation of dispersive behaviors for helical thread waveguides using the semi-analytical isogeometric analysis method

Yijie Liu; Qiang Han; Yingjing Liang; Gang Xu

doi:10.1016/j.ultras.2017.06.004

Numerical investigation of dispersive behaviors for helical thread waveguides using the semi-analytical isogeometric analysis method

Ultrasonics. 2018 Feb:83:126-136. doi: 10.1016/j.ultras.2017.06.004. Epub 2017 Jun 17.

Authors

Yijie Liu¹, Qiang Han², Yingjing Liang³, Gang Xu⁴

Affiliations

¹ Department of Engineering Mechanics, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, PR China; Department of Engineering Mechanics, School of Civil Engineering, Guangzhou University, Guangzhou, PR China.
² Department of Engineering Mechanics, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, PR China. Electronic address: emqhan@scut.edu.cn.
³ Department of Engineering Mechanics, School of Civil Engineering, Guangzhou University, Guangzhou, PR China.
⁴ College of Computer Science, Hangzhou Dianzi University, Zhejiang, PR China.

PMID: 28712660
DOI: 10.1016/j.ultras.2017.06.004

Abstract

In this paper, we propose a semi-analytical isogeometric analysis(S-IGA) approach in the twist space to investigate the dispersive properties in helical thread waveguides, which combines the advantages of the spectral approach and IGA. The convergence and accuracy of the proposed method are discussed, by comparing S-IGA results with reference solutions. Additionally, the analytical expression of axial offset wavenumbers is derived to explain the difference of spectrograms between the Cartesian and twisted systems. In order to illustrate the effectiveness of the proposed method, some dispersion curves of elastic wave propagation in helical thread waveguides are presented for a wide range of thicknesses and tortuosities.