Structural Engineering and Mechanics

Volume 41, Number 5, 2012, pages 605-615

DOI: 10.12989/sem.2012.41.5.605

Guided viscoelastic wave in circumferential direction of orthotropic cylindrical curved plates

Jiangong Yu and Zhijuan Ma

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.

Key Words

viscoelastic materials; guided circumferential wave; Legendre polynomial series; dispersion curves; Attenuation curves

Address

Jiangong Yu and Zhijuan Ma: School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, P.R. China