Open Access

ARTICLE

Guided Waves in Functionally Graded Rods with Rectangular Cross-Section under Initial Stress

Xiaoming Zhang¹, Jiangong Yu^1,2, Min Zhang¹, Dengpan Zhang¹

1 School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000,P.R. China.
2 Corresponding Author. E-mail: yuee@hpu.edu.cn

Computers, Materials & Continua 2015, 48(3), 163-179. https://doi.org/10.3970/cmc.2015.048.163

Abstract

The characteristics of the guided waves propagation in functionally graded rods with rectangular cross-section (finite width and height) under initial stress are investigated in this paper based on Biot’s theory of incremental deformation. An extended orthogonal polynomial approach is present to solve the coupled wave equations with variable coefficients. By comparisons with the available results of a rectangular aluminum rod, the validity of the present approach is illustrated. The dispersion curves and displacement profiles of various rectangular functionally graded rods are calculated to reveal the wave characteristics, and the effects of different width to height ratios and initial stress and gradient functions on the guided waves are discussed in detail.

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Keywords

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