STUDY ON DISPERSION CHARACTERISTICS OF ELASTIC GUIDED WAVESIN AN INFINITE FUNCTIONALLY GRADED PLATE

Abstract

Abstract: In order to investigate the dispersion characteristics of elastic guided waves in an infinite functionally graded plate, this article built the theoretical analysis model for elastic guided waves of a functionally graded plate, and established the geometric equation under Cartesian coordinate system. In this paper, the Legendre orthogonal polynomial is introduced as trial functions of displacement. According to the Hamilton principle, Raleigh-Ritz Method (RRM) is applied to obtain the dispersion equation of elastic guided waves in a functionally graded plate. It is found that Raleigh-Ritz method has a great convergence and accuracy in solving guided wave propagation problems when using high-order node numbers for calculation. Raleigh-Ritz Method is not limited to homogenous plates. Phase velocity and group velocity dispersion curves of an infinite functionally graded plate composed of anisotropic materials are given, and the influences of different volume fraction indexes N and incident angle θ on dispersive behavior for guided wave propagation are analyzed.

Key words: functionally graded plate, dispersion curve, Rayleigh-Ritz method, legendre orthogonal polynomial, anisotropy

CLC Number:

TB332

LIAO Zhi-qi, LUO Yi. STUDY ON DISPERSION CHARACTERISTICS OF ELASTIC GUIDED WAVESIN AN INFINITE FUNCTIONALLY GRADED PLATE[J]. Fiber Reinforced Plastics/Composites, 2019, 0(10): 51-57.

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