Wave propagation in graded rings with rectangular cross-sections |
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| Institution: | 1. School of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China;2. School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;3. MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | In this paper, a double orthogonal polynomial series method is proposed to investigate the guided wave propagation in a two-dimensional (2-D) structure, namely, a FGM ring with a rectangular cross-section. Two kinds of graded rings are considered: material gradient directions being in the radial direction and in the axial direction respectively. Numerical comparison with available reference results for a straightly homogeneous rectangular bar illustrates the validity of the proposed method. The dispersion curves and displacement distributions of various FGM rings, which have different radius to thickness ratios, different material gradient directions and different thickness to height ratios, are calculated to reveal the guided wave characteristics. |
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| Keywords: | Guided waves Rectangular ring Functionally graded materials Orthogonal polynomials Dispersion curves Displacement distributions |
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