Abstract
By introducing the state matrix into the orthogonal polynomial approach, this paper investigates the circumferential guided waves propagation in functionally graded material (FGM) hollow cylinders without discretizing into homogeneous multi-layered model. As an alternative new approach, which avoids the complicated integral operation in the conventional orthogonal polynomial series method in virtue of the orthogonal completeness and strong recursive property of Legendre polynomial series. Comparison with available results from the Lamb wave dispersion curves of the equivalent plate, the feasibility and validity of the proposed method is verified effectively. In order to demonstrate the robustness and versatility of the state vector formalism and Legendre polynomial hybrid method, the iron based alumina FGM with different graded structure are researched, and influence of the radius-to-thickness ratio and graded field on the dispersion characteristic are discussed, respectively.
How to Cite:
Gao, J. ., He, C. ., Lyu, Y. ., Song, G. . & Wu, B. ., (2019) “Investigation of the circumferential guided waves propagation in functionally graded hollow cylinders by state vector formalism and Legendre polynomial hybrid method”, Review of Progress in Quantitative Nondestructive Evaluation .
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