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The guided wave propagation in rectangular bars is investigated in this paper. A double orthogonal polynomial series approach is presented to solve the coupled wave equation. Through numerical comparisons with the available results, the validity of the presented approach is illustrated. The dispersion curves and displacement profiles of various rectangular bars are calculated, and the effects of the...
Maradudin firstly proposed Laguerre orthogonal polynomial to solve the acoustic waves in homogeneous semi-infinite wedges in1972. However, the approach can deal with the multilayered structures only when there is no significant change for the material properties of two adjacent layers. In order to overcome the drawbacks of the conventional polynomial approach, this paper proposed an improved orthogonal...
Based on the theory of Biot's incremental deformations, the axisymmetric torsional wave controlling equation of the unidirectional composite hollow cylinder with uniform initial stress is deduced in this paper. The exact dispersion equation is obtained by the first and second Bessel functions. In order to illustrate the effect of the initial stress on the axisymmetric torsional wave in the unidirectional...
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