Numerical Evaluation of Semi-analytical Finite Element (SAFE) Method for Plates, Rods and Hollow Cylinders

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Abstract

Here, some applications of the Semi-analytical (SAFE) formulation presented in a previous paper of this book (Viola et al., 2005) are shown. In order to emphasize the potentiality of the SAFE method presented, guided wave features are calculated for several isotropic waveguides immersed in vacuum. In particular a plate, a rod and a hollow cylinder are considered. The dispersion results are presented in terms of phase velocity and group velocity along with the wavestructures or cross-sectional mode shapes.

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Viola, E., Marzani, A., & Bartoli, I. (2007). Numerical Evaluation of Semi-analytical Finite Element (SAFE) Method for Plates, Rods and Hollow Cylinders. In CISM International Centre for Mechanical Sciences, Courses and Lectures (Vol. 488, pp. 123–138). Springer International Publishing. https://doi.org/10.1007/978-3-211-70963-4_7

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