The generalized Routh equations in the plate theory of \(N\)th order and their use in problems of normal wave dispersion in heterogeneous waveguides

DOI10.1134/S1995080222100407zbMath1502.74057MaRDI QIDQ2095899

S. I. Zhavoronok, A. S. Kurbatov, L. N. Rabinskiy

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational formulationLegendre transformsemi-analytical finite element methodpropagating modeevanescent modegeneralized Routh equationsnormal wave dispersion

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30)

Related Items (1)

On various equations of the analytical mechanics of thick-walled heterogeneous shells and some of their applications in wave dispersion problems

Cites Work

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• Evanescent waves in FGM spherical curved plates: an analytical treatment
• Wave propagation in thermoelastic inhomogeneous hollow cylinders by analytical integration orthogonal polynomial approach
• Use of the higher-order plate theory of I. N. Vekua type in problems of dynamics of heterogeneous plane waveguides

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