Abstract

The present study is devoted to analysis of coupled harmonic waves of translational displacements and microrotations propagating along the axis of a long cylindrical waveguide with circular cross-section. Microrotation waves modelling is realized within the frameworks of linear micropolar elasticity by introducing microrotations as independent degrees of freedom of the elastic continuum. The coupled system of vector differential equations of the micropolar elasticity is given. The translational displacements and microrotations vectors in the coupled wave are decomposed into potential and vortex parts. The coupled differential equations are uncoupled for some distinguished cases. The Helmholtz equations solutions for the translational and microrotation waves are obtained for a high-frequency waves in a cylindrical domain.

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