The asymptotic solutions of thermoelasticity dynamic problems for laminated thin body with variable thickness consisting of anisotropic inhomogeneous materials
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2009, Vol 62, Issue 3
Abstract
On the base of three-dimentional equations of anisotropic body thermoelasticity dynamic problem the recurrent equations for laminar inhomogeneous thin body are derived by asymptotic method. The equations are integrated under the anisotropy possessing in each point with one symmetry plane, perpendicular to transversal axis z. The recurrent formulas for the determination of displacement vector component and stress tensor are derived when on the face of lamination various modifications of boundary conditions for dynamic problem of the thermoelasticity theory are specified. The amplitudes of forced vibrations are obtained. The dispersion equations of natural oscillations frequency as well as resonance frequency for special case are derived. An algorithm for determination of analytical solutions of formulated boundary problems with the help of modern computer facilities is developed.
Authors and Affiliations
M. L. Aghalovyan, R. S. Gevorgyan
Keywords
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