Abstract
By an asymptotic method the solution of boundary value problems of elasticity theory for isotropic, anisotropic, layered beams, plates and shells is built. The first, second and the mixed boundary problems for one-layered and multy-layered beams, plates and shells are solved. The asymptotic method permits us to solve effectively dynamic problems for thin bodies. Free and forced vibrations are considered. General asymptotic solutions are obtained. The conditions of resonance rise are established.
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