Abstract
The theory of plates and beams of asymmetric structure in thickness is constructed. It is shown that, in general, the complete problem for this kind of a structure is not divided into a plane problem and a bending problem. Here stress-strain state of plates and beams of asymmetric structure in thickness is analyzed by the mathematical method without using any simplifying assumptions. Simple theories were obtained for practical applications by an asymptotic method. As examples, the dynamic problems for a two-layer beam and a plate with a gradient of properties in thickness were calculated.
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