O DISTRIBUTION OF OWN WAVES IN ELASTIC AND VISCOELASTIC ENVIRONMENTS AND CONSTRUCTIONS
Authors: Safarov Ismail Ibrahimovich, Boltayev Zafar Ixtiyorovich, Akhmedov Maqsud Sharipovich, Buronov Sunatullo Aslonovich4
The paper deals with the propagation of elastic and viscoelastic waves of planar and cylindrical bodies. In the three-dimensional formulation of the problem of elasticity theory, the variational equation (satisfies the Kirchhoff-Love hypothesis) reduces to solving. Neglecting this equation in terms that take into account the inertia of rotation of the normal to the median plane. After some non-complicated operations, a system of first-order differential equations with complex coefficients is obtained, which is subsequently solved by orthogonal sweep method with a combination of the Mueller method on complex arithmetic. The dispersion relation for the wedge-shaped plate is obtained. Detection of a new type of waves “Troyanovsky-Safarov” in plates of variable cross-section.
Key words: wave, plane bodies, cylindrical bodies, orthogonal sweep, plane bodies, cylindrical bodies, Mueller method.