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Some aspects of the development of the classical, refined, asymptotic theories of anisotropic plates and shells in Armenia are outlined. The decisive role of S.A.Ambartsumyan in the creation and development of these theories, the foundation of the corresponding Scientific school is noted. [ABSTRACT FROM AUTHOR]

The localized interface waves in compound rectangular plates are investigated. Edges of a plate are freely supported. For a special case, when parts of plates differ in values of Poisson’ ratio and bending stiffness, the conditions of existence localized waves are established and forms waves in transition points from localized to not localized are calculated. [ABSTRACT FROM AUTHOR]

In the present paper a contact problem on load transfer from infinite and finite two parallel elastic stringers to isotropic homogeneous elastic infinite plate is considered. It is assumed, that the elastic stringers are placed nonsymmetrically with respect to the horizontal axis, are attached to the plate rigidly and have different elastic characteristics and cross-sectional areas. The bodies in contact (plate-stringers) are deformed under influence of axial concentrated forces, applied on the stringers, as well as uniformly distributed horizontal tensions of constant intensity, acting at the infinity of the plate. Solution of the problem is mathematically formulated as a system of constrained singular integral equations of the first kind with moving singularity with kernels consisted of singular and regular parts. The solution of that system is reduced to solution of quasi completely regular infinite system of linear algebraic equations using the known mathematical techniques of Fourier transform and Chebyshev polynomials. Intensities of tangential contact stresses distributions are determined. Asymptotic formulas for infinite stringer describing the behavior of stresses near and far from force application point are obtained. [ABSTRACT FROM AUTHOR]

Forced harmonic vibrations of orthotropic plates are investigated. Asimptotic solutions of space dynamic three classes of problems are found. Cases, when the solution of the outer (inner) problem becomes mathematically exact, are noted, the solution of the boundary layer is built. It is denoted that all the values, particularly, the normal displacement, strictly depend on the transverse coordinate, which casts doubt on the applicability of the hypotheses of classical theory of plates in dynamic problems, as by the hypotheses acceptance the character of the vibration process on the transverse coordinate distorts. [ABSTRACT FROM AUTHOR]

Two layer of the rectangular plate are clumped by the edges. There are smooth contact conditions between the edges. The equations of the bending and vibrations are obtained on the base of Kirchhoff hipoteses. The conditions under which layers do not laminate are determined. [ABSTRACT FROM AUTHOR]