Mechanics

An Asymptotic Model for the Far-Field of Rayleigh Wave in Multilayered Plate

Authors: Wilde M. V., Kossovich L. Y.

An asymptotic model is proposed, which allows to calculate farfield of Rayleigh wave in an infinite multilayered plate subjected to non-stationary surface load. The model is derived by using of the standard asymptotic techniques. As a result, a system of two onedimensional integro-differential equations (head system) is obtained, which describes the propagation of Rayleigh waves along the plate surfaces. For the decaying wave fields in layers the boundary problems for elliptic equations are obtained.

Propagation and Reflection of Harmonic Waves in a Plane Acoustic Layer with Non-Homogeneous Flexible Walls

Authors: Velmisova A. I., Wilde M. V., Kirillova I. V.

A plane acoustic layer bounded by elastic membranes, one of which has an insert with different material properties, is considered. The propagation and reflection of harmonic waves in such a layer is studied. The source of vibrations is an incident mode, coming from infinity. The solution in three regions (before the insert, under the insert, after the insert) is sought as modal expansion. The numerical results for the reflected power coefficient are presented.

Scheme Models Development of Integro-Differential Equations Numeral Calculation of Processes Dynamics in Electric Circuits

Authors: Tykhovod S. M.

Scheme models of numeral calculation of integral-differential equations, describing transients in electric circuits are developed. It is shown that offered modeling has the best fast-acting concerning to the known calculations.

Cross-Coupled Type-III Thermoelastic Waves of a Given Azimuthal Number in a Waveguide under Sidewall Heat Interchanging

Authors: Kovalev V. A., Radaev Y. N.

The paper is devoted to a study of cross-coupled type-III generalized thermoelastic waves of a given azimuthal order propagating via a long cylindrical waveguide with circular cross-section. Sidewall of the waveguide is assumed free from tractions and permeable to heat. The study is carried out in the framework of coupled generalized theory of type-III thermoelasticity (GNIII) consistent with the fundamental principles of continuum thermomechanics. The type-III theory combines the both possible mechanisms of heat transfer: thermodiffusion and wave.