Гузь А.Н., Багно А.М. «Распространение квазилэмбовских волн в упругом слое, взаимодействующем с полупространством вязкой жидкости» Прикладная механика, 55, № 5, с. 3-20 (2019)

The problem of quasi-Lamb waves propagating in elastic layer that interact with a half-space of a viscous compressible fluid is considered. On the basis of the three-dimensional linearized Navier–Stokes equations for viscous fluid and linear equations of the classical theory of elasticity for elastic layer, the dispersion curves are constructed and propagation of quasi-Lamb waves within the wide range of frequencies are studied. An effect of the viscous compressible fluid and thickness of the elastic layer on the phase velocities and attenuation coefficients of quasi-Lamb modes are analyzed. An approach developed and the results obtained allow to establish the limits of applicability of the model of an ideal fluid for the wave processes. The numerical results are presented in the form of graphs, and their analysis is given.

Кубенко В.Д. «Нестационарная плоская задача для слоя жидкости на жестком основании» Прикладная механика, 55, № 5, с. 21-38 (2019)

An analytical solution is proposed for a plane problem on action of the non-steady pressure at surface of a layer of compressible fluid. The corresponding plane problem of hydroacoustics is stated. The integral Laplace transform and Fourier transform are applied. The inverses of transforms in case of fixed or variable loading domain is carried out by means of the tabular relationships and convolution theorems. As a result, the expression for velocity and pressure in an arbitrary point of fluid is obtained in the closed form. The solution is represented in the form of sum, in which the m-th member represents the m-th reflected wave. Retaining the certain finite number of members in the solution gives the exact solution of the problem on the given interval of time taking into account the necessary number of reflected waves. The performed computation shows the velocity and pressure development depending on time and space coordinates.

Ткаченко Я.В. «Метод оптимизации маневров межорбитального транспортного аппарата в сильном центральном гравитационном поле» Прикладная механика, 55, № 5, с. 101-109 (2019)

A method of constructing the optimal trajectories of interorbital flights of the orbital transfer vehicle with a low thrust propulsion system is described. The testing of method confirms its effectiveness for the problem of delivering the maximum payload from the low orbit to the orbit close to the geostationary one.