Гузь А.Н., Багно А.М. «Влияние начальных напряжений на нормальные волны в упругом сжимаемом полупространстве, взаимодействующем со слоем идеальной сжимаемой жидкости» Прикладная механика, 55, № 6, с. 3-19 (2019)

The problem of quasi-Lamb waves propagation in a pre-deformed compressible elastic half-space that interacts with a layer of an ideal compressible fluids is studied. The study is conducted carried out basing on the three-dimensional linearized equations of the theory of elasticity of finite deformations for the compressible elastic half-space and the three-dimensional linearized Euler equations for the ideal compressible fluid. A problem statement and an approach, based on the representations of general solutions of the linearized equations for elastic solid and fluid are applied. The dispersion equations, which describe a propagation of quasi-Lamb waves in the hydroelastic systems in the wide frequency range are obtained. An effect of initial stresses as well as the thickness of layer of ideal compressible fluid and of elastic half-space on the phase velocities of quasi-Lamb modes is analyzed. A criterion of existence of the quasi-Lamb waves in the hydroelastic waveguides is proposed. The developed approach and the findings make it possible to establish the limits of applicability of the models of wave processes, based on different versions of the theory of small initial deformations. The numerical results are presented in the form of graphs, and their analysis is given.

Карнаухов В.Г., Козлов В.И., Карнаухова Т.В. «Критическая электрическая нагрузка на шарнирно опертую термовязкоупругую прямоугольную пластину с пьезоэлектрическими сенсорами и актуаторами» Прикладная механика, 55, № 6, с. 20-24 (2019)

A criterion of losses of the working capacity of control system of the forced vibrations of hinged rectangular thermoviscoelastic plate by the piezoelectric sensors and actuators is proposed. This criterion is associated with reaching of temperature of dissipative heating of some critical value. Basing on this criterion, the critical electric load is found.

Петрищев О.Н., Романюк М.И. «Возбуждение пространственно развитых волн Лэмба системой объемных и поверхностных нагрузок (Часть 1)» Прикладная механика, 55, № 6, с. 90-114 (2019)

The principle and method for calculating the electroacoustic transducers in the mode of elastic waves excitation in the isotropic solid bodies is considered. When being solved a homogeneous boundary problem of the dynamic theory of elasticity, the relations are obtained that completely determine the entire set of eigenfunctions (normal waves). The main solutions of the boundary value problem of the dynamic theory of elasticity are considered under the assumption that a source of the spatially developed Lamb waves does not have the axial symmetry. The quantitative estimates of the complex roots of dispersion equation for symmetric and antisymmetric Lamb waves are performed.