Гузь О.М. «Сессия общего собрания отделения механики НАНУ 21 декабря 2018 г., посвященная 100-летию Института механики им. С.П. Тимошенко НАНУ. Доклад директора Института» Прикладная механика, 55, № 1, с. 5-25 (2019)

The report on important moments of scientific activity during 100 years of existence (1918–2018) of the S.P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NASU) is presented. This report was given December 21, 2018 on the session of the General Meeting of the Division of Mechanics of NASU devoted to the centenary of the institute.

Беспалова Е.И., Борейко Н.П. «Собственные частоты составных анизотропных оболочечных систем на основе разных моделей деформирования» Прикладная механика, 55, № 1, с. 44-59 (2019)

An approach to determining the frequencies and modes of free vibrations is proposed for the compound systems of shells of revolution with different geometry and relative thickness. The shells are made of isotropic, orthotropic, and anisotropic materials with one plane of elastic symmetry and are continuously and (or) discretely inhomogeneous across the thickness. This approach includes the construction of a mathematical model of vibrations based on the classical Kirchhoff–Love theory, refined Timoshenko type theory, 3D elasticity theory (partial case), and numerical-analytical technique of solving the associated 2D (3D) problems by reducing their dimensionality and using the methods of successive approximations and step-by-step search in combination with the orthogonal-sweep method. The examples of solving the problems from various fields of engineering are presented.

Юрчук В.Н. «О различии эволюции плоских продольной и поперечной колоколообразных волн при их распространении в нелинейно упругих композитах» Прикладная механика, 55, № 1, с. 60-63 (2019)

For the problem on evolution of the nonlinear elastic plane longitudinal and transverse waves of displacement, a statement is proposed, an analysis of numerical results is carried out, and a data is compared. The 18 variants of initial parameters are studied numerically – two variants of composite materials, three variants of the wave bottom length, three variants of initial maximal amplitude. For each variant, the 3D plots «displacement – passed by wave distance – time of wave propagation» are built. An attention is concentrated on difference in evolution of longitudinal and transverse waves.

Константинов А.В., Лимарченко О.С., Лукьянчук В.В., Нефедов А.А. «Динамические приемы гашения колебаний в системе «конструкция–жидкость со свободной поверхностью»» Прикладная механика, 55, № 1, с. 64-77 (2019)

Two variants of reduction of oscillations of structures with liquid are considered. The controlling algorithm, which includes analytically determined compensation of force interaction of liquid with structure, is proposed for reduction of oscillations of the carrying structure. In this case with minor errors it is possible to reach the state, when the structure motion occurs as if the liquid becomes solidified. In the case of seismic excitation of the system motion it is suggested to use pendulum suspension of the system instead of its rigid fixation. Specificity of selection of the length of pendulum suspension is discussed. The use of pendulum suspension results in considerable lowering of force interaction of liquid with structure and reduction of waves on a free surface of liquid especially for high-frequency excitation. The adduced numerical examples show advantages of the suggested technique.