RESEARCH DEPARTMENT OF DYNAMICS OF ELASTIC SYSTEMS IN FLUID

FROM HISTORY OF THE DEPARTMENT

     The department was established in 1963 on the basis of a Division for Statics and Dynamics of Hydraulic Structures in the Department of Hydraulic Engineering at the Institute of Hydrology and Hydraulic Engineering of the Academy of Sciences of Ukrainian SSR (Director L. I. Dyatlovitskii). From 1963 to 1977 this Department was  headed by Professor, Doctor of Technical Sciences L. I. Dyatlovitskii,  from 1977 to 2007 – by  Prof. V. M. Seimov, and from 2008 to 2016 – by Dr. N. S. Gorodetska.

    In 2017 the Department was included to the Research Department of Hydrodynamical Acoustics.

BASIC RESEARCH DIRECTIONS

• dynamic problems of the theory of elasticity and hydroelasticity for rod, plane and space bodies interacting with liquid and elastic media;
• dynamics of porous elastic fluid-saturated media;
• wave processes in the inhomogeneous waveguide structures situated in the acoustic, elastic and porous elastic medium.

     The mathematical models used in researches are based on exact analytical and numerical solutions of non-stationary plane, axisymmetric and three-dimensional models of interaction of sample structures (stamp array, foundation, elastic-rigid system) with the inertial bases of different types. The resulting developments can be applied in calculation of dynamics and earthquake resistance of various types of facilities., e.g., hydrotechnical ones (dams, tunnels, bridge supports, through river flows), reactor compartments of nuclear power plants, industrial and civil construction, offshore platforms and pipelines under the influence of gravity, power, seismic and explosive loads.

     The mathematical models and methods under the development are intended for solving of dynamic contact problems for stamps in the form of plates and arrays, based on a dirt foundation with the allowance for elastic and inertial interaction and wave radiation. The obtained results are verified by comparing with the experimental data.

     The mathematical models and algorithms for their computer implementation allow taking into account of the effect of heterogeneity, surface roughness and water saturation of media in which wave perturbations are propagating. Also, we study the conditions giving the rise to earthquakes and estimate the parameters of seismic events through modeling of earthquakes in the form of the in-depth shear cracks developing in the Earth's crust. The methods of wave field analysis in elastic media are developed for the case of presence of model singularities.

     The special features and benefits of the proposed approaches to solving of the problems of the dynamics and earthquake resistance of structures include, as follows:

• consideration of the physical processes determining the waves transformation, reflection and radiation;
• possibility of solving of plane, axisymmetric and three-dimensional problems for harmonic and transient effects;
• consideration of the deformation and inertial properties of structures and foundations;
• cconsideration of different models of the foundation (elastic, visco-elastic, heterogeneous, layered, porous elastic saturated liquid ones);
• possibility of reducing of the calculated values for critical parameters (stress, displacement, acceleration) due to the interaction of structures with the foundations.

APPLIED ACTIVITIES

     Our developments were implemented when designing the foundations for massive constructions of nuclear power plants (Chernobyl Nuclear Power Plant Belene Nuclear Power Plant in Bulgaria, Juragua Nuclear Power Plant in Cuba), slope stabilization at Inhulets tailing ore-dressing plant, stability of the offshore platforms (Sakhalin Island, Russia), construction of river bridge transitions (Kyiv) and navigation channels (Danube – Black Sea).

     The employees of the department took part in the design works for such organizations: the Institute of Building Structures, Rechtransproekt, SoyuzTransproekt, Soyuzdorproekt (in Kyiv), Ukrhydroproekt, Atomenergoproekt (AEP).