Which priority area of science and technology does it correspond to: fundamental scientific research on the most important problems of developing scientific, technical, socio-economic, socio-political, human potential to ensure the competitiveness of Ukraine in the world and the sustainable development of society and the state.
Research: fundamental.
Future prospect: completed.
Research level: no analogues in the world.
Patent: no.
What additional actions require further research: does not require
Brief description, advantages, further prospects for application.
Mathematical models of objects with step-variable parameters (tension-compression of a bar, bending of beams and frame systems, beams on an elastic basis) are constructed and a technique for their analysis is developed based on the numerical-analytical method of limiting elements. Mathematical models of objects with distributed parameters (bending, vibrations and resistance of beams and frame systems, stability of a flat form of bending of thin-walled rods, stability of arches and arch systems in their own plane) are constructed and a technique for their analysis based on the numerical-analytical method of boundary elements is developed. A mathematical model of a structure in the form of a reinforced plate with any number of stiffeners in two directions has been constructed, and a technique for its analysis by the boundary element method has been developed.
The results obtained differ from the existing ones in higher accuracy, since they are based on fundamental solutions of the corresponding differential equations.
The prospect of applying the results obtained lies in their implementation in the practice of design, reconstruction and construction, national design standards, as well as in their application for the training of specialists and masters in the specialties “Construction and civil engineering”, “Computer science and information technology” of the Engineering and Construction Institute of Odessa State Academy of Civil Engineering and Architecture by including the results obtained in the textbook and guidelines, in final scientific master’s and theses.