Prospects for further implementation in 2021-2022: Completed.
Research level: no analogues in the world.
Availability of a patent: no.
What additional actions requires further research in 2021: does not require
Brief characteristics, advantages, further application perspective.
Mathematical models of objects with step-variable parameters (tension-compression of a beam, bending of beams and frame systems, beams on an elastic foundation) have been constructed and a methodology for their analysis has been developed based on the numerical-analytical method of boundary elements. Mathematical models of objects with distributed parameters (bending, vibrations and stability of beams and frame systems, the stability of the flat form of bending of thin-walled rods, the stability of arches and arch systems in their plane) have been constructed and a methodology for their analysis has been developed based on the numerical-analytical method of boundary elements. A mathematical model of a structure in the form of a reinforced plate is constructed for any number of stiffeners in two directions, and a technique for its analysis by the method of boundary elements is 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 consists in their introduction into the practice of design, reconstruction and construction, national design standards, as well as in the application for the training of specialists and masters in the specialties “Construction and civil engineering”, “Computer science and information technologies” of the Civil Engineering Institute of Odessa State Academy of Civil Engineering and Architecture by including the results obtained in textbooks and methodological instructions, for graduation scientific master’s and diploma works.
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