The mathematical model of taking the account of eccentricity of a railway track on the span of railway bridges is proposed. The significant effects of the railway track eccentricity on the character of railway spans vibrations at different speeds of moving a locomotive are investigated.
On the basis of conducted analysis of scientific literature it is noted that the theorems and algorithms used in theories of graphs and automata can serve as a basis for the refinement and development of generally accepted theories and methods in the mechanics of beam systems.
The possibilities of application of the terminal automatic devices and associated matrices to modeling the grid and membrane vibrations with continuous mass distribution and different boundary conditions are examined
The creative life as well as the scientific and pedagogical activities of Academician of the National Academy of Sciences of Ukraine N. G. Bondar are described in the article.
The methods based on the theory of terminating graphs and finite state machines are applied to examination of the space oscillations of rod and beam constructions with distributed parameters. The high performance of topological analysis of the graphs representing two-and three-dimensional rod systems is demonstrated. The secular equations for joint oscillations of the orthogonal system of intercrossed girders with rigid nodal junction are obtained.
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