Dr. Sergey Arkhipov Profile

Dr. Sergey Arkhipov

at Buryat State Univ

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Proceedings Article | 15 April 2010 Paper

Transverse vibrations of linear beam system carrying elastically mounted series of discrete masses

S. Arkhipov

Proceedings Volume 7522, 752233 (2010) https://doi.org/10.1117/12.851409

KEYWORDS: Chemical elements, Visualization, Algorithm development, Systems modeling, Mathematical modeling, Differential equations, Structural monitoring, Diagnostics, Resistance, Software development

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This paper considers the transverse vibrations of a line beam system carrying a discrete masses on the elastic foundation. The line beam system consists of step-up beams associating among themselves elastic hinges with one or two degrees of freedom. The series of discrete masses are connected elastically in the separate sections of the beam system. The elastic foundation has piecewise-constant coefficient of rigidity except concentrated inclusions in the form intermediate elastic supports and fixturings. The mathematical model of continuum discrete system is offered here. The solution of differential equations is found analytically using spline-transformation's method. The program MOCODISS (Modeling of Continuous-Discrete Systems) realizes the developed algorithms. MOCODISS gives the means for creating of calculation models for beam type in interactive mode using graphic and tabular editors. There are visual means for creating beam elements with piecewise-constant conditions, elastic hinges with one or two degrees of freedom, rigidly fixed masses, separate elastic supports and/or fixturings, piecewise-constant elastic foundation and the series of masses connecting with the beams. In mode of calculation's results we can used structural monitoring of beam elements,elastic hinges and elastic foundation in the graphic and writing forms. The validity of developed algorithms is confirmed by comparison with the numerical and experimental data of other researches.

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