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Bibliographic description:
Mizhidon A. D.
,
Kharakhinov A. V.
The research of boundary value problem for a Timoshenko beam having elastically attached solid with two degrees of freedom // BSU Bulletin. Mathematics, Informatics. - 2016. №1. . - С. 88-101.
Title:
The research of boundary value problem for a Timoshenko beam having elastically attached solid with two degrees of freedom
Financing:
Работа выполнена при финансовой поддержке РФФИ, проект № 15-08-00973-а
Codes:
DOI: 10.18101/2304-5728-2016-1-88-101UDK: 519.62, 519
Annotation:
The article deals with the mechanical system consisting of solid attached to a Timoshenko beam by two springs. The Hamilton’s variational principle was used for derivation of dynamic equations. We discussed the approach to research free vibrations for the mathematical model, obtained as a hybrid system of differential equations.
Keywords:
Hamilton’s variational principle, solid, a Timoshenko beam, mathematical model, hybrid system of differential equations.
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