A new solution of the equilibrium equations of a system of bodies with elastic joints |
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Institution: | Donetsk, Ukraine;Moscow, Russia;Moscow, Russia;Tula, Russia;Graduate School of Engineering, Kobe University, 1-1, Rokkodai, Nada, Kobe 657-8501, Japan;Samara, Russia;School of materials science and engineering, Shanghai University, Shanghai 200444, PR China |
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Abstract: | Different ways of representing the elastic moments are proposed, which can be used for the finite-dimensional modelling of rod systems using a system of n axisymmetric solids, connected by elastic spherical joints. Using the example of a closed plane rod, possible states of equilibrium of the finite-dimensional model of the rod are analysed for different methods of specifying the elastic torques at the joints. The case when the rod axis has the form of a “figure of eight”, which is modelled by a system of six axisymmetric solids with a relative torsion angle that depends on the bending, is investigated in detail. |
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