Engineering Mechanics

Proceedings Vol. 20 (2014)

ENGINEERING MECHANICS 2014

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Uzny S.
pages 722 - 725, full text

In this paper the slender system subjected to Euler’s load has been presented. Considered system is composed of two elements: pipe and rod. The rod is mounted concentrically with the pipe; in such way that the deflection and angle of deflection of pipe and rod are identical. The investigated system is hinged on both ends. In the column between pipe and rod the two-parametric elastic element has been placed. Both transversal and rotational displacements are being limited by means of this element. In the work static problem of considered column was formulated on the basis of minimum total potential energy principle (static criterion of instability). Rectilinear form of static equilibrium is only considered in this paper. On the basis of static criterion of instability the bifurcation load (the biggest load at which system is still in the rectilinear equilibrium) has been determined in relation to system’s parameters. The parameters of the system are as follows: stiffness of translational and rotational springs (elastic layer), flexural rigidity asymmetry factor (pipe and rod), parameter of location of elastic layer.

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