MATEC Web Conf.
Volume 183, 201812th International Conference Quality Production Improvement – QPI 2018
|Number of page(s)||5|
|Published online||31 July 2018|
Quasi-optimization of the slender geometrically nonlinear supporting system with non-prismatic element under the specific load
Institute of Mechanics and Machine Design Fundamentals, Częstochowa University of Technology, Częstochowa, Poland
2 Institute of Mechanics and Machine Design Fundamentals, Częstochowa University of Technology, Częstochowa, Poland
This paper is devoted to the issue of free vibrations of a geometrically nonlinear column with a nonprismatic element modelling the supporting structure subjected to the specific load. The boundary problem was formulated on the basis of the Hamilton’s principle and its solution was obtained using the Lindstedt - Poincare’s small parameter method (a perturbation method). Within the range of the kinetic criterion of the static equilibrium, an influence of the shape of a rod of variable crosssection on the values of free vibrations and the bifurcation load of the system was determined. Presented quasi-optimization issue has been reduced to defining the ranges of physical and geometrical parameters where an increase of the bifurcation load is the biggest in comparison with the reference system.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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