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EN
Theoretical and numerical research concerned of stability and free vibrations of slender system subjected to active and passive specific load is presented in the paper. Column supported at the one end by spring with nonlinear characteristics. The boundary problem was formulated one the basis of Hamilton's principle and of the small parameters method. Solution of boundary problem permitted carry out numerical simulations.
EN
In this paper, we present the shape optimization method applied to slender's systems (columns) subjected to Euler's loads. The method used to describe the problem, consist in dividing column into elements. These elements are described by their length (the same for every element) and variable diameter. Total potential energy is determined for two systems varying in loading method. Equation of motion and boundary conditions are determined by taking into account energetic method (the minimum of potential energy). Solution of boundary value problem leads to setting transcendental equation for the value of critical load. It is assumed that volume and total length of column are constant. Basing on this assumption, the shape's optimization comes down to matching diameters of particular system's elements. The maximum value of critical load is obtained for each set of diameters. The modified simulated annealing algorithm is used to finding maximum of critical force, which is described by function of several variables. Applied in the algorithm neighbourhood generator changes its behaviour with temperature function. Taking into account the method of column's mounting, the results of numeric calculations for chosen values of structures mounting's elasticity coefficient are presented.
3
Content available remote Nietypowe rozwiązanie technologii drążenia tunelu drogowego "Valik"
PL
W artykule poinformowano o usprawnieniu dokonanym z myślą o osiągnięciu wymaganej stateczności żelbetowego filara oporowego w tunelu "Valik", będącego znaczną częścią trasy na obwodnicy miasta Pilzno na autostradzie D5 z Pragi do Rozwadowa w Republice Czeskiej. Problem ten rozwiązywano w celu obniżenia ujemnego wpływu drążenia tunelu na środowisko.
EN
The article informs on advancement achieved with regard to achievement of a required stability pf a reinforced concrete barrier in the "Valik" tunnel being a considerable part of the by-pass road around Plzeń city on the highway D5 from Prague to Rozvadov in the Czech Republic. The problem was solved in order to limit the negative impact of the tunnel being driven upon the eivironment.
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