000022894 001__ 22894
000022894 005__ 20220110134532.0
000022894 04107 $$aeng
000022894 046__ $$k2018-05-14
000022894 100__ $$aSzmidla, J.
000022894 24500 $$aFree vibrations of the slender nonprismatic column under the passive and active follower force directed towards the positive pole

000022894 24630 $$n24.$$pEngineering Mechanics 2018
000022894 260__ $$bInstitute of Theoretical and Applied Mechanics of the Cech Academy of Sciences, Prague
000022894 506__ $$arestricted
000022894 520__ $$2eng$$aThe presented work deals with the issue of the free vibrations of slender nonprismatic column under active and passive load by the follower force directed towards the positive pole (the case of the specific load). The cross-section of the structure variable along the axis is realized by the division into prismatic segments of constant length and variable width described by the polynomial of degree I or II under the conditions of constant total length and volume. On the basis of the adopted physical model and the Bernoulli-Euler's theory, the mechanical energy of the considered column was determined. Taking into account Hamilton's principle (kinetic criterion of the stability loss), the differential equations of motion and natural boundary condition as well as the continuity conditions were obtained. The theoretical considerations and the results of the numerical simulations presented in this article allow to determine the influence of variable cross-section of the column and the geometry of structures implementing the external load on the values of natural frequencies and critical forces.

000022894 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022894 653__ $$afree vibrations, slender systems, column, specific load, active and passive load

000022894 7112_ $$aEngineering Mechanics 2018$$cSvratka, CZ$$d2018-05-14 / 2018-05-17$$gEM2018
000022894 720__ $$aSzmidla, J.$$iJurczyńska, A.
000022894 8560_ $$ffischerc@itam.cas.cz
000022894 8564_ $$s593802$$uhttps://invenio.itam.cas.cz/record/22894/files/845.pdf$$yOriginal version of the author's contribution in proceedings, page , section DYN.
000022894 962__ $$r21225
000022894 980__ $$aPAPER