000008881 001__ 8881
000008881 005__ 20141204083529.0
000008881 04107 $$aeng
000008881 046__ $$k12/05/2014
000008881 100__ $$aSokół, K.
000008881 24500 $$aINFLUENCE OF THE BENDING RIGIDITY FACTOR ON VIBRATION AND INSTABILITY OF A COLUMN WITH INTERNAL CRACK

000008881 24630 $$n20.$$pEngineering Mechanics 2014
000008881 260__ $$bBrno University of Technology- Institute of Solid Mechanics, Mechatronics and Biomechanics
000008881 506__ $$arestricted
000008881 520__ $$2eng$$aIn this paper, the results of studies on transverse vibrations and instability of a geometrically nonlinear column with internal crack subjected to Euler’s load are presented. The investigated column is composed of two members. The bending rigidity stiffness between members is described by the bending rigidity ratio. The internal member consists of two elements, connected by a pin and a rotational spring of stiffness C. The rotational spring stiffness C shows the size of crack. The boundary problem has been formulated on the basis of the Hamilton's principle. Due to the geometrical nonlinearity of the system, the solution of the problem was performed by means of the perturbation method. The natural vibration frequencies were computed after obtaining the equations from the first power of the small parameter ε. The results of numerical calculation illustrate the influence of the bending rigidity factor and crack size on vibration frequency and critical loading of the system.

000008881 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000008881 653__ $$aCrack, Column, Vibration, Non-linear system, Instability.

000008881 7112_ $$aEngineering Mechanics 2014$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2014
000008881 720__ $$aSokół, K.
000008881 8560_ $$ffischerc@itam.cas.cz
000008881 8564_ $$s339102$$uhttp://invenio.itam.cas.cz/record/8881/files/134-Sokol-CD.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 134.
000008881 962__ $$r70
000008881 980__ $$aPAPER