000015805 001__ 15805
000015805 005__ 20161115135330.0
000015805 04107 $$aeng
000015805 046__ $$k2013-06-12
000015805 100__ $$aStoykov, S.
000015805 24500 $$aNonlinear Vibrations of Rotating 3D Tapered Beams With Arbitrary Cross Sections

000015805 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015805 260__ $$bNational Technical University of Athens, 2013
000015805 506__ $$arestricted
000015805 520__ $$2eng$$aThe geometrically nonlinear vibrations of 3D beams that rotate about a fixed axis are investigated by the p-version finite element method. The beams are considered to be tapered, i.e. with variable thickness along its length, and with arbitrary cross sections. The beam model is based on Timoshenko’s theory for bending and Saint-Venant’s theory for torsion, i.e. it is assumed that the cross section rotates about the longitudinal axis as a rigid body but may deform in longitudinal direction due to warping and the torsion is not considered to be uniform. The warping function is obtained preliminarily by the finite element method. For the case of tapered beams, the warping and torsional constants, the cross sectional area, the second moment of inertia and all cross sectional properties are expressed as functions of the longitudinal local coordinate. Geometrical nonlinearity is taken into account and derived from Green’s strain tensor. Linear elastic and isotropic materials are considered and generalized Hooke’s law is used. The rotation is included in the model through the inertia terms, two coordinate systems are considered: one fixed and one rotating about the fixed one. The equation of motion is derived by the principle of virtual work in the rotating coordinate system but the influence of the rotation of the coordinate system on the displacements of the beam is included in the equation of motion. A setting angle and hub radios are considered, and their influence, as well the influence of the speed of rotation, on the natural frequencies is examined. Forced vibrations in time domain are presented for various setting angles.

000015805 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015805 653__ $$ap-version finite element method, warping function, acceleration of Coriolis, setting angle, bending-bending coupling.

000015805 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015805 720__ $$aStoykov, S.$$iMargenov, S.
000015805 8560_ $$ffischerc@itam.cas.cz
000015805 8564_ $$s1083359$$uhttps://invenio.itam.cas.cz/record/15805/files/1479.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-MS 23 ADVANCES IN STRUCTURAL VIBRATIONS
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000015805 962__ $$r15525
000015805 980__ $$aPAPER