000013084 001__ 13084
000013084 005__ 20161114160326.0
000013084 04107 $$aeng
000013084 046__ $$k2009-06-22
000013084 100__ $$aVoros G., M.
000013084 24500 $$aCoupled vibrations of beams with lateral loads

000013084 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013084 260__ $$bNational Technical University of Athens, 2009
000013084 506__ $$arestricted
000013084 520__ $$2eng$$aThe objective of this report is to analyse the free vibration and mode shapes of straight beams where the coupling between the bending and torsion is induced by steady state lateral loads. The governing differential equations and boundary conditions for coupled vibrations of Euler-Bernoulli-Vlasov beams are performed by using the virtual work principle which includes the second order terms of finite beam rotations. Closed form solution is derived for the coupled frequencies and mode shapes of a symmetric beam with simply supported ends under uniform bending. A finite element model with seven degrees of freedoms per node is also presented. To illustrate the accuracy of this formulation, numerical solutions are presented and compared with available solutions. The investigation presented in this report is motivated by the fact that for dynamic structural analyses that are sensitive to the modal vibration properties small errors in the natural frequencies and mode shapes may produce sizable errors in the modal time history and associated structural response.

000013084 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013084 653__ $$aCoupled vibration, Buckling, Torsional warping Abstract. The objective of this report is to analyse the free vibration and mode shapes of straight beams where the coupling between the bending and torsion is induced by steady state lateral loads. The governing differential equations and boundary conditions for coupled vibrations of Euler-Bernoulli-Vlasov beams are performed by using the virtual work principle which includes the second order terms of finite beam rotations. Closed form solution is derived for the coupled frequencies and mode shapes of a symmetric beam with simply supported ends under uniform bending. A finite element model with seven degrees of freedoms per node is also presented. To illustrate the accuracy of this formulation, numerical solutions are presented and compared with available solutions. The investigation presented in this report is motivated by the fact that for dynamic structural analyses that are sensitive to the modal vibration properties small errors in the natural frequencies and mode shapes may produce sizable errors in the modal time history and associated structural response.

000013084 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013084 720__ $$aVoros G., M.
000013084 8560_ $$ffischerc@itam.cas.cz
000013084 8564_ $$s236180$$uhttps://invenio.itam.cas.cz/record/13084/files/CD110.pdf$$yOriginal version of the author's contribution as presented on CD, section: Advances in structural vibrations - i (MS).
000013084 962__ $$r13074
000013084 980__ $$aPAPER