000013106 001__ 13106
000013106 005__ 20161114160327.0
000013106 04107 $$aeng
000013106 046__ $$k2009-06-22
000013106 100__ $$aSapountzakis E., J.
000013106 24500 $$aNonlinear dynamic analysis of timoshenko beams

000013106 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013106 260__ $$bNational Technical University of Athens, 2009
000013106 506__ $$arestricted
000013106 520__ $$2eng$$aIn this paper, a boundary element method is developed for the nonlinear dynamic analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, undergoing moderate large deflections under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to two stress functions and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. The proposed model takes into account the coupling effects of bending and shear deformations along the member as well as the shear forces along the span induced by the applied axial loading. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. Both free and forced vibrations are examined.

000013106 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013106 653__ $$aNonlinear Dynamic Analysis; Large Deflections; Timoshenko Beam; Shear center; Shear deformation coefficients; Boundary element method Abstract. In this paper, a boundary element method is developed for the nonlinear dynamic analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, undergoing moderate large deflections under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to two stress functions and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. The proposed model takes into account the coupling effects of bending and shear deformations along the member as well as the shear forces along the span induced by the applied axial loading. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. Both free and forced vibrations are examined.

000013106 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013106 720__ $$aSapountzakis E., J.$$iDourakopoulos J., A.
000013106 8560_ $$ffischerc@itam.cas.cz
000013106 8564_ $$s479649$$uhttps://invenio.itam.cas.cz/record/13106/files/CD142.pdf$$yOriginal version of the author's contribution as presented on CD, section: Advances in structural vibrations - i (MS).
000013106 962__ $$r13074
000013106 980__ $$aPAPER