000013282 001__ 13282
000013282 005__ 20161114160334.0
000013282 04107 $$aeng
000013282 046__ $$k2009-06-22
000013282 100__ $$aAsgarian, B.
000013282 24500 $$aVibration and stability analysis of non prismatic timoshenko beams on elastic foundation

000013282 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013282 260__ $$bNational Technical University of Athens, 2009
000013282 506__ $$arestricted
000013282 520__ $$2eng$$aPower series approximation is used to solve the problem of linear vibration and stability of a non-prismatic Timoshenko beam with variable geometric parameters, resting on tow –parameter non homogenous elastic foundation with generalized end conditions. The beam is subjected to normal dynamic force load, tangential load and axial load (tension or compression). The exact fundamental solutions could be found by expressing the coefficients of differential equations in power series form. And also, it is assumed that the functions which describe the beam's variable parameters such as: flexural rigidity, density and loads can be expanded in to power series. The method is applied to solve two problems: the dynamic and free vibration analysis of non prismatic beams on elastic foundation, and the static and stability analysis of non prismatic members have also been investigated by making the frequency ω=0. Several comprehensive examples of non prismatic beams with various boundary conditions such as fixed-free and simple supported, have been presented to show the accuracy and validity of proposed method, and the obtained results are compared with the finite element method and other analytical approaches. The method can be applied for the buckling load and natural frequencies computation of prismatic members and frames as well as non prismatic members.

000013282 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013282 653__ $$aNon prismatic Timoshenko beam, Elastic foundation, Power series, Vibration and Stability analysis. Abstract. Power series approximation is used to solve the problem of linear vibration and stability of a non-prismatic Timoshenko beam with variable geometric parameters, resting on tow –parameter non homogenous elastic foundation with generalized end conditions. The beam is subjected to normal dynamic force load, tangential load and axial load (tension or compression). The exact fundamental solutions could be found by expressing the coefficients of differential equations in power series form. And also, it is assumed that the functions which describe the beam's variable parameters such as: flexural rigidity, density and loads can be expanded in to power series. The method is applied to solve two problems: the dynamic and free vibration analysis of non prismatic beams on elastic foundation, and the static and stability analysis of non prismatic members have also been investigated by making the frequency ω=0. Several comprehensive examples of non prismatic beams with various boundary conditions such as fixed-free and simple supported, have been presented to show the accuracy and validity of proposed method, and the obtained results are compared with the finite element method and other analytical approaches. The method can be applied for the buckling load and natural frequencies computation of prismatic members and frames as well as non prismatic members.

000013282 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013282 720__ $$aAsgarian, B.$$iSoltani, M.
000013282 8560_ $$ffischerc@itam.cas.cz
000013282 8564_ $$s158653$$uhttps://invenio.itam.cas.cz/record/13282/files/CD422.pdf$$yOriginal version of the author's contribution as presented on CD, section: Fem: modelling and simulation - i.
000013282 962__ $$r13074
000013282 980__ $$aPAPER