000004730 001__ 4730
000004730 005__ 20141119144548.0
000004730 04107 $$aeng
000004730 046__ $$k2002-06-02
000004730 100__ $$aTaciroglu, Ertugrul
000004730 24500 $$aSTRUCTURAL ANALYSIS OF FRAMES WITH MIXED VARIATIONAL AND FLEXIBILITY METHODS

000004730 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004730 260__ $$bColumbia University in the City of New York
000004730 506__ $$arestricted
000004730 520__ $$2eng$$aThe need to accurately compute the nonlinear response of structural frames has sparked an interest in the application of mixed variational and flexibility-based methods to the formulation of beam finite elements. The socalled Nonlinear Flexibility Methods, notwithstanding the fact that they have not been extended for geometrically nonlinear problems, appear to perform well compared to classical stiffness methods for inelastic beams (Neuenhofer and Filippou 1997). Flexibility-based methods do not involve interpolation of the displacement field and hence, there is no need for mesh refinement to improve the accuracy of the results. Although, most of these methods appeal to the variational principles (Spacone et al. 1996), their exact variational basis has not been made entirely clear. We show that, because the equations of equilibrium and kinematics can be integrated directly, a nonlinear flexibility method, in the spirit of those presented in the literature, can be derived without appealing to variational principles. The formulation can be implemented as a classical displacement-based finite element method. Furthermore, it can be shown that this nonlinear flexibility method can be interpreted algorithmically, as an optimal two-field (Hellinger-Reissner) variational principle, with minor subtleties. 

000004730 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004730 653__ $$aBernoulli-Euler beam, beam finite elements, nonlinear flexibility methods.

000004730 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004730 720__ $$aTaciroglu, Ertugrul$$iHjelmstad, Keith D.
000004730 8560_ $$ffischerc@itam.cas.cz
000004730 8564_ $$s165247$$uhttp://invenio.itam.cas.cz/record/4730/files/238.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004730 962__ $$r4594
000004730 980__ $$aPAPER