AUTHOR(S): 

Ümit N. Aribas, Murat Yilmaz, Nihal Eratli, Mehmet H. Omurtag

TITLE

Static and Free Vibration Analysis of Planar Curved Composite Beams on Elastic Foundation

KEYWORDS

Timoshenko beam theory, curved composite beam, elastic foundation, finite element method

ABSTRACT

In this study, static and free vibration analysis of planar curved composite Timoshenko beam on elastic foundation is investigated via mixed finite element formulation. Torsional rigidity of composite cross-sections is determined over warping. In the analysis, two-nodded curved element is used with 24 degrees of freedom. At each node, the unknowns are three translations, three rotations, two shear forces, one axial force, two bending moment and one torque. First, the numerical calculation of the torsional rigidity is verified with the literature and the commercial finite element program results SAP2000 and ANSYS. Next, static and free vibration analysis of planar curved Timoshenko beam with (Winkler foundation) and without foundation is verified with the results available in the literature. In the case of Winkler foundation, the rocking effect is considered. Finally, as an original example, planar curved composite beams resting on Pasternak foundation are analyzed (static and free vibration) using the present mixed finite element formulation.

Cite this paper

Ümit N. Aribas, Murat Yilmaz, Nihal Eratli, Mehmet H. Omurtag. (2017) Static and Free Vibration Analysis of Planar Curved Composite Beams on Elastic Foundation. International Journal of Theoretical and Applied Mechanics, 2, 35-42