Abstract
This paper describes an analytical approach for analyzing of the total damping energy for a continuously inhomogeneous elastic-plastic beam structure subjected to cyclic axial forces. The mechanical behaviour of the material is treated by using a cyclic stress-strain curve of the Ramberg-Osgood form. The beam cross-section is a rectangle. The material properties are distributed continuously along the height of the beam cross-section. The unit damping energy is integrated in the beam volume in order to derive the total damping energy. The analytical solution obtained is applied to carry-out a parametric study of the total damping energy in the beam structure.
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