MODES OF VIBRATION OF THE BEAMS UNDER THE INFLUENCE OF DISCONTINUITY IN FOUNDATION

Vladimir Stojanović, Pedro Ribeiro

DOI Number
-
First page
289
Last page
303

Abstract


Vibrations of the Timoshenko beams resting on the Winkler and Pasternak elastic foundation with discontinuity are investigated in this paper. A p-version finite element method that accounts for shear deformation is used. This p-element has special displacement shape functions that make it particularly appropriate for dealing with problems with discontinuities such as those introduced in the foundation. A set of ordinary differential equations is derived; geometrical non-linearity is considered in these equations for the sake of generality and for future use. Natural frequencies and mode shapes of vibration (composed by transverse displacements and rotations of cross sections) of the shear deformable beam are presented for diverse sizes and location of the discontinuity in the foundation. Results of the present approach are compared with the ones computed via established finite element software for various stiffness of the elastic support of the Winkler and Pasternak type.

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ISSN: 2335-0164 (Online)

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