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COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Dynamic analysis of a viscoelastic Timoshenko beam
Submission Author:
Anderson Soares , PI , Brazil
Co-Authors:
Anderson Soares da Costa Azevêdo, Simone dos Santos Hoefel, Anderson Soares
Presenter: Anderson Soares da Costa Azevêdo
doi://10.26678/ABCM.COBEM2017.COB17-1604
Abstract
Viscoelastic materials are widely used for passive damping in a variety of engineering structures due to the need for structural stability and durability. Beams are often used as structural elements in many of those structures, like rotor blades, transmission shafts, frames and robotic arms. In this paper, the full development and analysis of Timoshenko’s beam for transversely vibrations uniform viscoelastic beam are presented for classical boundary conditions. The governing equation of motion is obtained based upon Hamilton’s principle and constitutive relations. The viscoelastic beam material is constituted by the Kelvin-Voigt rheological model. Finally, the influence of the viscous internal friction on the natural frequencies and waves dispersion are discussed and numerically demonstrated.
Keywords
Timoshenko beam, viscoelasticity, free vibration, Kelvin-Voigt
