Journal of Theoretical
and Applied Mechanics

49, 1, pp. 3-16, Warsaw 2011

Free and forced oscillations of Timoshenko beam made of viscoelastic material

Arkadiy Manevich, Zbigniew Kołakowski
Dynamics of Timoshenko's beam made of a viscoelastic material is studied. Dimensionless equations of motion are obtained, depending only on two parameters, one of which relates to the shear flexibility and the second – to the viscous internal friction. Advantages of the proposed equations are illustrated by solutions to the free and forced oscillation problems for the simplest case of hinged-hinged beams. The influence of the beam shear flexibility and viscous internal friction on the natural frequencies and the dynamic amplification factor is studied.
Keywords: Timoshenko beam; viscoelasticity; oscilation; internal friction