Vibration Analysis of an Elastically Restrained Beam

Abstract

The problem of free vibration of Timoshenko beams with elastically supported ends can be solved by using a finite element model which can satisfy all the geometric and natural boundary conditions of an elastically restrained Timoshenko beam. Timoshenko beam takes into account shear deformation and rotational inertia effects, making it suitable for describing the behavior of short beams, sandwich composite beams or beams subject to high-frequency excitation when the wavelength approaches the thickness of the beam.

The effects of the translational and rotational support flexibilities on the natural frequencies of free vibrations of Timoshenko beams with non-idealized end conditions are investigated in detail. Results obtained for the Bernoulli-Euler beam, which is a special case of the present analysis, show excellent agreement with the available results.
In this project, the model is made by using software ANSYS and analysis part is done by using the software ALGOR.