Bending Vibrations of a Viscoelastic Euler-Bernoulli Beam – Two Methods and Comparison

Abstract:

The study of the bending vibrations of Euler-Bernoulli beams is typically performed based on pure elastic material models, which neglect the damping. However, in practice, due to the internal friction of the material, the vibrations are damped. This phenomenon can be taken into account by using a viscoelastic material model, in which supplementary strains, dependent on the strain rates, are considered. In the paper, free bending vibrations of homogeneous viscoelastic Euler-Bernoulli beams are studied by developing generalized forms of an exact and of an approximate method, respectively, used regularly in the study of pure elastic Euler-Bernoulli beams. The developed methods are applied and compared on a numerical example, highlighting their advantages and limitations.

• Periodical: Applied Mechanics and Materials (Volume 762)
• Pages: 47-54
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.762.47
• Online since: May 2015
• Authors: Andrei Craifaleanu*, Nicolaie Orăşanu, Cristian Dragomirescu
• Keywords: Discretization, Eigenfrequencies, Fixed Ends, Free Damped Vibrations

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