Vibration and Acoustics Research Journal (VARJ)

Research Article

The influence of the traveling waves on the dynamic behavior of beams

Tassos P. Avraam and George T. Michaltsos

National Technical University of Athens, Athens, Greece.

Submitted: September 16, 2019; Accepted: December 22, 2019

Abstract

Evolution of trains and achievement of very high speeds led researchers to study the influence of these speeds on the dynamic behavior of technical works that undergo developed stresses. In this paper, the effect of the traveling waves on the dynamic behavior of a bridge or of a beam on elastic foundation was studied. Using the results obtained in our previous publication i.e. the formulae giving the expressions of eigenfrequencies and of shape functions, we used the complete model, which is governed by Timoshenko’s equation for the study of the forced motion of a bridge or of a beam on elastic foundation under the action of moving loads with regular to very high speeds. A 2-DOF model is considered for the solution of the bridge or the beam while the theoretical formulation is based on the continuum approach which has been used in literature to analyze such bridges.

Keywords

Wave propagation; Bridges’ dynamic; Critical speeds; Traveling waves.

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