THE EFFECT OF STRUCTURAL DAMPING ON NODES FOR THE EULER-BERNOULLI BEAM - A SPECIFIC CASE-STUDY

We examine a uniform beam hinged at both ends and driven at its center by a harmonic forcing function. We show that at forcing frequencies corresponding to the beam's first five odd natural frequencies, the addition of Kelvin-Voigt type structural damping to the standard Euler-Bernoulli beam model has little effect on the predicted location of points of least vibration during steady state resonant excitation.