Lateral Vibrations of Cantilevers Considering the Effects of Rotatory Inertia, Shear Flexibility and Solid Viscosity

Abstract

Natural frequencies of short cantilevers with different slenderness ratios are calculated using damped Timoshenko beam equation. The existence of extrema is found in the relation between the frequencies and slenderness ratios, and between the frequencies and the damping coefficients belonging to the first spectrum.