EFFECT OF TRANSVERSE SHEAR AND ROTARY INERTIA ON THE NATURAL FREQUENCY OF A UNIFORM BEAM

摘要

A theoretical analysis of the effect of transverse shear and rotary inertia on the natural frequencies of a uniform beam is presented. Frequency equations are derived for the cases of the canti¬lever beam, the symmetrically vibrating free-free beam, and the antisymmetrically vibrating free-free beam. Numerical results are pre¬sented in the form of curves giving the frequencies of the first three modes of the cantilever beam and the first six modes, three symmetrical and three antisymmetrical, of the free-free beam.