Free Vibrations of Timoshenko Beams on Viscoelastic Foundation

摘要

The transverse free vibration of Timoshenko beams resting on viscoelastic foundation are studied. Complex frequency equations are obtained for pinned-pinned ends. The effects of beam and foundation parameters on natural frequencies are analyzed in numerical examples, and the characteristics of Timoshenko beams are compared with Euler-Bernoulli beams. The results show that natural frequencies grow with increasing the stiffness and the shearing parameters, as well as decreasing the viscoelastic coefficients; the natural frequencies of Timoshenko beams are slightly less than Euler-Bernoulli beams.