Forced flexural vibrations of a Timoshenko column supported by an elastic half-space

The plane stress problem of forced flexural vibrations of an elastic column supported by an elastic half-space and subjected to a sinusoidally varying force at the free end is investigated analytically, by applying the Timoshenko theory to the column. Numerical results obtained from the Timoshenko theory are compared with those from the Bernoulli-Euler theory, and the effects of column slenderness and foundation stiffness on the column response curves and the resonant frequencies of the system are clarified.