STABILITY AND DYNAMIC ANALYSIS OF 2-PARAMETER FOUNDATION BEAMS

A dynamic and stability analysis of a foundation beam resting on a two-parameter elastic soil is performed. The beam's cross-section can vary according to an arbitrary law, all the boundary conditions can be examined, and the presence of intermediate constraints and concentrated masses can be easily dealt with. Both the soil parameters can vary along the span with an arbitrary law. The structure is reduced to a n degrees of freedom system, the kinetic energy and the total potential energy are readily written, and the resulting eigenvalue problems can be solved to give the free vibration frequencies or the critical loads. Numerical examples and comparisons show the effectiveness of the proposed approach.