Natural frequencies of an infinite beam on a simple inertial foundation model (Q1094916)

A simple inertial foundation model consisting of a 3-dimensional shear layer resting on a bed of closely spaced individual rods capable of wave propagation in the axial direction is suggested here. The frequency equation for an infinite beam resting on such a foundation is determined. It is found to be the same as one given for a beam resting on a 3-D inertial layer. Therefore, this model can be successfully used for considering the effect of the inertia of the foundation on the dynamic response of the structures resting on it.