Two approaches to the dynamic analysis of foundation beams subjected to subtangential forces

In this paper the dynamic analysis of a foundation beam on a two parameter elastic soil is illustrated in the presence of subtangential follower force. The differential quadrature method and the integral variational formulation Rayleigh–Ritz method are employed. The limiting subtangential coefficient is calculated, which gives the boundary between static and dynamic instability. The paper ends with some numerical examples which confirm the usefulness of the proposed methods.