Closed-form random vibration response for columns on elastic foundation and subjected to axial force

Abstract

In this paper we derive closed-form expressions for the autocorrelation functions of the response for uniform beam placed on elastic foundation and subjected to axial deterministic load. The excitation is represented as the white noise in time, and ‘rain-on-the-roof’ excitation in space. The boundary conditions of simple support are discussed. The normal mode approach is utilized, with explicit summation of the infinite series.