Response of Elastic Continuum Carrying Moving Linear Oscillator

This paper presents a method for solving the problem of the dynamic response of a continuous elastic structure carrying a moving linear oscillator. The method reduces the problem to the integration of a system of linear ordinary differential equations governing the time-dependent coefficients of the series expansion of the response in terms of the eigenfunctions of the continuous structure. The method is simple and elegant and can be applied to any conservative spatially one-dimensional continuum with arbitrary boundary conditions.