Infinite beam on elastic foundation

The problem of a force moving along an infinite beam on an elastic foundation is of great theoretical and practical significance. It was first solved by S. P. Timoshenko [217], and for the case of a constant force theoretically refined by J. Dorr [54] as to the transient phenomenon, and by J. T. Kenney [122]. The motion of a harmonic force was considered by P. M. Mathews [152], that of a sprung mass with two harmonic forces by E. G. Goloskokov and A. P. Filippov [98]. The case of an infinite beam traversed by a force generally variable in time was approximately solved by the author [68].