Dynamic response of a periodically supported railway track in case of a moving complex phasor excitation

Abstract

Most of the known solution methods of periodically supported beam problems involve application of infinite sums (see eg. [2] and references there). This fact makes it hard to investigate qualitative properties. In 1995 Droździel, Sowiński and Żochowski [1] proposed a new method in case of fixed loads, that involves only finite sums for obtaining the solution of the problem. Independently, the present authors and Zoltán Zábori [3] gave a closed-form solution in case of finitely many, altough inhomogeneous in position, stiffness and damping, supports. Combining the last two methods we give here a finite, closed-form solution for the periodically supported infinite Bernoulli-Euler beam problem, that works even in the case of moving time-dependent loads represented by moving complex phasors.