Figure 3
From: Flexural band gaps and vibration control of a periodic railway track

Theoretical modelling of a track structure in the lateral direction. (a) Two-unit cells; (b) periodic Floquet-Bloch condition imposed to the nodes for angular and transverse displacements; (c) single unit cell represented as a simple beam with rotation \({\psi }_{0}\) and transverse displacement \({z}_{0}\) at free end and clamped at the other end; and (d) equilibrium of forces and moments at node \(j.\)