THREE-DIMENSIONAL DYNAMIC INTERACTION OF TIES

A model is presented for the calculation of high speed rail vehicles in which coupling of the ties bedded on the surface of a homogeneous elastic isotropic half space is taken into account. The three dimensional mixed boundary conditions in the region of the rigid ties are satisfied exactly. Numerical results are presented for rectangular concrete ties illustrated by amplitude curves, whereby the side length ratio and the number of the ties are varied. The results demonstrate the influence of coupling on vertical vibrations. Compliance functions for vertical coupling are presented which allow derivation of suitable frequency independent spring and damping coefficients. These compliance functions can be used for calculating the total system tie-rail-vehicle finite element. It is finally shown how these compliance functions can be easily calculated approximately.