Table 1 Properties of the rail track fastening system50.

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

Component

Property

Value

Rail

Density \((\rho )\)

7850 \({\mathrm{kg}/\mathrm{m}}^{3}\)

Modulus of elasticity \((E)\)

2.1E11 \(\mathrm{N}/{\mathrm{m}}^{2}\)

Area of cross-section \((A)\)

77.45E-4 \({\mathrm{m}}^{2}\)

Second moment of inertia

\({I}_{yy}\)

5.24E-6 \({\mathrm{m}}^{4}\)

\({I}_{zz}\)

32.17E-6 \({\mathrm{m}}^{4}\)

Fastening

Stiffness in lateral direction

Translational \(({k}_{z})\)

10E6 \(\mathrm{N}/\mathrm{m}\)

Rotational \(({k}_{\varphi y})\)

7E4 \(\mathrm{Nm}/\mathrm{rad}\)

Stiffness in vertical direction

Translational \(({k}_{y})\)

35E6 \(\mathrm{N}/\mathrm{m}\)

Rotational \(({k}_{\varphi z})\)

5E6 \(\mathrm{Nm}/\mathrm{rad}\)

Spacing \((l)\)

0.625 \(\mathrm{m}\)