Formulation of a Linearized Model for Vehicle-Track Interactions

Table 2

Main parameters of railway tracks used in the simulation.

Notation	Parameter	Values
E	Elastic modulus of rail (N/m^2)	1970400
ρ	Density of rail (kg/m^3)	7.16 × 10^3
I0	Torsional inertia of rail (m^4)	3.731 × 10^−5
Iy	Rail second moment of area about the Y axis (m^4)	3.257 × 10^−5
Iz	Rail second moment of area about the Z axis (m^4)	5.20 × 10^−6
GK	Rail torsional stiffness (N m/rad)	1.9587 × 10^5
Kpv	Fastener stiffness in vertical direction (N/m)	2.9 × 10^7
Kph	Fastener stiffness in lateral direction (N/m)	1.5 × 10^7
Chp	Fastener damping in vertical direction (N s/m)	5 × 10^4
Ch	Fastener damping in lateral direction (N s/m)	5 × 10^4
Es	Elastic modulus of rail (N/m^2)	3.6 × 10^11
μ	Poisson ratio of slab	0.25
Ms	Mass per unit volume of slab (kg/m^3)	2400
Hs	Height of slab (m)	0.19
Ls	Length of slab (m)	4.95
Ws	Width of slab (m)	2.40
KvCA	Equivalent vertical stiffness coefficient of CA layer (N/m)	6.0 × 10^7
CvCA	Equivalent vertical damping coefficient of CA layer (N/m)	9.0 × 10^4
KhCA	Equivalent vertical stiffness coefficient of CA layer (N/m)	1.03 × 10^6
ChCA	Equivalent vertical damping coefficient of CA layer (N/m)	1.0 × 10^6