Stochastic Analysis on the Resonance of Railway Trains Moving over a Series of Simply Supported Bridges

Table 1

Mechanical parameters of the railway vehicle, track, and bridge adopted in the simulation.

Parameters	Values	Parameters	Values
Mass of car body mc	38.9 t	Moment of inertia of the rail cross section Ir	3.217 × 10^−5 m^4
Mass of bogie mt	2.2 t	Mass of the rail per unit length mr	60.64 kg/m
Mass of wheelset	1.52 t	Stiffness of the rail pad kp	5.0 × 10^7 N/m
Mass moment of inertia of car body Jc	1905 t m^2	Damping of the rail pad cp	3.6 × 10^4 N s/m
Mass moment of inertia of bogie Jt	1.233 t m^2	Fastener spacing Lf	0.65 m
Semilongitudinal distance between bogies Lc	8.6875 m	Elastic modulus of the track slab Es	3.65 × 10^4 MPa
Semilongitudinal distance between wheelsets Lt	1.25 m	Moment of inertia of the slab cross section Is	1.372 × 10^−3 m^4
Length of the car body Dc	24.775 m	Length/width/thickness of the slab Ls//Hs	6.5/2.5/0.20 m
Stiffness of the primary suspension k1z	887 kN/m	Density of the track slab/bridge ρs/ρb	2500 kg/m^3
Stiffness of the secondary suspension k2z	203 kN/m	Length of the bridge Lb	32.5 m
Damping of the primary suspension c1z	10 kN s/m	Mass of the bridge per unit length mb	31.4 t/m
Damping of the secondary suspension c2z	10 kN s/m	Elastic modulus of the bridge Eb	3.45 × 10^4 MPa
Rolling radius of the wheel	0.46 m	Moment of inertia of the bridge cross section Ib	6.2 m^4
Elastic modulus of the rail Er	2.1 × 10^5 MPa	Damping ratio of the bridge ζ	0.03