A Fast Modeling Technique for the Vertical Train-Track-Bridge Interactions

Table 1

The model parameters.

Parameter	Notation	Value	Unit
Bridge
Length per single		32	m
Young’s modulus		2.94E + 10	Pa
Moment inertia		5.0E + 5	m^4
Mass density per unit length		5.0E + 5	kg/m
Track
Young’s modulus		2.06E + 11	Pa
Moment inertia		4.07E − 5	m^4
Mass density per unit length		103	kg/m
Connection stiffness between rail and bridge		1.32E + 8	N/m
Connection damping between rail and bridge		6.42E + 4	N·s/m
Train
Train body mass		5.20E + 4	kg
Roll mass moment of train body		2.31E + 6	kg·m^2
Bogie mass		3200.00	kg
Roll mass moment of bogie		3120.00	kg·m^2
Wheelset mass		1400.00	kg
Stiffness of second suspension		1.72E + 6	N/m
Damping of second suspension		1.96E + 5	N·s/m
Stiffness of primary suspension		1.87E + 6	N/m
Damping of primary suspension		5.00E + 5	N·s/m
Half distance of two bogies		9.00	m
Half distance of two wheelsets		1.25	m