Research Article
An Alternative Solution of Train-Track Dynamic Interaction
Table 1
Main notations adopted in this work.
| Notation | Physical meaning | Unit |
| Zc/Zt/Zw | Vertical displacements of car body, frame, and wheelset | m | βc/βt/βw | Pitch angles of car body, frame, and wheelset | ° | Mc/Mt/Mw | Masses of car body, frame, and wheelset | kg | Cpz/Csz | Damping of primary suspension and secondary suspension | N·s/m | Kpz/Ksz | Stiffness of primary suspension and secondary suspension | N/m | lt | Wheel base | m | lc | Length between bogie centers | m | G | Contact constant of wheel and rail | m/N2/3 | δZ(t) | Elastic compression deformation | m | Zw(t) | Wheel displacement | m | Zr(t) | Rail displacement | m | Z0(t) | Track irregularity | m | zr(x, t)/yr(x, t)/ϕr(x, t) | Vertical, lateral and torsional displacements of the rail | m | mr | Rail mass per unit length | kg/m | ρr | Rail density | kg/m3 | | Locations of ith fastener and jth wheelset | m | Ns/Nw | Numbers of fasteners and wheelsets | — | δ(x) | Dirac delta function | — |
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