Mountainous rack railways face significant operational challenges on steep gradients, where the dynamic stability of ballasted tracks under traction loads is crucial to ensuring operational safety. Existing studies, mostly based on multibody dynamics or finite element methods, have limited capability in revealing the microscopic mechanical behavior of ballast. In this study, a coupled vehicle–track dynamic model for rack railways was developed. Fastener forces on the rail and rack were extracted using Simpack and subsequently applied to a 3-D discrete element model to simulate the structural response of the track. The model was validated against field measurements obtained from a 120 ‰ gradient section, and then employed to systematically analyze the dynamic response characteristics of the track under varying traction forces (50 %, 75 %, 100 %), vehicle loads (AW0–AW3), and gradients (50 ‰–400 ‰). Results indicate that traction force is the dominant factor governing the longitudinal response of the track; its increase markedly amplifies sleeper longitudinal displacement (up to 115 %) and ballast particle migration, far exceeding the vertical response (increase of 44.1 %). Moreover, the influence of rack bogies is greater than that of conventional wheel–rail systems. When the gradient exceeds 200‰, track dynamic responses deteriorate sharply, with sleeper longitudinal acceleration and inter-sleeper displacement difference increasing to 198.8 % and 187 %, respectively, and deep ballast movement becoming significantly intensified. Increased vehicle load primarily raises ballast contact forces and vertical sleeper displacement, with the most pronounced effects occurring beneath the rails. Ballast movement patterns exhibit marked spatial variability: beneath the rack, longitudinal downslope migration predominates, while beneath the rail, more complex local uplift and upslope movement trends are observed. This study elucidates the macro–micro dynamic response mechanisms of steep-gradient ballasted rack railway tracks under traction loads, highlighting the pronounced longitudinal force transmission and ballast instability risks when gradients exceed 200‰, and providing a theoretical basis for track structure optimization and refined maintenance strategies.
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