The vibration and noise issues in railway vehicles have gained significant attention in recent years. The environment variations and manufacturing errors introduce significant uncertainties in the vehicle suspension parameters, influencing both vibration levels and ride quality of the railway vehicle. Based on the energy method, the vertical dynamic model of the coupling system consisting of bogie, carbody, and car seat is established, which takes into account the uncertainty of suspension. The model is used to analyze vibration responses, ride quality, and sensitivity of the vehicle. The numerical results indicate that suspension uncertainties significantly affect vertical random vibrations and vertical ride quality. Moreover, the sensitivity of the vertical vibration response of the railway vehicle to suspension parameters varies significantly across different frequency ranges, which will guide the design optimization of the railway vehicle. This study offers valuable insights for the dynamic analysis and optimization design of the railway vehicle.
BruniSVinolasJBergM, et al. (2011) Modelling of suspension components in a rail vehicle dynamics context. Vehicle System Dynamics49(7): 1021–1072.
2.
CaoHZhangWMiaoB (2015) The vertical vibration and suspension parameters design of flexible car body for high-speed railway vehicles. Mechanical Science and Technology for Aerospace Engineering34(05): 775–779.
3.
CarlbomPF (2001) Combining MBS with FEM for rail vehicle dynamics analysis. Multibody System Dynamics6(3): 291–300.
4.
ChenXDengXXuL (2018) A three-dimensional dynamic model for railway vehicle–track interactions. Journal of Computational and Nonlinear Dynamics13(7): 1.
5.
ChenYLiZJiangY, et al. (2025a) Sparse LPV-ARMA model for non-stationary vibration representation and its application on gearbox tooth crack detection under variable speed conditions. Mechanical Systems and Signal Processing224: 112161.
6.
ChenYLiuXRaoM, et al. (2025b) Explicit speed-integrated LSTM network for non-stationary gearbox vibration representation and fault detection under varying speed conditions. Reliability Engineering & System Safety254(PA): 110596.
7.
CuiXZhongY (2025) Evolution mechanism of rail corrugation in the small radius curve section of metro in mountainous city. In: Wear.
8.
DingGZhaiWZhangZ, et al. (2001) The geometric modeling of vehicle-track coupling system based on object-oriented method. Journal of Traffic and Transportation Engineering1(02): 14–17.
9.
GraaMNejlaouiMHouidiA, et al. (2015) Modeling and simulation for vertical rail vehicle dynamic vibration with comfort evaluation. Multiphysics Modelling And Simulation For Systems Design And Monitoring2: 47–57.
10.
JiYHuangYZengJ, et al. (2025) A physical‒data-driven combined strategy for load identification of tire type rail transit vehicle. Reliability Engineering & System Safety253: 110493.
11.
JinGYeTSuZ (2015) Structural vibration: a uniform accurate solution for laminated beams, plates and shells with general boundary conditions. In: Structural Vibration: A Uniform Accurate Solution for Laminated Beams, Plates and Shells with General Boundary Conditions.
12.
LiuGZhouKGongD, et al. (2024) Stochastic elastic vibration characteristics of arbitrary polygonal built-up structures with corrugated sandwich panels. Structures70: 107784.
13.
LuoRLiRHuJ, et al. (2015) Dynamic analysis of high-speed train with stochastic parameters. Journal of Mechanical Engineering51(24): 90–96.
14.
SayyaadiHShokouhiN (2009) A new model in rail–vehicles dynamics considering nonlinear suspension components behavior. International Journal of Mechanical Sciences51(3): 222–232.
WenYXuXShangH, et al. (2016) Modeling and simulation of railway vehicle wheel considering thermo-mechanical coupling. Journal of Traffic and Transportation Engineering16(05): 30–41.
17.
YangD (2020) Research on Effect of the Inerter on Vehicle System Stability. Master. China: Lanzhou Jiaotong University.
18.
YuYZhouCZhaoL (2018) Vertical coupled vibration mechanism of bogie-body-seat system and joint optimization of suspension parameters for high-speed train. Journal of Mechanical Engineering54(08): 57–67.
19.
YuYZhaoLZhouC (2020) A new vertical dynamic model for railway vehicle with passenger-train-track coupling vibration. Proceedings of the Institution of Mechanical Engineers - Part K: Journal of Multi-body Dynamics234(1): 134–146.
20.
ZhaoYZhangYLinJ (2013) Summary on the pseudo-excitation method for vehicle random vibration PSD. Analysis Applied Mathematics and Mechanic34(02): 107–117.
21.
ZhouJ (2020) Vibration and Control on Railway Vehicles. USA: Fudan University Press.
22.
ZhouJGongDSunW, et al. (2009) Influence of vertical elasticity of carbody of railway passenger vehicles on ride quality. Journal of the China Railway Society31(02): 32–37.
23.
ZhouKHuangXZhangZ, et al. (2018) Aero-thermo-elastic flutter analysis of coupled plate structures in supersonic flow with general boundary conditions. Journal of Sound and Vibration430(No.0): 36–58.
24.
ZhouKNiZHuangX, et al. (2020) Stationary/nonstationary stochastic response analysis of composite laminated plates with aerodynamic and thermal loads. International Journal of Mechanical Sciences173: 105461.
25.
ZhouKYouTGongD, et al. (2023) Effects of uncertain suspension parameters on dynamic responses of the railway vehicle system. Probabilistic Engineering Mechanics71: 1.
26.
ZhuHLiuSWuP, et al. (2006) Study on active suspension of rail vehicles based on flexible car-body with fuzzy control strategy. China Mechanical Engineering1(18): 1883–1887.
