In this paper, an analytical reduced dynamic model of a rail vehicle system is developed. This model considers only 38 degrees of freedom of the rail vehicle system. This reduced model can predict the dynamic behaviour of the rail vehicle while being simpler than existing dynamic models. The developed model is validated using experimental results found in the bibliography and its results are compared with existing more complex models from the literature. The developed model is used for the passenger comfort evaluation, which is based on the value of the weighted root mean square acceleration according to the ISO 2631 standard. Several parameters of the system, i.e., passenger position, loading of the railway vehicle and its speed, and their effect on the passenger comfort are investigated. It was shown that the level of comfort is mostly affected by the speed of the railway vehicle and the position of the seat. The load, however, did not have a significant effect on the level of comfort of the passenger.
MeliEMalvezziMPapiniS. A railway vehicle multibody model for real-time applications. Vehicle Syst Dynam2008; 46: 1083–1105.
2.
CarlbomPF. Combining MBS with FEM for rail vehicle dynamics analysis. Multibody Syst Dynam2001; 6: 291–300.
3.
EomBGLeeHS. Assessment of running safety of railway vehicles using multibody dynamics. Int J Precis Eng Man2010; 11: 315–320.
4.
BruniSVinolasJBergM. Modelling of suspension components in a rail vehicle dynamics context. Vehicle Syst Dynam2011; 49: 1021–1072.
5.
CheliFCorradiR. On rail vehicle vibrations induced by track unevenness: Analysis of the excitation mechanism. J Sound Vib2011; 330: 3744–3765.
6.
SayyaadiHShokouhiN. A new model in rail–vehicles dynamics considering nonlinear suspension components behavior. Int J Mech Sci2009; 51: 222–232.
7.
SezerSAtalayE. Dynamic modeling and fuzzy logic control of vibrations of a railway vehicle for different track irregularities. Simulat Model Pract Theor2011; 19: 1873–1894.
8.
LeeSChengY. Influences of the vertical and the roll motions of frames on the hunting stability of trucks moving on curved tracks. J Sound Vib2006; 294: 441–453.
9.
Sen-YungLYung-ChangC. Hunting stability analysis of high-speed railway vehicle trucks on tangent tracks. J Sound Vib2005; 282: 881–898.
10.
Yung-ChangCSen-YungLHsing-HaoC. Modeling and nonlinear hunting stability analysis of high-speed railway vehicle moving on curved tracks. J Sound Vib2009; 324: 139–160.
11.
NejlaouiMAffiZHouidiA. Analytical modeling of rail vehicle safety and comfort in short radius curved tracks. C R Mecanique2009; 337: 303–311.
12.
DukkipatiRVNarayana SwamyS. Lateral stability and steady state curving performance of unconventional rail trucks. Mech Mach Theor2001; 36: 577–587.
13.
ZengJWuP. Stability analysis of high speed railway vehicles. JSME Int J Ser C2004; 47: 464–470.
14.
HouKKalousekJDongR. A dynamic model for an asymmetrical vehicle/track system. J Sound Vib2003; 267: 591–604.
15.
SoukupJSkočilasJSkočilasováB. Vertical vibration of the vehicle model with higher degree of freedom. Procedia Eng2014; 96: 435–443.
16.
SunYQDhanasekarM. A dynamic model for the vertical interaction of the rail track and wagon system. Int J Solids Struct2002; 39: 1337–1359.
17.
Kalker JJ. On the rolling contact of two elastic bodies in the presence of dry friction. Doctoral Thesis, Delft, the Netherlands, 1967.
18.
BozzoneMPennestriESalviniP. A lookup table based method for wheel–rail contact analysis. Proc IMechE, Part K: J Multi-body Dynamics2011; 225: 127–138.
19.
RecueroAMEscalonaJLShabanaAA. Finite element analysis of unsupported sleepers using three dimensional wheel–rail contact formulation. Proc IMechE, Part K: J Multi-body Dynamics2011; 225: 153–165.
20.
ShabanaAARathodC. Geometric coupling in the wheel/rail contact formulations: a comparative study. Proc IMechE, Part K: J Multi-body Dynamics2007; 221: 147–160.
21.
ShabanaAEl-GhandourAIZaazaaKE. Study of the effect of the spiral geometry on wheel/rail contact forces. Proc IMechE, Part K: J Multi-body Dynamics2011; 225: 111–125.
22.
FloresPAmbrosioJClaroJCP. Influence of the contact-impact force model on the dynamic response of multi-body systems. Proc IMechE, Part K: J Multi-body Dynamics2006; 220: 21–34.
23.
NaeimiMZakeriJAShadfarM. 3D dynamic model of the railway wagon to obtain the wheel–rail forces under track irregularities. Proc IMechE, Part K: J Multi-body Dynamics2015; 0: 1–13.
24.
PomboJAmbrósioJPereiraM. Development of a wear prediction tool for steel railway wheels using three alternative wear functions. Wear2011; 271: 238–245.
25.
AyasseJBCholletH. Determination of the wheel rail contact patch in semi-Hertzian conditions. Vehicle Syst Dyn2005; 43: 161–172.
26.
IwnickiS. Handbook of railway vehicle dynamics, Florida: Taylor & Francis Group, 2006.
27.
Wu TX and Thompson DJ. Wheel–rail non-linear interaction with coupling between vertical and lateral directions. ISVR – Institute of Sound and Vibration Research Technical Memorandum, No. 891, University of Southampton, 2002.
28.
ShabanaAAZaazaaKEEscalonaJL. Development of elastic force model for wheel/rail contact problems. J Sound Vib2004; 269: 295–325.
29.
MessouciM. Steady state motion of rail vehicle with controlled creep forces on curved track. ARPN J Eng Appl Sci2009; 4: 10–18.
30.
NejlaouiMHouidiAAffiZ. Multiobjective robust design optimization of rail vehicle moving in short radius curved tracks based on the safety and comfort criteria. Simulat Model Pract Theor2013; 30: 21–34.
31.
HalpernDWilsonHBTurcotteLH. Advanced mathematics and mechanics applications using MATLAB, 3rd ed. Boca Raton: Chapman & Hall/CRC, 2003.
32.
MetinMGucluR. Vibrations control of light rail transportation vehicle via PID type fuzzy controller using parameters adaptive method. Turk J Elec Eng Comp Sci2011; 19: 807–816.
33.
ISO 2631. Mechanical vibration and shock-evaluation of human exposure to whole-body vibration, 2nd ed. Geneva: ISO – International Organization for Standardization, 1997.
34.
International Organization for Standardization, ISO 2631-1. Mechanical vibration and shock-evaluation of human exposure to whole body vibration-part 1: general requirements, Geneva: ISO, 1997.
35.
KimYGKwonHBKimSW. Correlation of ride comfort evaluation methods for railway vehicles. Proc IMechE, Part F: J Rail Rapid Transit2003; 217: 73–88.
36.
CEN, EN 12299. Railway confort applications-ride for passagers-measurement and evaluation. Austrian Standards Institute, 2009.
