Browse > Article
http://dx.doi.org/10.12989/sem.2014.49.3.329

Design of LQR controller for active suspension system of Partially Filled Tank Cars  

Feizi, Mohammad Mahdi (School of Railway Engineering, Iran University of Science and Technology)
Rezvani, Mohammad Ali (School of Railway Engineering, Iran University of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.49, no.3, 2014 , pp. 329-353 More about this Journal
Abstract
Increasing usage of tank cars and their intrinsic instability due to sloshing of contents have caused growing maintenance costs as well as more frequent hazards and defects like derailment and fatigue of bogies and axels. Therefore, varieties of passive solutions have been represented to improve dynamical parameters. In this task, assuming 22 degrees of freedom, dynamic analysis of partially filled tank car traveling on a curved track is investigated. In order to consider stochastic geometry of track; irregularities have been derived randomly by Mont Carlo method. More over the fluid tank model with 1 degree of freedom is also presented by equivalent mechanical approach in terms of pendulum. An active suspension system for described car is designed by using linear quadratic optimal control theory to decrease destructive effects of fluid sloshing. Eventually, the performance of the active suspension system has been compared with that of the passive one and a study is carried out on how active suspension may affect the dynamical parameters such as displacements and Nadal's derailment index.
Keywords
tank cars; sloshing; fluid solid interaction; dynamic stability; derailment; active suspension system;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Cheng, Y., Lee, S. and Chen, H. (2009), "Modeling and nonlinear hunting stability analysis of high-speed railway vehicle moving on curved tracks", J. Sound Vib., 324, 139-160   DOI
2 Evans, J.R. and Rogers, P.J. (1998), "Validation of dynamic simulations of rail vehicles with friction damped Y25 bogies", Veh. Syst. Dyn., 29(1), 219-233.   DOI
3 Fryba, L.(1996), "Dynamics of Railways Bridres", Thomas Telford House, Czech Republic.
4 GM/GN2688 (2010), "Guidance on the Structural Design of Rail Freight Wagons including Rail Tank Wagons", Rail Industry Guidance Note for GM/RT2100, Issue Four.
5 USA, DOT/FRA/ORD-06/16.
6 Lee, S. and Cheng, Y. (2005), "Hunting stability analysis of higher-speed railway vehicle trucks on tangent tracks", J. Sound Vib., 282, 881-898.   DOI   ScienceOn
7 Lee, S. and Cheng, Y. (2006), "Influences of the vertical and the roll motions of frames on the hunting stability of trucks moving on curved tracks", J. Sound Vib., 294, 441-453.   DOI   ScienceOn
8 Locovei, C., Radula, A., Nicoara, M. and Cucuruz, L.A. (2010), "Analysis of fatigue fracture of tank wagon railway axles", Proceedings of the 3rd WSEAS Int. Conference on Finite diffrences - Finite elements - Finite Volume - Boundary Elements, Romania.
9 Molatefi, H., Hecht, M. and Kadivar, M.H. (2006), "Critical speed and limit cycles in the empty Y25-freight wagon", Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 220(4), 347-359.   DOI
10 Nadal, M.J. (1908), "Locomotive a vapeur,Collection Encyclopedie scientific, Biblioteque de Mechanique Appliquee et Genie", 186, Paris.
11 Ormeno, M., Larkin, T. and Chouw, N. (2012), "Influence of uplift on liquid storage tanks during earthquakes", Coupl. Syst. Mech., 1(4), 311-324.   DOI
12 Prabhakaran, A., Trent, R. and Sharma, V. (2005), "Impact Performance of Draft Gears in 263,000 Pound Gross Rail Load and 286,000 Pound Gross Rail Load Tank Car Service", Federal Railroad Administration.
13 Sumner, I.E. (1965), "Experimentally Determined Pendulum Analogy of Liquid Sloshing in Spherical and Oblate-Spheroidal Tanks", NASA-TN-2637.
14 Tan, X. and Rogers, R.J. (1995), "Equivalent Viscous damping models of coulomb friction in multi degree freedom vibration systems", J. Sound Vib.. 185(1), 33-50.   DOI
15 UIC (1999) Leaflet 518 (draft), "Test and approval of railway vehicles from the points of view of dynamic behavior, safety, track fatigue and ride quality", International Union of Railways.
16 Vera, C., Paulin, J., Suarez, B. and Gutierrez, M. (2005), "Simulation of freight trains equipped with partially filled tank containers and related resonance phenomenon", Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 219(4), 245-259.   DOI
17 Aliabadi, S., Johnson, A. and Abedi, J. (2003), "Comparison of finite element and pendulum models for simulation of sloshing", Comput. Fluid., 32, 535-545.   DOI
18 Wang, T.L. (1992), "Impact in a railway truss bridg", Comput. Struct. J., 49(6), 1045-1054.
19 Abramson, H.N.(1966), "The Dynamic Behavior of Liquids in Moving Containers", NASA-SP-106..
20 Au, F.T.K. (2002), "Impact study of cable-stayed railway bridges with random rail irregularities", Eng. Struct., 24, 529-541.   DOI   ScienceOn
21 Cakir, T. and Livaoglu, R. (2013), "Experimental analysis on FEM definition of backfill-rectangular tank-fluid system", Geomech. Eng., 5(2), 165-185.   DOI   ScienceOn
22 Wiriyachai, A., Chu, K.H. and Garg, V.K. (1982), "Bridge impact due to wheel and track irregularities", J. Eng. Mech. Div., ASCE, 108(4), 648-666.
23 Younesian, D., Abedi, M. and Hazrati Ashtiani, I. (2010), "Dynamic analysis of a partially filled tanker train travelling on a curved track", Int. J. Heavy Veh. Syst., 17(3-4), 331-358.   DOI
24 Zeng, J. and Wu, P. (2004), "Stability analysis of high speed railway vehicles", JSME Int. J., Series C:Mech. Syst., Mach. Elem. Manufact., 47(2), 464-470.
25 Zhou, R., Zolotas, A. and Goodall, R. (2011), "Integrated tilt with active lateral secondary suspension control for high speed railway vehicles", Mechatronics, 21(6), 1108-1122.   DOI