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Spectral Optimization of the Suspension System of High-speed Trains

Spectral Optimization of the Suspension System of High-speed Trains

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D. Younesian et al. 2009. Int. J. Vehicle Structures & <strong>System</strong>s, 1(4), 98-103<br />

one <strong>of</strong> disadvantages <strong>of</strong> viscose dampers which can<br />

dramatically increase <strong>the</strong> transmitted accelerations.<br />

Css and Cps (Ns/m)<br />

220000<br />

210000<br />

200000<br />

190000<br />

180000<br />

170000<br />

160000<br />

150000<br />

140000<br />

130000<br />

track1_cps<br />

track2_cps<br />

track1_css<br />

track2_css<br />

120000<br />

15 20 25 30 35 40 45 50 55<br />

Speed (m/s)<br />

Fig. 12: Effect <strong>of</strong> <strong>the</strong> track quality on optimal values <strong>of</strong> damping<br />

4. Conclusions<br />

An optimal suspension system for high-<strong>speed</strong> passenger<br />

trains was proposed in this paper. Two main objective<br />

functions <strong>of</strong> <strong>the</strong> ride comfort and <strong>the</strong> fatigue life <strong>of</strong> <strong>the</strong><br />

suspension system were simultaneously taken into<br />

account. A multi-variable optimization was performed<br />

using <strong>the</strong> Genetic Algorithm. Four design parameters<br />

including <strong>the</strong> damping properties <strong>of</strong> <strong>the</strong> secondary and<br />

primary suspension as well as <strong>the</strong> wire diameter <strong>of</strong> <strong>the</strong>ir<br />

coil springs were obtained for a real high-<strong>speed</strong> wagon.<br />

It was found that optimal damping values for <strong>the</strong> primary<br />

and secondary suspensions are both decreasing functions<br />

<strong>of</strong> <strong>the</strong> operational <strong>speed</strong>s. For eccentricity values lower<br />

than 4 meters one can assume that eccentricity has no<br />

significant effect on <strong>the</strong> optimal values <strong>of</strong> damping. It<br />

was also found that optimal value <strong>of</strong> <strong>the</strong> primary<br />

suspension damping decreases when <strong>the</strong> track quality<br />

becomes worse and in contrary, optimal values <strong>of</strong> <strong>the</strong><br />

secondary suspension damping increases.<br />

Dependency <strong>of</strong> <strong>the</strong> optimal diameters on <strong>the</strong><br />

operational <strong>speed</strong> is much lower than optimal damping<br />

values. It was also observed that <strong>the</strong> optimal value <strong>of</strong> <strong>the</strong><br />

primary suspension coil spring diameter is generally<br />

larger than secondary suspension in <strong>the</strong> whole <strong>speed</strong><br />

range. Dependency <strong>of</strong> <strong>the</strong> secondary suspension optimal<br />

stiffness on <strong>the</strong> operational <strong>speed</strong> is lower than that <strong>of</strong><br />

primary suspension system. Validity <strong>of</strong> <strong>the</strong> optimization<br />

was verified using numerical simulations both in<br />

frequency and time domains. It was proved that any<br />

deviations with respect to optimal value lead to<br />

significant deviations with respect to <strong>the</strong> optimal<br />

situation.<br />

REFERENCES:<br />

[1] Y.G. Kim, C.K. Park, and H.S. Hwang. 2003. Design<br />

optimization for suspension system <strong>of</strong> high <strong>speed</strong> train<br />

using neural network, JSME Int. J. - Series C: Mechanical<br />

<strong>System</strong>s, 46, 727-735.<br />

[2] Z. Xu and K. Seto. 2001. Optimizing parameters <strong>of</strong> a twodegree-<strong>of</strong>-freedom<br />

maglev system, Proc. ASME Design<br />

Engineering Technical Conf., 87-92.<br />

[3] G.P. Burchak and Savos'kin. 1999. <strong>Optimization</strong> <strong>of</strong> <strong>the</strong><br />

suspension parameters <strong>of</strong> transport facilities with <strong>the</strong><br />

stochastic properties <strong>of</strong> <strong>the</strong> system and disturbances taken<br />

into account, Soviet Engineering Research, 9, 23-29.<br />

103<br />

[4] G. Gao and K. Yang. 2004. Experimental modelling and<br />

its application for semi-active control <strong>of</strong> high-<strong>speed</strong> train<br />

suspension system, J. Mechanical Engineering, 40, 87-91.<br />

[5] Shieh and Niahn-Chung. 2004. Optimal design for passion<br />

<strong>of</strong> a light rail vehicle using constrained multi-objective<br />

evolutionary search, Proc. IEEE Int. Conf. Networking,<br />

Sensing and Control, 134-139.<br />

[6] W.H. Liao and D.H. Wang. 2003. Semi active vibration<br />

control <strong>of</strong> train suspension systems via magneto<br />

rheological dampers, J. Intelligent Material <strong>System</strong>s &<br />

Structures, 14, 161-172.<br />

[7] T.X. Mei and R.M. Goodall. 2002. Use <strong>of</strong> multi objective<br />

genetic algorithms to optimize inter-vehicle active<br />

suspensions, J. Rail & Rapid Transit, 216, 53-63.<br />

[8] N.M. Moran, A. Tamura, and Y. Koizumi. 1997.<br />

Identification and control <strong>of</strong> nonlinear active pneumatic<br />

suspension for railway vehicles using neural networks,<br />

Control Engineering Practice, 5, 1137-1144.<br />

[9] A.C. Zolotas, R.M. Goodall, and Halikias. 2007. Recent<br />

results in tilt control design and assessment <strong>of</strong> high-<strong>speed</strong><br />

railway vehicles, J. Rail & Rapid Transit, 221, 291-312.<br />

[10] Y. Sunaga and I. Sano. 1997. A practical use <strong>of</strong> axle-box<br />

acceleration to control <strong>the</strong> short wave track irregularities,<br />

Railway Tech. Research Institute Quarterly J., 38, 1-6.<br />

[11] D. Younesian, M. H. Kargarnovin, D. J. Thompson, and<br />

C. J. C. Jones. 2005. Ride comfort <strong>of</strong> high <strong>speed</strong> train<br />

travelling over railway bridges, Vehicle <strong>System</strong> Dynamics,<br />

43(3), 173-197.<br />

[12] M.H. Kargarnovin, D. Younesian, D.J. Thompson, and<br />

C.J.C. Jones. 2004. Non-linear vibration and comfort<br />

analysis <strong>of</strong> high-<strong>speed</strong> trains moving over <strong>the</strong> railway<br />

bridges, Proc. ASME Conf., UK.<br />

[13] D. Younesian, E. Esmailzadeh, and R. Sedaghati. 2006.<br />

Passive control <strong>of</strong> vibration <strong>of</strong> beams subjected to random<br />

excitations with peaked PSD, J. Vibration & Control,<br />

12(9), 941-953.<br />

EDITORIAL NOTES:<br />

Edited paper from 2 nd Int. Conf. on Recent Advances in<br />

Railway Engineering, 27-28 September 2009, Tehran, Iran.<br />

GUEST EDITOR: Pr<strong>of</strong>. Javad M. Sadeghi, School <strong>of</strong> Railway<br />

Engineering, Iran University <strong>of</strong> Science and Technology,<br />

Farjam St, Tehran 16846-13114, Iran.

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