Optimal Nonlinear Energy Sinks in Vibration Mitigation of the Beams Traversed by Successive Moving Loads

Subject Areas : Engineering

D Younesian ¹ , A Nankali ² , E Motieyan ³

1 - Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology
2 - Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology---- Department of Mechanical and Aerospace Engineering, New-Mexico State University, Las Cruces, USA
3 - Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology

Received: 2011-10-23 Accepted : 2011-11-30 Published : 2011-12-30

Keywords: Genetic Algorithm, Nonlinear Energy Sink (NES), Vibration suppression, Beam, Successive moving load,

Abstract :

Optimal Nonlinear Energy Sink (NES) is employed in vibration suppression of the beams subjected to successive moving loads in this paper. As a real application, a typical railway bridge is dynamically modeled by a single-span beam and a traveling high-speed train is simulated by a series of successive moving loads. Genetic algorithm is employed as the optimization technique and optimal parameters of the NES system are accordingly obtained. It is found that the NES can remarkably suppress the vibration level particularly in vicinity of the critical speeds. A sensitivity analysis is then carried out and robustness of the optimal NES is investigated. A parametric study is performed and performance of the optimal NES is evaluated for different values of the load speeds, load magnitudes, load intervals and mass ratios.

References:

[1] Shaw J., Shaw S. W., Haddow A.G., 1989, On the response of the non-linear vibration absorber, International Journal of Non-Linear Mechanics 24(4): 281-293.

[2] Rice H. J. , McCraith J.R., 1987, Practical non-linear vibration absorber, Journal of Sound Vibration 116(3): 545-559.

[3] Oueini S.S., Chin C.M., Nayfeh A.H., 1999, Dynamics of a cubic nonlinear vibration absorber, Nonlinear Dynamics 20(3): 283-295.

[4] Oueini S.S., Nayfeh A.H., 2000, Analysis and application of a nonlinear vibration absorber, Journal of Vibration and Control 6(7): 999-1016.

[5] Vakakis A.F., 2001, Inducing passive nonlinear energy sinks in vibrating systems, Journal of Vibration and Acoustics 123(3): 324-332.

[6] Vakakis A.F., 2003, Shock isolation through the use of nonlinear energy sinks, Journal of Vibration and Control 9(1-2): 79-93.

[7] Lee Y.S., Vakakis A.F., Bergman L.A., McFarland D.M., Kerschen G., 2007, Suppressing aero elastic instability using broadband passive targeted energy transfers, part 1:Theory.AIAA Journal 45(3): 693-711.

[8] Lee Y.S., Kerschen G., Michael McFarland D., Joel Hill W., Nichkawde C., Strganac T.W., Bergman L.A., Vakakis A.F., 2007, Suppressing aero elastic instability using broadband passive targeted energy transfers, part 2: Experiments, AIAA Journal 45(10): 2391-2400.

[9] Nucera F., McFarland D.M., Wise M., Iacono F.L., Bergman L., Vakakis A., 2006, Application of nonlinear energy sink to seismic mitigation, Proceedings of the 2nd International Conference on Nonlinear Normal Modes and Localization in Vibrating Systems, Samos, Greece.

[10] Georgiades F., Vakakis A.F., 2007, Dynamics of a linear beam with an attached local nonlinear energy sink, Communications in Nonlinear Science and Numerical Simulations 12(5): 643-651.

[11] Viguié R., Kerschen G., Golinval J.-C., McFarland D.M., Bergman L.A., Vakakis A.F., Van de Wouw N., 2009, Using passive nonlinear targeted energy transfer to stabilize drill-string systems, Mechanical Systems and Signal Processing 23(1): 148-169.

[12] Kwon H.C., Kim M.C., Lee, I.W., 1998, Vibration control of bridges under moving loads, Computers and Structures 66: 473-480.

[13] Wang J.F., Lin C.C., Chen B.L., 2003, Vibration suppression for high-speed railway bridges using tuned mass dampers, International Journal of Solids and Structures 40: 465-491.

[14] Younesian D., Esmailzadeh E., Sedaghati R., 2006, Passive vibration control of beams subjected to random excitations with peaked PSD, Journal of Vibration Control 12(N9): 941-953.

[15] Younesian D., Kargarnovin M.H., Esmailzadeh E., 2008, Optimal passive vibration control of Timoshenko beams with arbitrary boundary conditions traversed by moving load, Proceedings of the IMechE, Part K: Journalof Multi-body Dynamics 222: 179-189.

[16] Chen Y.H., Chen D.S., 2004,Timoshenko beams with tuned mass dampers to moving loads, Journal Bridge Engineering 9: 167-177.

[17] Younesian D., Esmailzadeh E., 2011, Vibration suppression of rotating beams using time-varying internal tensile force, Journal of Sound and Vibration 330: 308-320.

[18] Gładysz M., Śniady P., 2009, Spectral density of the bridge beam response with uncertain parameters under a random train of moving forces, Archives of Civil and Mechanical Engineering 9: 31-47.

[19] Bryja D., 2009, Stochastic response analysis of suspension bridge under gusty wind with time-dependent mean velocity, Archives of Civil and Mechanical Engineering 9: 15-38.

[20] Samani F.S., Pellicano F., 2009, Vibration reduction on beams subjected to moving loads using linear and nonlinear dynamic absorbers, Journal of Sound and Vibration 325: 742-754.

[21] Stncioiu D., Ouyang H., Mottershead J.E., 2008, Dynamics of a beam and a moving two-axle system with separation, Proceedings of the IMechE, Part C: Journal of Mechanical Engineering Science 222(10): 1947-1956.

[22] Lou P., Dai G.-L., Zeng, Q.-Y, 2006, Finite-element analysis for a Timoshenko beam subjected to a moving mass, Proceedings ofthe IMechE, Part C: Journal of Mechanical Engineering Science 220(5): 669-678.