Implementation of a Vibration Absorbers to Euler-Bernoulli Beam and Dynamic Analysis of Moving Car

Year 2020, Volume: 8 Issue: 3, 523 - 532, 30.09.2020

Mehmet Akif Koç

Abstract

In this study, the dynamic analysis of Euler-Bernoulli bridge beam, single-degree of freedom moving vehicle and vibration absorber is discussed according to vehicle and bridge dynamics. The equations of motion entire system representing the physical model of the system are obtained using the Lagrange function. Then the vibration equation of vehicle and bridge beam which attached vibration absorber has been solved numerically with a special program written in computer software. The effect of the basic parameters such as frequency (fi), damping (c) coefficient, mass (m), mass ratio (α) and location of the vibration absorber on the bridge are examined in detail in terms of vehicle and bridge dynamics.

Keywords

Vibration absorbers, Moving Car, Mass ratio, Absorber Location

References

• [1] Y.B. Yang, J.D. Yau, Resonance of high-speed trains moving over a series of simple or continuous beams with non-ballasted tracks, Eng. Struct. 143 (2017) 295–305. doi:10.1016/j.engstruct.2017.04.022.
• [2] M.A. Koç, İ. Esen, H. Dal, Analysis of vehicle bridge dynamic interaction using quarter car model, in: 1st Int. Conf. Engeneering Technol. Appl. Sci., Afyon, 2016: pp. 270–275.
• [3] K. Liu, G. De Roeck, G. Lombaert, The effect of dynamic train-bridge interaction on the bridge response during a train passage, J. Sound Vib. (2009). doi:10.1016/j.jsv.2009.03.021.
• [4] C.I. Bajer, B. Dyniewicz, Numerical Analysis of Vibrations of Structures under Moving Inertial Load, Springer, New York, 2012. doi:10.1007/ 978-3-642-29548-5.
• [5] T.P. Chang, G.L. Lin, E. Chang, Vibration analysis of a beam with an internal hinge subjected to a random moving oscillator, Int. J. Solids Struct. 43 (2006) 6398–6412. doi:10.1016/j.ijsolstr.2005.10.013.
• [6] H.P. Lee, Transverse vibration of a Timoshenko beam acted on by an accelerating mass, Appl. Acoust. 47 (1996) 319–330. doi:10.1016/0003-682X(95)00067-J.
• [7] H. Azimi, K. Galal, O.A. Pekau, A modified numerical VBI element for vehicles with constant velocity including road irregularities, Eng. Struct. 33 (2011) 2212–2220. doi:10.1016/j.engstruct.2011.03.012.
• [8] S.Q. Wu, S.S. Law, Vehicle axle load identification on bridge deck with irregular road surface profile, Eng. Struct. 33 (2011) 591–601. doi:10.1016/j.engstruct.2010.11.017.
• [9] I. Esen, Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation, Math. Comput. Appl. 16 (2011) 171–182.
• [10] İ. Esen, M.A. Koç, Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions, Lat. Am. J. Solids Struct. 12 (2015) 1462–1486.
• [11] C. Mızrak, İ. Esen, Determining Effects of Wagon Mass and Vehicle Velocity on Vertical Vibrations of a Rail Vehicle Moving with a Constant Acceleration on a Bridge Using Experimental and Numerical Methods, Shock Vib. 2015 (2015) 1–15. doi:10.1155/2015/183450.
• [12] Y.L. Cheung, W.O. Wong, H∞ and H2 optimizations of a dynamic vibration absorber for suppressing vibrations in plates, J. Sound Vib. 320 (2009) 29–42. doi:10.1016/j.jsv.2008.07.024.
• [13] M.A. Koç, İ. Esen, Modelling and analysis of vehicle-structure-road coupled interaction considering structural flexibility , vehicle parameters and road roughness †, J. Mech. Sci. Technol. 31 (2017) 1–18. doi:10.1007/s12206-017-0913-y.
• [14] M.A. Koç, Ese, Influence of Train Mass on Vertical Vibration Behaviour of Railway Vehicle and Bridge Structure, in: 3rd Int. Symp. Railw. Syst. Eng., Karabük, 2016: pp. 184–189.
• [15] İ. Koc, Mehmet Akif; Esen, The Effect of the Flexibility of a Bridge on the Passenger Comfort of a Travelling Vehicle Including Road Roughness, in: ISITES 2015, valencia, 2015: pp. 2206–2215.
• [16] M.A. Koç, İ. Esen, Y. Çay, Ö. Çerlek, M. Asım, H. Dal, M. Eroğlu, Vibration Suppression of Vehicle-Bridge-Interaction System using Multiple Tuned Mass Dampers, in: 5th Int. Symp. Innov. Technol. Eng. Sci., 2017: pp. 1–8.