[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/csm.2020.9.4.311

Effective mode shapes of multi-storey frames subjected to moving train loads

Demirtas, Salih (Department of Mechanical Engineering, Dokuz Eylul University)
Ozturk, Hasan (Department of Mechanical Engineering, Dokuz Eylul University)

Publication Information

Coupled systems mechanics / v.9, no.4, 2020 , pp. 311-323 More about this Journal

Abstract

This paper deals with the effect of the mode shapes on the dynamic response of a multi-storey frame subjected to moving train loads which are modelled as loads of constant intervals with constant velocity using the finite element method. The multi-storey frame is modelled as a number of Bernoulli-Euler beam elements. First, the first few modes of the multi-storey frame are determined. Then, the effects of force span length to beam length ratio and velocity on dynamic magnification factor (DMF) are evaluated via 3D velocity-force span length to beam length ratio-DMF graphics and its 2D projections. By using 3D and 2D graphics, the directions of critical speeds that force the structure under resonance conditions are determined. Last, the mode shapes related to these directions are determined by the time history and frequency response graphs. This study has been limited by the vibration of the frame in the vertical direction.

Keywords

multi-storey frame; moving force; the finite element method; dynamic magnification factor; mode shape;

Citations & Related Records

Reference

1	Bathe, K.J. (1996), Finite Element Procedures, Prentice Hall, New Jersey, USA.
2	Fu, C. (2015), "The effect of switching cracks on the vibration of a continuous beam bridge subjected to moving vehicles", J. Sound Vib., 339, 157-175. https://doi.org/10.1016/j.jsv.2014.11.009. DOI
3	Kiral, Z. and Kiral, B.G. (2007), "Dynamic analysis of a symmetric laminated composite beam subjected to a moving load with constant velocity", J. Reinf. Plast. Compos., 27(1), 19-32. https://doi.org/10.1177/0731684407079492. DOI
4	Koziol, P. (2016), "Experimental validation of wavelet based solution for dynamic response of railway track subjected to a moving train", Mech. Syst. Signal Pr., 79, 174-181. https://doi.org/10.1016/j.ymssp.2016.02.058. DOI
5	Meirovitch, L. (1986), Elements of Vibration Analysis, McGraw-Hill, New York, USA.
6	Mohebpour, S.R., Vaghefi, M. and Ezzati, M. (2016), "Numerical analysis of an inclined cross-ply laminated composite beam subjected to moving mass with consideration the Coriolis and centrifugal forces", Eur. J. Mech., A/Solid., 59, 67-75. https://doi.org/10.1016/j.euromechsol.2016.03.003. DOI
7	Ozturk, H., Yashar, A. and Sabuncu, M. (2015), "Dynamic stability of cracked multi-bay frame structures", Mech. Adv. Mater. Struct., 23(6), 715-726. https://doi.org/10.1080/15376494.2015.1029160. DOI
8	Thambiratnam, D. and Zhuge, Y. (1996), "Dynamic analysis of beams on an elastic foundation subjected to moving loads", J. Sound Vib., 198(2), 149-169. https://doi.org/10.1006/jsvi.1996.0562. DOI
9	Song, Y., Kim, T. and Lee, U. (2016), "Vibration of a beam subjected to a moving force: Frequency-domain spectral element modeling and analysis", Int. J. Mech. Sci., 113, 162-174. https://doi.org/10.1016/j.ijmecsci.2016.04.020. DOI
10	Svedholm, C., Zangeneh, A., Pacoste, C., Francois, S. and Karoumi, R. (2016), "Vibration of damped uniform beams with general end conditions under moving loads", Eng. Struct., 126, 40-52. https://doi.org/10.1016/j.engstruct.2016.07.037. DOI
11	Wu, J.J., Whittaker, A. and Cartmell, M. (2000), "The use of finite element techniques for calculating the dynamic response of structures to moving loads", Comput. Struct., 78(6), 789-799. https://doi.org/http://dx.doi.org/10.1016/S0045-7949(00)00055-9. DOI
12	Zrnic, N.D., Gasic, V.M. and Bosnjak, S.M. (2015), "Dynamic responses of a gantry crane system due to a moving body considered as moving oscillator", Arch. Civil Mech. Eng., 15(1), 243-250. https://doi.org/10.1016/j.acme.2014.02.002. DOI
13	Wu, J.J., Whittaker, A. and Cartmell, M. (2001), "Dynamic responses of structures to moving bodies using combined finite element and analytical methods", Int. J. Mech. Sci., 43, 2555-2579. https://doi.org/10.1016/S0020-7403(01)00054-6. DOI
14	Yang, Y.B., Yau, J.D. and Hsu, L.C. (1997), "Vibration of simple beams due to trains moving at high speeds", Eng. Struct., 19(11), 936-944. https://doi.org/http://dx.doi.org/10.1016/S0141-0296(97)00001-1.fdxf. DOI
15	Yang, Y.B., Lin, C.L., Yau, J.D. and Chang, D.W. (2004), "Mechanism of resonance and cancellation for train-induced vibrations on bridges with elastic bearings", J. Sound Vib., 269, 345-360. https://doi.org/10.1016/S0022-460X(03)00123-8. DOI