ON THE DYNAMIC RESPONSE OF BEAMS SUBJECTED TO NON-UNIFORM DISTRIBUTED MOVING MASSES

J. A. Gbadeyan (Nigeria) and M. S. Dada (Nigeria)

Received March 20, 2008

References:

[1] Y. A. Dugush and M. Eisenberger, Vibration of non-uniform continuous beams under moving loads, J. Sound Vibration 354(5) (2002), 911-926. [2] E. Esmailzadeh and M. Ghorashi, Vibration analysis of beams traversed by uniform partially distributed moving masses, J. Sound Vibration 184(1) (1995), 9-17. [3] E. Esmailzadeh and M. Ghorashi, Vibration analysis of Timoshenko beams subjected to a travelling mass, J. Sound Vibration 199(4) (1997), 615-628. [4] L. Fryba, Vibration of Solids and Structures under Moving Loads, Noordhoff International Publishing, Groninggen, 1972. [5] J. A. Gbadeyan and M. S. Dada, The dynamic response of plates on Pasternak foundation to distributed moving load, J. Nigerian Assoc. Math. Phys. 5 (2001), 186-200. [6] J. A. Gbadeyan and M. S. Dada, Dynamic response of a Mindlin Elastic Rectangular Plate under a distributed moving mass, Inter. J. Mech. Sci. 48 (2006), 323-340. [7] J. A. Gbadeyan and M. S. Dada, The effects of linearly varying distributed moving loads on beams, J. Eng. Appl. Sci. 2(6) (2007), 1006-011. [8] J. A. Gbadeyan and S. T. Oni, Dynamic behaviour of beams and rectangular plates under moving loads, J. Sound Vibration 182(2) (1995), 677-695. [9] J. A. Gbadeyan and S. T. Oni, Dynamic response to the moving concentrated masses of elastic plate on a non-winkler elastic foundation, J. Sound Vibration 154(2) (1992), 343-358. [10] V. Kolousek, Dynamic of Civil Engineering Structures Part I, General Problems, 2nd ed., SNTL, Prague, 1967. [11] M. A. Mahmoud, M. A. Abou Zaid, Dynamic response of a beam with a crack subject to a moving mass, J. Sound Vibration 250(4) (2002), 291-603. [12] G. T. Michaltsos, Dynamic behaviour of a single-span beam subjected to loads moving with variable speeds, J. Sound Vibration 258(2) (2002), 359-372. [13] G. T. Michaltsos and A. N. Kounadis, The effect of Centripetal and Coriolis Forces on the dynamic response of light bridges under moving loads, J. Vibration Control 7 (2001), 315-326. [14] W. D. Pilkey and O. H. Pilkey, Mechanics of Solids, Quantum Publishers, Inc., New York, 1974. [15] S. Sadiku and H. H. E. Leipholz, On the dynamic of elastic system with moving concentrated masses, Ingenieur-Archiv 57 (1987), 229-242. [16] J. W. Smith, Vibration of Structures, Application in Civil Engineering Design, Chapman and Hall Ltd., London, 1973. [17] X. Xu, W. Xu and J. Genin, A nonlinear moving mass proplem, J. Sound Vibration 204(3) (1997), 495-504.

Keywords and phrases: dynamic behavior of thin beams, linearly distributed moving mass, designing load-carrying structures.