Journal of Modern Mathematics and Statistics
ISSN: OnlineISSN: Print 1994-5388
Abstract
The dynamic response of an elastically supported Bernoulli-Euler beam carrying moving masses and resting on a constant elastic foundation is investigated in this study. This problem, involving non-classical boundary conditions is solved and illustrated with 2 commonest examples often encountered in Engineering practice. Analysis of the closed form solutions shows that, for the same natural frequency the response amplitude for the moving mass problem is greater than that of the moving force problem for fixed axial force and foundation modulli, The critical speed for the moving mass problem is smaller than that for the moving force problem and so resonance is reached earlier in the former. Similarly, an increase in the value of foundation modulli and axial force reduces the critical speed for both illustrative examples. The response amplitudes of both moving force and moving mass problems was also found to decrease when both the foundation moduli K and the axial force N are increased.
How to cite this article:
S.T. Oni and T.O. Awodola . Dynamic Bhaviour Under Moving Concentrated Masses of Elastically Supported Finite Bernoulli-Euler Beam on Winkler Foundation.
DOI: https://doi.org/10.36478/jmmstat.2008.134.145
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2008.134.145