Research ArticleOpen AccessGoogle Scholar indexed
The Response of Viscously Damped Euler-Bernoulli Beam to Uniform Partially Distributed Moving Loads
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria
- 1 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria
Copy link · social · email
Abstract
The paper investigates the response of non-initially stressed Euler-Bernoulli beam to uniform partially distributed moving loads. The governing partial differential equations were analyzed for both moving force and moving mass problem in order to determine the behaviour of the system under consideration. The analytical method in terms of series solution and numerical method were used for the governing equation. The effect of various beam observed that the response amplitude due to the moving force is greater than that due to moving mass. It was also found that the response amplitude of the moving force problem with non-initial stress increase as mass of the mass of the load M increases.
KeywordsViscously DampedEuler-Bernoulli BeamUniform Partially Distributed and Moving Loads
- A. O. Cifuentes and S. Lalapet, “A General Method to Determine the Dynamic Response of a Plate to a Moving Mass,” Computers and Structures, Vol. 42, No. 1, 1992, pp 31-36.
- R. Willis, “Preliminary Essay to the Appendix B: Experiment for Determining the Effects Produced by Causing Weight to Travel Over Bus with Difference Velocities,” 1951.
- D. M. Yoshida, “Finite Element Analysis of Beams with Moving Loads,” Publication of Internal Association Bridge and Structured Engineering, Vol. 31, No. 1, 1971, pp. 179-195.
- A. N. Krylov, Mathematical Collection of Paper of the Academy of Sciences, Vol. 61, Petersburg, 1995.
- E. Esmailzadeh and M. Gorashi, “Vibrations Analysis of the Beams Traversed by Uniform Partially Distributed Moving Masses,” Journal of Sound and Vibration, Vol. 184, No. 5, 1995, pp. 9-17.
- J. J. Kalker, “Discretely Supported Rails Subjected to Transient Loads,” Vehicle System Dynamics, Vol. 25, No. 1, 1996, pp 71-88.
- H. H. Jeffcott, “On the Vibrations of the Beams under the Action of Moving Loads,” Philosophical Magazine, Series 7, Vol. 48, 2000, pp. 66-67.
- H. P. Lee, “Dynamic Response of a Beam with Intermediate Point Constraints Subject to a Moving Load,” Journal of Sound and Vibration, Vol. 1, No. 71, 1994, pp. 361-368.
- E. Esmailzadeh and M. Gorashi, “Vibrations Analysis of the Beams Traversed by Moving Masses,” Proceedings of the International Conference on Engineering Application of Mechanics, Tehran, Vol. 2, 9-12 June 1992, pp. 232238.
- S. Timoshenko, “On the Transverse Vibration of Bars of Uniform Cross Section,” Philosophical Magazine, Series 6, Vol. 43, 2000, pp. 125-131.
- L. Fryba, “Vibration of Solids and Structures under Moving Loads,” Groningen, Noordhoff International Publishing, Groningen, Vol. 1-2, No. 1-5, 1972, pp. 452-457.
- J. A. Gbadeyan and S. T. Oni, “Dynamic Behaviour of Beams on Rectangular Plate under Moving Load,” Journal of Sound and Vibration, Vol. 182, No. 5, 1995, pp. 677-695.
- Y. H. Lin, “Vibrations Analysis of the Beams Traversed by Uniform Partially Distributed Moving Masses,” Journal of Sound and Vibration, Vol. 199, No. 4, 1995, pp. 697-700.
- I. A. Adetunde, F. O. Akinpelu and J. A. Gbadeyan, “Dynamics Analysis of Non-Prestressed Rayleigh Beams Carrying an Attached Mass and Traversed by Uniform Partially Distributed Moving Load,” Journal of Engineering and Applied Sciences, Vol. 2, No. 2, 2007, pp. 445-455.