On the resolution of existing discontinuities in the dynamic responses of an Euler-Bernoulli beam subjected to the moving mass

Kargarnovin, M. H ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1115/esda2006-95264
  3. Publisher: American Society of Mechanical Engineers , 2006
  4. Abstract:
  5. The dynamic response of a one-dimensional distributed parameter system subjected to a moving mass with constant speed is investigated. An Euler-Bernoulli beam with the uniform cross-section and finite length with specified boundary support conditions is assumed. In this paper, rather a new method based on the time dependent series expansion for calculating the bending moment and the shear force due to motion of the mass is suggested. Governing differential equations of the motion are derived and solved. The accuracy of the numerical results primarily is verified and further the rapid convergence of this new technique was illustrated over other existing methods. Finally, it is shown that a considerable improvement is obtained in capturing the incurred discontinuities at the contact point of traveling concentrated mass. Copyright © 2006 by ASME
  6. Keywords:
  7. Bending moments ; Boundary conditions ; Differential equations ; Numerical analysis ; Problem solving ; Shear flow ; Time series analysis ; Euler Bernoulli beam ; Moving mass ; Shear force ; Dynamic response
  8. Source: 8th Biennial ASME Conference on Engineering Systems Design and Analysis, ESDA2006, Torino, 4 July 2006 through 7 July 2006 ; Volume 2006 , 2006 ; 0791837793 (ISBN); 9780791837795 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/ESDA/proceedings-abstract/ESDA2006/42509/185/317542