Loading...

Dynamic Analysis of an Inclined Functionally Graded Timoshenko Beam on Viscoelastic Foundation under Moving Mass

Mirzaie, Vahid | 2014

1122 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 52134 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Firouzbazsh, Keykhosrow; Asghari, Mohsen
  7. Abstract:
  8. In this study, the linear dynamic response of an inclined FGM Timoshenko beam on linear viscoelastic foundation subjected to a traveling mass with constant and variable velocity is investigated. Timoshenko beam theory and von-karman strain-displacement relations are utilized to model the problem. the FGM beam is made of metal and ceramic and it is assumed that material properties of the beam vary continuously in the thickness direction according to the exponential law and the power-law form. The kelvin-voigt damping model is applied to model the internal damping of the FGM beam. The partial differential equations of motion for the bending rotation of cross-section, longitudinal and transverse displacements are derived using Hamilton’s principle. These PDEs are solved by applying Galerkin’s mode summation method to obtain dynamic response of the beam under the act of a moving mass. The appropriate parametric studies by taking into account the effects of the magnitude of the traveling mass, the velocity of the traveling mass with a constant velocity and constant acceleration/deceleration and the effects of the different material distribution are carried out
  9. Keywords:
  10. Inclined Beam ; Timoshenko Beams ; Viscoelastic Foundation ; Functionally Graded Materials (FGM) ; Traveling Mass ; Galerkin Method

 Digital Object List

 Bookmark