Modal analysis of the dynamic response of Timoshenko beam under moving mass

Roshandel, D ; Sharif University of Technology | 2015

387 Viewed
  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2015
  3. Abstract:
  4. In this study, the dynamic response of a Timoshenko beam under moving mass is investigated. To this end, vectorial form orthogonality property of the Timoshenko beam free vibration modes is applied to the EEM (Eigenfunction Expansion Method). The implication of the vectorial form series and an appropriate inner product of mode shapes in combination are focused for a beam with arbitrary boundary conditions. Consequently, significant simplifications and efficacy in the utilization of the EEM in eliminating the spatial domain is achieved. In order to comprise validation, the present study is compared with the DET (Discrete Element Technique) and the RKPM (Reproducing Kernel Particle Method)
  5. Keywords:
  6. Boundary conditions ; Eigenfunction expansion method ; Vectorial form of orthogonality ; Boundary conditions ; Boundary value problems ; Dynamic response ; Eigenvalues and eigenfunctions ; Modal analysis ; Arbitrary boundary conditions ; Discrete element technique ; Moving mass ; Orthogonality ; Orthogonality properties ; Reproducing kernel particle method ; Timoshenko beams ; Particle beams ; Mass movement ; Numerical method
  7. Source: Scientia Iranica ; Volume 22, Issue 2 , 2015 , Pages 331-344 ; 10263098 (ISSN)
  8. URL: http://www.scientiairanica.com/en/ManuscriptDetail?mid=1758