Loading...

A continuous vibration theory for rotors with an open edge crack

Ebrahimi, A ; Sharif University of Technology

939 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.jsv.2014.03.012
  3. Abstract:
  4. In this paper a new continuous model for flexural vibration of rotors with an open edge crack has been developed. The cracked rotor is considered in the rotating coordinate system attached to it. Therefore, the rotor bending can be decomposed in two perpendicular directions. Two quasi-linear displacement fields are assumed for these two directions and the strain and stress fields are calculated in each direction. Then the final displacement and stress fields are obtained by composing the displacement and stress fields in the two directions. The governing equation of motion for the rotor has been obtained using the Hamilton principle and solved using a modified Galerkin method. The free vibration has been analyzed and the critical speeds have been calculated. Results are compared with the finite element results and an excellent agreement is observed
  5. Keywords:
  6. Cracks ; Stresses ; Galerkin methods ; Equations of motion ; Continuous modeling ; Modified galerkin method ; Strain and stress ; Rotating coordinate system ; Hamilton principle ; Displacement and stress fields ; Flexural vibrations ; Governing equations ; Vibration analysis
  7. Source: Journal of Sound and Vibration ; Volume 333, Issue 15 , 21 July 2014 , Pages 3522–3535
  8. URL: http://www.sciencedirect.com/science/article/pii/S0022460X14001928