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Vibration and frequency analysis of non-uniform Timoshenko beams subjected to axial forces

Ohadi, A. R ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2003-43001
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2003
  4. Abstract:
  5. Dynamic and stability analysis of non-uniform Timoshenko beam under axial loads is carried out. In the first case of study, the axial force is assumed to be perpendicular to the shear force, while for the second case the axial force is tangent to the axis of the beam column. For each case, a pair of differential equations coupled in terms of the flexural displacement and the angle of rotation due to bending was obtained. The parameters of the frequency equation were determined for various boundary conditions. Several illustrative examples of uniform and non-uniform beams with different boundary conditions such as clamped supported, elastically supported, and free end mass have been presented. The stability analysis, for the variation of the natural frequencies of the uniform and non-uniform beams with the axial force, has also been investigated
  6. Keywords:
  7. Automotive engineering ; Vibrations (mechanical) ; Shear deformation ; Rotation ; Ordinary differential equations ; Mathematical models ; Interpolation ; Boundary conditions ; Elasticity
  8. Source: 2003 ASME International Mechanical Engineering Congress, Washington, DC, 15 November 2003 through 21 November 2003 ; Volume 116, Issue 2 , 2003 , Pages 1057-1064 ; 15214613 (ISSN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2003/37122/1057/301878