Flexural-torsional coupled vibration analysis of a thin-walled closed section composite timoshenko beam by using the differential transform method


Kaya M. O. , Özdemir Ö.

7th International Conference on Vibration Problems (ICOVP 2005), İstanbul, Turkey, 5 - 09 September 2005, vol.111, pp.279-280 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 111
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.279-280

Abstract

In this study, a new mathematical technique called the Differential Transform Method (DTM) is introduced to analyse the free undamped vibration of an axially loaded, thin-walled closed section composite Timoshenko beam including material coupling between the bending and torsional modes of deformation, which is usually present in laminated composite beams due to ply orientation. The partial differential equations of motion are derived applying the Hamilton's principle and solved using DTM. Natural frequencies are calculated, related graphics and the mode shapes are plotted.