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FLEXURAL-TORSIONAL COUPLED VIBRATION ANALYSIS OF A THIN-WALLED CLOSED SECTION COMPOSITE TIMOSHENKO BEAM BY USING THE DIFFERENTIAL TRANSFORM METHOD

  • Metin Orhan Kaya
  • Özge Özdemir
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

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.

Keywords

Mode Shape Axial Force Laminate Composite Beam Bend Torsion Coupling Normal Mode Shape 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Banerjee J. R. (1998) Free Vibration of Axially Loaded Composite Timoshenko Beams Using the Dynamic Stiffness Matrix Method, Computers and Structures 69 197–208.CrossRefGoogle Scholar
  2. Ho S. H., Chen C. K. (1998) Analysis of General Elastically End Restrained Non-Uniform Beams Using Differential Transform, Applied Mathematical Modeling 22 219–234.CrossRefGoogle Scholar
  3. Li J., Shen R., Hua H., Jin X. (2004) Bending-Torsional Coupled Vibration of Axially Loaded Composite Timoshenko Thin-Walled Beam With Closed Cross-Section, Composite Structures 64 23–35.CrossRefGoogle Scholar
  4. Ozdemir O., Kaya M. O. (2005) Flapwise Bending Vibration Analysis of a Rotating Tapered Cantilevered Bernoulli-Euler Beam by Differential Transform Method, Journal of Sound and Vibration (in press).Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Metin Orhan Kaya
    • 1
  • Özge Özdemir
    • 1
  1. 1.Faculty of Aeronautics and Astronauticsİstanbul Technical UniversityMaslak, İstanbulTurkey

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