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.
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References
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Kaya, M.O., Özdemir, Ö. (2006). FLEXURAL-TORSIONAL COUPLED VIBRATION ANALYSIS OF A THIN-WALLED CLOSED SECTION COMPOSITE TIMOSHENKO BEAM BY USING THE DIFFERENTIAL TRANSFORM METHOD. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_40
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DOI: https://doi.org/10.1007/978-1-4020-5401-3_40
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5400-6
Online ISBN: 978-1-4020-5401-3
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