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Vibration and Buckling Of Composite Beams with Partial Shear Interactions Using HBT

A. Chakrabarti 1, A. H. Sheikh 2, M. Griffith 2, and D. J. Oehlers 2
1. Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, India
2. School of Civil, Environment and Mining Engineering, University of Adelaide, North Terrace, Adelaide, SA 5005, Australia

Abstract—Free vibration and buckling analysis are presented for composite beams with partial using a finite element model developed by the authors based on a higher order beam theory (HBT). The proposed model takes into account the effect of partial shear interaction between the adjacent layers as well as transverse shear deformation of the beam. A third order variation of the axial displacement of the fibres over the beam depth is taken to have a parabolic variation of shear stress which is also made zero at the beam top and bottom surfaces. In the proposed FE model, there is no need of incorporating any shear correction factor and the model is free from shear locking problem. The proposed finite element model is validated by comparing the results with those available in literature. Many new results are presented as there is no published result on vibration and buckling of composite beams based on higher order beam theory.

Index Terms—Composite beam, Partial shear interaction, Higher order beam theory, Finite element, Vibration, Buckling

Cite: A. Chakrabarti, A. H. Sheikh, M. Griffith, and D. J. Oehlers, "Vibration and Buckling Of Composite Beams with Partial Shear Interactions Using HBT," International Journal of Structural and Civil Engineering Research, Vol. 1, No. 1, pp. 24-42, November 2012.