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Free vibration of axially loaded composite beams using a four-unknown shear and normal deformation theory

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journal contribution
posted on 08.12.2020, 05:26 by Thuc VoThuc Vo, Huu Thai, Metin Aydogdu
© 2017 Elsevier Ltd

This paper presents free vibration of composite beams under axial load using a four-unknown shear and normal deformation theory. The constitutive equation is reduced from the 3D stress-strain relations of orthotropic lamina. The governing differential equations of motion are derived using the Hamilton's principle. A two-node C1 beam element is developed by using a mixed interpolation with linear and Hermite-cubic polynomials for unknown variables. Numerical results are computed and compared with those available in the literature and commercial finite element software (ANSYS and ABAQUS). The comparison study illustrates the effects of normal strain, lay-ups and Poisson's ratio on the natural frequencies and load-frequency curves of composite beams.


Northumbria University


Publication Date



Composite Structures




9p. (p. 406-414)





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