In their paper [1], Kim and Wang presented the vibration analysis of composite beams by using a finite element-based formal asymptotic expansion method. After a detailed mathematical treatment of the formal asymptotic method-based beam analysis (FAMBA), they considered various examples of composite beams with solid and closed thin-walled cross sections for verification purposes and the numerical results were compared with those from 3D FEM and other methods, such as the variational-asymptotic beam section analysis (VABS) [2].

One particular case, the 15 deg CUS thin-walled composite box beam (whose ply material properties are listed in Table 3 of [1]), was analyzed with VABS by taking the stiffness model given in [2] and applying it to a typical Rankine–Timoshenko beam model. The normalized first and second eigenvalues computed by 3D FEM, FAMBA, VABS, etc. were plotted against the beam...

References

References
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Kim
,
J.-S.
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Wang
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K. W.
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2010
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Vibration Analysis of Composite Beams With End Effects Via the Formal Asymptotic Method
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132
(4), p.
041003
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Yu
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W.
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Hodges
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D. H.
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Volovoi
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V. V.
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Cesnik
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C. E. S.
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2002
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On Timoshenko-Like Modeling of Initially Curved and Twisted Composite Beams
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Yu
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W.
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Hodges
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D. H.
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Ho
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J. C.
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2012
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Variational Asymptotic Beam Sectional Analysis—An Updated Version
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59
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