This paper considers the damped small-amplitude free-vibration of composite laminated strips subject to large in-plane forces and rotations. A theoretical framework is formulated for the prediction of the nonlinear damping of composite laminates subject to large Green–Lagrange axial strains and assuming a Kelvin viscoelastic solid. An extended beam finite element is developed capable of providing the nonlinear stiffness and damping matrices of the system. The linearized damped free-vibration equations associated with the deflected strip shape in the pre- and postbuckling region are presented. Numerical results quantify the strong geometric nonlinear effect of compressive in-plane loads on the modal damping and frequencies of composite strips. Measurements of the modal damping of a cross-ply glass/epoxy beam subject to buckling were also conducted and correlate well with the finite element predictions.
Linearized Frequencies and Damping in Composite Laminated Beams Subject to Buckling
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received November 15, 2011; final manuscript received October 3, 2012; published online February 25, 2013. Assoc. Editor: Marco Amabili.
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Chortis, D. I., Varelis, D. S., and Saravanos, D. A. (February 25, 2013). "Linearized Frequencies and Damping in Composite Laminated Beams Subject to Buckling." ASME. J. Vib. Acoust. April 2013; 135(2): 021006. https://doi.org/10.1115/1.4023051
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