Dynamic analysis of laminated composite beams using higher order theories and finite elements

By P. Subramanian. 2006

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Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions (2014, unknown): “For instance, Subramanian [14] presented two different 1D finite elements (FEs) for laminated beams, in which the odd powers of the z-coordinate (until the 5th order) were used for expanding the axial displacement and the even powers were used for the transverse displacement (until the 4th order).”
Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials (2015, unknown): “A closed-form solution for the detection cross-section warping phenomena has been proposed in [11], whereas two different 1D FE elements were presented in [12], with enriched axial and transverse displacement fields.”
A REFINED SINE-BASED FINITE ELEMENT WITH TRANSVERSE NORMAL DEFORMATION FOR THE ANALYSIS OF LAMINATED BEAMS UNDER THERMOMECHANICAL LOADS (2009, methodology): “A nonconstant polynomial expression for the out-of-plane displacement is considered in [Kant et al. 1997; Cook and Tessler 1998; Barut et al. 2001; Kant and Swaminathan 2002; Matsunaga 2002; Rao and Desai 2004; Subramanian 2006; Swaminathan and Patil 2007] with a higher-order theory.”