Nonlinear Vibration of Moderately Thick Laminated Beams Using Finite Element Method
A finite element model is developed to study the large-amplitude free vibrations of generally-layered laminated composite beams. The Poisson effect, which is often neglected, is included in the laminated beam constitutive equation. The large deformation is accounted for by using von Karman strains and the transverse shear deformation is incorporated using a higher order theory. The beam element has eight degrees of freedom with the inplane displacement, transverse displacement, bending slope and bending rotation as the variables at each node. The direct iteration method is used to solve the nonlinear equations which are evaluated at the point of reversal of motion. The influence of boundary conditions, beam geometries, Poisson effect, and ply orientations on the nonlinear frequencies and mode shapes are demonstrated.
K. M. Bangera and K. Chandrashekhara, "Nonlinear Vibration of Moderately Thick Laminated Beams Using Finite Element Method," Finite Elements in Analysis and Design, Elsevier, Jan 1991.
The definitive version is available at https://doi.org/10.1016/0168-874X(91)90005-J
Mechanical and Aerospace Engineering
Article - Journal
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