Abstract
The geometrically non-linear vibration of thin, laminated composite plates is studied by the hierarchical finite element and the harmonic balance methods. Free and steady-state forced vibration are analysed. The excitations considered are harmonic plane waves at both normal and grazing incidence. The equations of motion are solved by a continuation procedure and the stability of the steady-state solutions is investigated by applying Floquet’s theory. The convergence properties of the hierarchical finite element method and the influence of the middle plane in-plane displacements are discussed, and results are compared with published results.
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