Cs. Xu et Cy. Chia, LARGE-AMPLITUDE VIBRATIONS OF UNSYMMETRICALLY LAMINATED IMPERFECT THICK CIRCULAR PLATES ON AN ELASTIC-FOUNDATION, Composites science and technology, 49(2), 1993, pp. 131-137
A previous non-linear shear-deformable theory for the axisymmetric def
ormation of an unsymmetrically laminated circular plate composed of cy
lindrically orthotropic layers is adopted. Effects of transverse shear
, rotatory inertia, geometric initial imperfection and Winkler, Paster
nak and non-linear Winkler models of elastic foundations are included
in the analysis. Equations of motion are expressed in terms of the tra
nsverse displacement, rotation and stress function. The plate edge is
assumed to be elastically restrained against rotation. The Fourier-Bes
sel series is used for a multi-mode solution to these equations. Numer
ical results for non-linear fundamental free vibrations of the plate a
re presented for various boundary conditions, radius-to-thickness rati
os and geometric imperfections. Present results are also compared with
available data.