K. Suzuki et al., FREE-VIBRATIONS OF LAMINATED COMPOSITE NONCIRCULAR THICK CYLINDRICAL-SHELLS, International journal of solids and structures, 33(27), 1996, pp. 4079-4100
An exact solution procedure is presented for analyzing free vibrations
of laminated composite, noncircular thick cylindrical shells. Based o
n the thick lamination theory considering the shear deformation and ro
tary inertia, equations of motion and boundary conditions are obtained
from the stationary conditions of the Lagrangian (Hamilton's principl
e). The equations of motion are solved exactly by using power series e
xpansions for the displacements and rotations of symmetrically laminat
ed, cross-ply shells having both ends freely supported. Frequencies ar
e presented for a set of elliptical cylindrical shells having various
laminae stacking sequences. The effects of shear deformation and rotar
y inertia are discussed by comparing the results from the present theo
ry with those from the classical laminated shell theory (thin laminate
d shell theory). Copyright (C) 1996 Elsevier Science Ltd