Sr. Rao et al., LARGE-AMPLITUDE FINITE-ELEMENT FLEXURAL VIBRATION OF PLATES STIFFENEDPLATES, The Journal of the Acoustical Society of America, 93(6), 1993, pp. 3250-3257
Large-amplitude free flexural vibration of stiffened and unstiffened p
lates has been studied by using the finite element method. An isoparam
etric quadratic plate-bending element has been used both for the plate
and the stiffener. The dynamic version of von Karman's field equation
s has been adopted and the formulation has been done in the total Lagr
angian coordinate system. The in-plane deformation and inertia have be
en taken into account. The resulting nonlinear equations have been sol
ved by the direct iteration technique using a linear mode shape as the
starting vector. The stiffener has been elegantly modeled so that it
can be placed anywhere within the plate element and it need not follow
the nodal lines. This has increased the flexibility of the mesh gener
ation considerably. The arbitrary orientation and eccentricity of the
stiffener have been incorporated in the formulation. The shear deforma
tion has been incorporated according to Mindlin's hypothesis. Stiffene
d and unstiffened plates that have various boundary conditions have be
en analyzed and the results have been compared with those available in
the literature.