https://imechanica.org/files/Exact%20characteristic%20equations%20for%20some%20of%20classical%20boundary%20conditions%20of%20vibrating%20moderately%20thick%20rectangular%20plates.pdf

Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates

A generalized global-local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads

A finite element method for free vibration characteristics of rotating laminated composite pretwisted cantilever plates is presented. A nine noded three-dimensional degenerated composite shell elem...

Finite Element Free Vibration Analysis of Rotating Laminated Composite Pretwisted Cantilever Plates

The theory accounts for geometric nonlinearity in the form of the Von Karman strains and the effects of rotatory inertia. The plate is permitted to have an arbitrary orientation offset from the axis of rotation. A finite element model is developed. The mode shapes as functions of angular velocity, pitch angle, and sweep angle are presented.

Free vibration behavior of spinning shear-deformable plates composedof composite materials

In this paper a finite element method is presented to study the effects of delamination on free vibration characteristics of graphite-epoxy composite pretwisted rotating shells. Lagrange’s equation of motion is used to derive the dynamic equilibrium equation and moderate rotational speeds are considered wherein the Coriolis effect is negligible. An eight noded isoparametric plate bending element is employed in the formulation incorporating rotary inertia and effects of transverse shear deformation based on Mindlin’s theory. To satisfy the compatibility of deformation and equilibrium of resultant forces and moments at the delamination crack front, a multipoint constraint algorithm is incorporated which leads to unsymmetric stiffness matrices. Parametric studies are performed in respect of location of delamination, fibre orientation, rotational speed and twist angle on natural frequencies of cylindrical shallow shells. Numerical results obtained for symmetric and unsymmetric laminates are the first known non-dimensional frequencies for the analyses carried out here.

K.Y. Shen

Papers

Flexural vibration of rotating rectangular plates of variable thickness