Shear Deformation Effect In The Dynamic
Analysis Of Plates Stiffened By Parallel Beams
Author(s)
E. J. Sapountzakis & V. G. Mokos
Abstract
In this paper a general solution for the dynamic analysis of shear deformable
stiffened plates subjected to arbitrary loading is presented. According to the
proposed model, the stiffening beams are isolated from the plate by sections in
the lower outer surface of the plate, taking into account the arising tractions in all
directions at the fictitious interfaces. These tractions are integrated with respect
to each half of the interface width resulting two interface lines, along which the
loading of the beams as well as the additional loading of the plate is defined.
Their unknown distribution is established by applying continuity conditions in
all directions at the interfaces. The utilization of two interface lines for each
beam enables the nonuniform distribution of the interface transverse shear forces
and the nonuniform torsional response of the beams to be taken into account.
The analysis of both the plate and the beams is accomplished on their deformed
shape taking into account second-order effects. The analysis of the plate is based
on Reissner’s theory, while the analysis of the beams is based on Timoshenko’s
beam theory. Six boundary value problems are formulated and solved using the
Analog Equation Method (AEM), a BEM based method.
Keywords: ribbed plate, Reissner’s theory, Timoshenko’s beam theory, dynamic
analysis, boundary element method.
1 Introduction
Structural plate systems stiffened by beams are widely used in buildings, bridges,
ships, aircrafts and machines. Moreover, for cases wherein the plate or the beams
are not very \“thin” or the stiffeners are closely spaced, the error incurred from
the ignorance of the effect of shear deformation may be substantial, while the
Keywords
ribbed plate, Reissner’s theory, Timoshenko’s beam theory, dynamic
analysis, boundary element method.
Related Book
Other papers in this volume
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