An Alternative Dynamic Fundamental Solution
For Plate Bending Including The Shear
Deformation Effect
Author(s)
L. Palermo Jr.
Abstract
The elastodynamic solution for plate bending including the shear deformation
effect is modified in the present study. A regular potential function at the source
point was adopted in the fundamental solution for the unit couple as the main
change with reference to the former solution. The use of regular functions does
not affect the switching of the solution including effects of shear deformation
and rotatory inertia to that for the classical model when variables related to them
are turned null. Furthermore, the present function in the vector potential field is
reduced to that employed in static analysis when the frequency value is zero. The
main benefit in the present formulation is the reduction in the number of points
employed in numerical integrations. Results obtained for the first natural
frequency are compared to available solutions in the literature to show the
behavior of the present formulation.
Keywords: harmonic solution, bending including the shear deformation effect,
the Mindlin bending model.
Keywords
harmonic solution, bending including the shear deformation effect,
the Mindlin bending model
Related Book
Other papers in this volume
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