An Alternative Dynamic Fundamental Solution For Plate Bending Including The Shear Deformation Effect
Free (open access)
145 - 154
L. Palermo Jr.
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.
harmonic solution, bending including the shear deformation effect, the Mindlin bending model