WIT Press


On The Harmonic Solution For Plate Bending: Considering The Effects Of Shear Deformation And Forces In The Middle Plane

Price

Free (open access)

Paper DOI

10.2495/BE370201

Volume

57

Pages

10

Page Range

241 - 250

Published

2014

Size

449 kb

Author(s)

L. Palermo

Abstract

The solution for plate bending under harmonic loads including the geometrical non-linearity effect is presented. The influence of shear deformation and the rotatory inertia in the plate behavior were considered by using the elastodynamic fundamental solution. An additional domain integral was included in the boundary integral equations to consider the geometrical non-linearity effect where in-plane forces were assumed invariant with time and the deflection derivatives dependent of the harmonic solution. An analysis to get the lowest eigenvalue is used to show the relation between maximum values for in-plane forces according to the frequency value. Results obtained when plate rotations were used instead of deflection derivatives in the term related to the geometrical non-linearity effect are discussed and compared to solutions in the literature to show the extension of this strategy.

Keywords

harmonic solution, critical in-plane loads, the geometrical nonlinearity effect in Mindlin plates