Global/local analysis of composite plates with cutouts |
| |
Authors: | R K Kapania S G Haryadi R T Haftka |
| |
Affiliation: | (1) Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0203, USA, US;(2) Dept. of Aerospace Engng., Mechanics and Engineering Science, University of Florida, Gainesville, FL 32611-6250, USA, US |
| |
Abstract: | The study focuses on the development of a simple and accurate global/local method for calculating the static response of
stepped, simply-supported, isotropic and composite plates with circular and elliptical cutouts. The approach primarily involves
two steps. In the first step a global approach, the Ritz method, is used to calculate the response of the structure. Displacement
based Ritz functions for the plate without the cutout are augmented with a perturbation function, which is accurate for uniform
thickness plates only, to account for the cutout. The Ritz solution does not accurately satisfy the natural boundary conditions
at the cut-out boundary, nor does it accurately model the discontinuities caused by abrupt thickness changes. Therefore, a
second step, local in nature is taken in which a small area in the vicinity of the hole and encompassing other points of singularities
is discretized using a fine finite element mesh. The displacement boundary conditions for the local region are obtained from
the global Ritz analysis. The chosen perturbation function is reliable for circular cutout in uniform plates, therefore elliptical
cutouts were suitably transformed to circular shapes using conformal mapping. The methodology is then applied to the analysis
of composite plates, and its usefulness successfully proved in such cases. The proposed approach resulted in accurate prediction
of stresses, with considerable savings in CPU time and data storage for composite flat panels. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|