A BPM solution for elliptic plates subjected to eccentric loads
type: Item
instance of: scholarly article
title: A BPM solution for elliptic plates subjected to eccentric loads
zbMATH Open document ID: 0653.73034
DOI: 10.1016/0020-7683(88)90046-7
author: R. Parnes
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: A higher-order boundary perturbation method (BPM), formulated to treat a class of problems defined in an elliptic domain, is developed to obtain the Green function due to an eccentric source. The method, based on a dual perturbation, leads to expansion solutions expressed in terms of ellipticity and eccentricity perturbation parameters. General explicit expressions for equivalent boundary conditions on the perturbed boundary are first derived to treat the class of problems for which the associated boundary conditions are of the Dirichlet or Neumann type. The BPM is applied to investigate the clamped elliptic plate subject to eccentric loads. Estimates of the accuracy of the method are given. The BPM is seen to yield reasonably accurate solutions for moderately elliptic domains and moderate ellipticities.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 4066475
zbMATH Keywords: Dirichlet boundary value problem
zbMATH Keywords: Neumann boundary value problem
zbMATH Keywords: higher-order boundary perturbation method
zbMATH Keywords: Green function
zbMATH Keywords: eccentric source
zbMATH Keywords: dual perturbation
zbMATH Keywords: expansion solutions
zbMATH Keywords: ellipticity
zbMATH Keywords: eccentricity perturbation parameters
zbMATH Keywords: Estimates of the accuracy
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90046-7
OpenAlex ID: W2072975472
description: scientific article; zbMATH DE number 4066475