The boundary element formulation for multiparameter structural shape optimization
type: Item
instance of: scholarly article
title: The boundary element formulation for multiparameter structural shape optimization
zbMATH Open document ID: 0582.73086
DOI: 10.1016/0307-904X(85)90007-1
author: T. Adamczyk
author: T. Burczynski
published in: Applied Mathematical Modelling
publication date: 1985-01-01T00:00:00Z
review text: A problem of optimal shaping of a free and loaded boundary has been formulated in terms of the boundary element method. A maximal stiffness criterion together with the limitation of volume of a body has been used. The problem has been solved with the application of integral optimality conditions being defined on an optimal boundary. Discretization of a boundary and optimality conditions, respectively, with the aid of boundary elements leads to an iterative procedure, from which one can determine the shape parameters generating the position of the optimal boundary.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3932555
zbMATH Keywords: evaluation of strain potential
zbMATH Keywords: algorithm for optimal shaping
zbMATH Keywords: Newton- Raphson procedure
zbMATH Keywords: free and loaded boundary
zbMATH Keywords: boundary element method
zbMATH Keywords: maximal stiffness criterion
zbMATH Keywords: limitation of volume
zbMATH Keywords: integral optimality conditions
zbMATH Keywords: Discretization of a boundary and optimality conditions
zbMATH Keywords: iterative procedure
MaRDI profile type: Publication
cites work: Q3888653
cites work: Q3965703
cites work: A review of techniques for automated structural design
cites work: Q4171679
cites work: Q3909935
cites work: Q3735219
cites work: Multiparameter structural shape optimization by the finite element method
cites work: Q3666418
description: scientific article; zbMATH DE number 3932555