Optimization techniques: Synthesis of design and analysis
type: Item
instance of: scholarly article
title: Optimization techniques: Synthesis of design and analysis
zbMATH Open document ID: 0608.73084
DOI: 10.1016/0168-874X(87)90033-3
author: B. George
published in: Finite Elements in Analysis and Design
publication date: 1987-01-01T00:00:00Z
review text: This paper is focused on the use of optimization techniques in the framework of computer aided design and finite element methodology. A design model is developed which can be used for structural sizing as well as for shape design. An essential aspect of this work is sensitivity analysis, which consists of computing derivatives of the functions which define the optimization problem. Attention is restricted on static linear problems involving shape variables. A new and rather general mathematical programming method is described. For structural sizing as well as for shape optimal design, the method generalizes previous approaches and has excellent convergence properties. A sample of numerical applications is given showing the efficiency and reliability of the proposed formulation. Finally the concept of interactive redesign allowing the designer to monitor the optimization process on a graphic terminal is envisaged. It is expected that in the future this concept will lead to integration of structural optimization methods into computer aided design systems.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 3984737
zbMATH Keywords: convex linearization
zbMATH Keywords: computer aided design
zbMATH Keywords: finite element methodology
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: static linear problems
zbMATH Keywords: shape variables
zbMATH Keywords: general mathematical programming method
zbMATH Keywords: structural sizing
zbMATH Keywords: shape optimal design
zbMATH Keywords: concept of interactive redesign
MaRDI profile type: Publication
full work available at URL: 0168-874x(87)90033-3
OpenAlex ID: W4241018680
description: scientific article; zbMATH DE number 3984737