Design sensitivity analysis of structural systems
type: Item
instance of: scholarly article
title: Design sensitivity analysis of structural systems
zbMATH Open document ID: 0618.73106
published in: Mathematics in Science and Engineering
publication date: 1986-01-01T00:00:00Z
review text: The theory and numerical methods of structural design sensitivity analysis is the objective of the monograph. The text is organized into four chapters, which include: Finite-dimensional structural systems, Distributed parameter structural components, Structural components with shape as the design variable, Design sensitivity analysis of built-up structures. In the case of finite-dimensional problems the structural state equations are matrix equations for static response, vibration and buckling of structures and matrix differential equations for transient dynamic response with design variables appearing in the coefficient matrices. For infinite-dimensional problems the state and design variables are functions of displacements and material distribution while the structural state equations are boundary-value problems of ordinary or partial differential equations. The material derivative idea is used to predict the effect of a change in shape of structural components on functionals that define structural response. In the final chapter built-up structures have been considered that are composed of the coupled components treated in the previous chapters. Direct design differentiation and adjoint variable methods of design sensitivity analysis have been developed. Computational problems of implementing the methods have been considered in some detail making use of the finite-element technique. Many examples examined in the text include trusses, frames, beams, plates and other structural elements. They really illustrate the theoretical considerations well.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J99
zbMATH DE Number: 4003691
zbMATH Keywords: structural design sensitivity
zbMATH Keywords: finite-dimensional problems
zbMATH Keywords: structural state equations
zbMATH Keywords: matrix equations for static response
zbMATH Keywords: vibration
zbMATH Keywords: buckling
zbMATH Keywords: matrix differential equations for transient dynamic response
zbMATH Keywords: infinite-dimensional problems
zbMATH Keywords: design variables
zbMATH Keywords: functions of displacements
zbMATH Keywords: material distribution
zbMATH Keywords: boundary-value problems
zbMATH Keywords: ordinary or partial differential equations
zbMATH Keywords: material derivative
zbMATH Keywords: change in shape of structural components
zbMATH Keywords: built-up structures
zbMATH Keywords: Direct design differentiation
zbMATH Keywords: adjoint variable methods
zbMATH Keywords: trusses
zbMATH Keywords: frames
zbMATH Keywords: beams
zbMATH Keywords: plates
author: Edward J. Haug
author: K. K. Choi
author: Vadim Komkov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4003691