Journal article
Design sensitivity analysis of nonâlinear structural systems part I: Theory
International journal for numerical methods in engineering, Vol.24(11), pp.2039-2055
11/1987
DOI: 10.1002/nme.1620241103
Abstract
A unified approach is presented for design sensitivity analysis of nonâlinear structural systems that include truss, beam, plane elastic solid and plate components. Both geometric and material nonâlinearities are treated. Sizing design variables, such as thickness and crossâsectional areas of components of individual members and builtâup structures, are considered. A distributed parameter structural design sensitivity analysis approach is used that retains the continuum elasticity formulation throughout the derivation of design sensitivity analysis results. Using this approach and an adjoint variable method, expressions for design sensitivity in terms of design variations are derived in the continuous setting which can be evaluated numerically using analysis results of finite element analysis. Both total Lagrangian and updated Lagrangian formulations in nonâlinear analysis of solid mechanics are used for design sensitivity analysis. Numerical implementation of design sensitivity analysis results using existing finite element code will be presented in Part II of this paper.
Details
- Title: Subtitle
- Design sensitivity analysis of nonâlinear structural systems part I: Theory
- Creators
- Kyung K ChoiJose L. T Santos
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.24(11), pp.2039-2055
- Publisher
- John Wiley & Sons, Ltd; New York
- DOI
- 10.1002/nme.1620241103
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Number of pages
- 17
- Language
- English
- Date published
- 11/1987
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064234602771
Metrics
12 Record Views