Journal article
Equivalence of continuum and discrete methods of shape design sensitivity analysis
AIAA journal, Vol.27(10), pp.1418-1424
10/1989
DOI: 10.2514/3.10280
Abstract
This paper presents results on the study of equivalence of discrete-discrete (D-D) and continuum-discrete (C-D) methods of shape design sensitivity analysis. For the D-D method, discrete design sensitivity expressions are obtained by taking analytical derivatives of the finite-element matrix equation with respect to shape design variables. For the C-D method, derivatives of the continuum equilibrium equation are taken using the materialderivative idea to obtain the design sensitivity expressions in continuous setting. In both D-D and C-D methods, the design sensitivity expressions are evaluated using the analysis results of the finite-element method. It is shown in this paper that, for the shape design variable, they are not equivalent. For the equivalence study, the same discretization method (shape function) used for the finite-element model is used to evaluate the continuum design sensitivity expressions. Also, a consistent method is employed for the movement of finite-element grid points for shape design change in the D-D method and the discretization of the design velocity field of the C-D method. Moreover, it is shown that the result of the C-D method can detect inaccuracy of the result of finite-element analysis. The reason is because the continuum design sensitivity expressions must provide accurate design sensitivity information when accurate finite-element analysis results are used to evaluate these expressions
Details
- Title: Subtitle
- Equivalence of continuum and discrete methods of shape design sensitivity analysis
- Creators
- Kyung K Choi - The University of IowaSung-Ling Twu - The University of Iowa
- Resource Type
- Journal article
- Publication Details
- AIAA journal, Vol.27(10), pp.1418-1424
- DOI
- 10.2514/3.10280
- ISSN
- 0001-1452
- eISSN
- 1533-385X
- Language
- English
- Date published
- 10/1989
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064242802771
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