Engineering Computations: International Journal for Computer-Aided Engineering and Software: Engineering Structures: Nonlinear Analysis, Optimal Design and Identification, Volume 22, Number 5/6, 2005

Parameterization Based Shape Optimization Theory and Practical Implementation Aspects

Marko Kegl
Faculty of Mechanical Engineering, University of Maribor, Maribor, Slovenia

Engineering Computations: International Journal for Computer-Aided Engineering and Software
Vol. 22 No. 5/6, 2005
pp. 646-663
Emerald Group Publishing Limited
0264-4401
DOI 10.1108/02644400510603041
Received September 2004
Accepted January 2005

Overview

Abstract

Purpose To present an approach to parameterization based shape optimization of statically loaded structures and to propose its practical implementation.

Design/methodology/approach In order to establish a convenient shape parameterization, the design element technique is employed. A rational B zier body is used to serve as the design element. The design element is used to retrieve the nodal geometrical data of finite elements (FEs). Their field geometrical data are obtained using the FE own internal functions. For practical implementation it is proposed to establish the optimization cycle by two separately running processes. The data exchange is established by using self-descriptive and platform-independent XML conforming data files.

Findings The proposed approach offers an unified approach to shape optimization of skeletal, as well as continuous structures. Structural shape may be varied smoothly with a relative small set of design variables. The employment of a gradient-based optimization algorithm assures computational efficiency.

Research limitations/implications The aspects of FE mesh deterioration are not considered in this work. This would be necessary if for the actual problem at hand major and excessively non-uniform shape changes of the FE mesh are expected.

Practical implications A useful source of information...

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