Engineering Transactions, 52, 1-2, pp. 23–35, 2004

Stress Controlled Shape Optimization of 2D Elastic Structures

W. Gutkowski
Polish Academy of Sciences

J. Zawidzka
Polish Academy of Sciences

J. Zawidzki
Polish Academy of Sciences

A simple and effective method of stress-controlled shape optimization of 2D linear elastic structures is presented. The main elements of the method are: adaptive FE grids fitting well to the structure shape at each iteration step of the proposed simple optimization algorithm and the concept of stress level factor, controlling directly the design variables being the grid parameters. Several examples of beam-type and plate-type 2D structures are investigated. A few iterations only are needed in order to reach a nearly optimal solution.
Full Text: PDF


R.T. HAFTKA and R.V. GRANDHI, Structural shape optimization – a survey, Comp. Meth. Appl. Mech. Engng., 57, 91–106, 1986.

B. HASSANI and E. HINTON, Homogenization and structural topology optimization, Springer, London 1999.

W. GUTKOWSKI and J. ZAWIDZKA, Shape optimization using regular adaptive grid, Proc. of Seiken-IASS Symposium on Nonlinear Analysis and Design for Shell and Spatial Structures, Tokyo 1993.

W. GUTKOWSKI and J. ZAWIDZKA, Shape optimization of 2D elastic structures using adaptive grids, Engng. Trans., 43, 1–2, 137–150, 1995.

Q. Li, G.P. STEYEN, O.M. QUERIN, Y.M. XIE, Stress based optimization of torsional shafts using an evolutionary procedure, Int. J. Solids Structures, 38, 5661–5677, 2001.

W. WIERZBICKI, Structural mechanics [in Polish], PWN, Warszawa 1958.

R.A. NAQIB, A. ZUREICK and K.M. WILL, New approximate-iterative technique in shape optimization of continuum structures, Computers & Structures, 51, 6, 737–748, 1994.

DOI: 10.24423/engtrans.467.2004

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland