Implementation of the harmonic transformation method in shape optimization

  • Antoni Żochowski Systems Research Institute of the Polish Academy of Sciences

Abstract

The paper describes an implementation of the variant of the speed method in shape optimization for plane elastic structures, based on harmonic transformations. It is coupled with special method for solving the singular elliptic problems resulting from geometric features like e.g. reentrant corners. Both approaches are based on the works of the author. The interactive system has been built, based on MATLAB environment, and the examples showing the robustness of the algorithms were solved.

Keywords

References

[1] D. Chenais. On the existence of a solution in a domain identification problem, J. of Mathematical Analysis and Appl., 52: 189-219, 1975.
[2] R.G Cooke. Infinite Matrices and Sequence Spaces, MacMillan and Co., London 1950.
[3] K. Dems, Z. Mróz. Shape sensitivity in mixed Dirichlet-Neumann boundary value problems and associated class of path independent integrals, Eur. J. Mech., A/Solids, 14(2): 169-203, 1995.
[4] K. Oems. Shape and materials parameters sensitivity analysis in quasi-harmonic problems, Control and Cybernetics, 25(5); 969-1000, 1996.
[5] P. Grisvard. Elliptic Problems in Nonsmooth Domains, Pitman, 1985.
Published
May 31, 2023
How to Cite
ŻOCHOWSKI, Antoni. Implementation of the harmonic transformation method in shape optimization. Computer Assisted Methods in Engineering and Science, [S.l.], v. 5, n. 3, p. 285-298, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1345>. Date accessed: 21 nov. 2024.
Citation Formats
Issue
Vol 5 No 3 (1998)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Most read articles by the same author(s)