Advanced solving techniques in optimization of machine components

  • Gundolf Haase Johannes Kepler University of Linz
  • Ewald H. Lindner Johannes Kepler University of Linz

Abstract

We consider the optimal design of a machine frame under several stress constraints. The included shape optimization is based on a Quasi-Newton Met hod and requires the solving of the plain stress state equations in a complex domain for each evaluation of the objective therein. The complexity and robustness of the optimization depends strongly on the solver for the pde. Therefore, solving the direct problem requires an iterative and adaptive multilevel solver which detects automatically the regions of interest in the changed geometry. Although we started with a perfected type frame we achieved another 10 % reduction in mass.

Keywords

References

[1] R. Fletcher. Practical Methods for Optimization, Vol. 2: Constrained Optimization. John Wiley & Sons, Chichester, 1981.
[2] V .G. Korneev, U. Langer. Approximate Solution of Plastic Flow Theory Problems. Vol. 69 of Teubner-Texte zur Mathematik, Teubner, Leipzig, 1984.
[3] J.T. Oden E.B. Becker, G.F. Carey. Finite Elements, The Finite Element Series I- VI. Prentice Hall, Englewood Cliffs, N.J., 1982.
[4] M.J.D. Powell. A fast algorithm for nonlinear constrained optimization calculations. In: G.A. Watson (ed.), Numerical Analysis, Dundee 1977. Lecture Notes in Mathematics 630, Springer-Verlag, Berlin, 1978.
[5] J. Schöberl. NETGEN. Technical Report No 95-3, Institut für Mathematik, Johannes Kepler Universität Linz, 1995.
Published
Apr 18, 2023
How to Cite
HAASE, Gundolf; LINDNER, Ewald H.. Advanced solving techniques in optimization of machine components. Computer Assisted Methods in Engineering and Science, [S.l.], v. 6, n. 3-4, p. 337-343, apr. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1281>. Date accessed: 03 july 2024.
Section
Articles