Optimal remodelling of truss structures (simulation by virtual distortions)

  • Przemysław Kołakowski Institute of Fundamental Technological Research Polish Academy of Sciences
  • Jan Holnicki-Szulc Institute of Fundamental Technological Research Polish Academy of Sciences

Abstract

Optimal remodelling for least-weight trusses under single as well as multi-load state and limits imposed on local strains is considered. The so called Virtual Distortion Method is applied to simulate proces of structural remodelling through fictitious "virtual distortions" . In effect, applying knowledge of strains induced by virtual distortions modelling material redistribution, analytical formulas for sensitivity analysis and remodelling simulation process can be obtained. Various algorithms for the VDM-based structural remodelling have been proposed and tested on examples of elastic and elasto-plastic trusses.

Keywords

References

[l] A.G.M. Michell. The Limits of Economy of Material in Frame Structures. Phil. Mag. , 8: 589-597, 1904.
[2] M.P. Bendsoe, A. Ben-Tal, J. Zowe. Optimization Methods for Truss Geometry and Topology Design. Structural Optimization, 7: 141-159, 1994.
[3] M.P. Bendsoe, N. Kikuchi. Generating Optimal Topologies in Structural Design Using a Homogenization Method. Computer Methods in Applied Mechanics and Engineering, 71: 197-224, 1988.
[4] T. Lewiński, M. Zhou, G.I.N. Rozvany. Extended Exact Solutions for Least-Weight Truss Layouts. International Journal of Mechanical Sciences, 36: 375-398, 1994
[5] B.M.V. Topping. Mathematical Programming Techniques for Shape Optimization of Skeletal Structures. In: G.I.N. Rozvany, ed., Shape and Layout Optimization in Structural Design, 349-376. Springer, Vienna, 1992.
Published
Jun 22, 2023
How to Cite
KOŁAKOWSKI, Przemysław; HOLNICKI-SZULC, Jan. Optimal remodelling of truss structures (simulation by virtual distortions). Computer Assisted Methods in Engineering and Science, [S.l.], v. 4, n. 2, p. 257-281, june 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1406>. Date accessed: 17 may 2024.
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Articles