Folded-plate structures with openings - analysis and optimization
Abstract
This paper is a continuation and development of the dissertation [1]. Complex folded-plate structures with holes are analyzed using the Trefftz-type finite elements, which appears very effective. The shape functions of these elements (Trefftz functions) fulfill respective differential equations. Then, a certain optimization algorithm is proposed, in which an optimized structure can have a large number of parameters used as optimization variables. Therefore, in particular stages of the proposed procedure, less important variable can be eliminated. The choice of the active variable set is based on investigation of sensitivity of the objective function and constraints on small changes of these variables.
Keywords
Trefftz-type finite elements, Hybrid elements, Folded-plate structures, Optimization of structures.,References
[l] B. Szybiński. Trefftz -type finite elements applied to the analysis of complex thin-walled structures. PhD thesis, Cracow University of Technology, 1997.[2] H. Sanecki, A.P. Zieliński. Trefftz finite element approach: acceleration of optimization process by sensitivity analysis. In: Proc. of the 1st ECCM, Munich, Germany, 1999.
[3] M. Karaś. Generalized Trefftz method applied to optimization of elastic structures. PhD thesis, Cracow University of Technology, 200l.
[4] A.P. Zieliński, H. Sanecki, M. Karaś. Effectiveness of the Trefftz method in different engineering optimization procedures. CAMES, 8: 479- 493, 200l.
[5] B. Szybiński, M. Karaś, A.P. Zieliński. 3D plate structures: optimization using special T-elements. In: Proc. Of the V World Congress on Computational Mechanics, Vienna, Austria, 2002.
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