Folded-plate structures with openings - analysis and optimization

• Autorzy: Szybiński B. , Zieliński A. P. , Karaś M
• Konferencja: International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
• Języki publikacji: EN

Abstrakty

EN

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 variables 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.

Słowa kluczowe

EN

optimization; Trefftz method

PL

optymalizacja; metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 4
• Strony: 629--640
• Opis fizyczny: Bibliogr. 14 poz., tab., rys.

Twórcy

autor

Szybiński B.

• Cracow University of Technology, Institute of Mechanics & Machine Design, Kraków, Poland

autor

Zieliński A. P.

• Cracow University of Technology, Institute of Mechanics & Machine Design, Kraków, Poland

autor

Karaś M

• Jagiellonian University, Institute of Methematics, Kraków, Poland

Bibliografia

• [1] 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, 2001.
• [4] A.P. Zieliński, H. Sanecki, M. Karaś. Effectiveness of the Trefftz method in different engineering optimization procedures. GAMES, 8: 479-493, 2001.
• [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.
• [6] J. Jirousek. Basis for development of large finite elements locally satisfying all field equations. Camp. Meth. Appl. Mech. Engng, 14: 65-92, 1978.
• [7] J. Jirousek, L. Guex. The hybrid-Trefftz finite element model and its application to plate bending. Int. Journal for Num. Meth. in Engng, 23: 651-693, 1986.
• [8] J. Jirousek, A. Venkatesh. Hybrid-Trefftz plane elasticity elements with p-method capabilities. Int. Journal for Num. Meth. in Engng, 35: 1443-1472, 1992.
• [9] J. Jirousek, A.P. Zieliński. Survey of Trefftz-type element formulations. Computer 8 Structures, 63(2): 225-242, 1997.
• [10] J. Jirousek, B. Szybiński, A.P. Zieliński. Study of a family of hybrid Trefftz folded plate p-version elements. GAMES, 4(3-4): 453-476, 1997.
• [11] T.J.R. Hughes, F. Brezzi. On drilling degrees of freedom. Camp. Meth. Appl. Mech. Engng, 72: 105-121, 1989.
• [12] O.C. Zienkiewicz, R.L. Taylor. The Finite Element Method. Butterworth-Heinemann, 5th edition, 2000.
• [13] Analysis System Inc., Swanson. ANSYS- User Manual, 1999. Release 5.7.
• [14] R. Bares. Tables for the Analysis of Plates, Slabs and Diaphragms Based on the Elastic Theory. Bau Verlag Gmbh, Wiesbaden, 1990.