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Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
Języki publikacji
Abstrakty
General strategy for developing finite elements of general geometric shape explained on quadrilateral folded plate structure element ensuring invariance properties is presented in this paper. The basic idea of this strategy consists in using the natural coordinate system only for defining the element geometry and performing the element integration in a mapped biunit square. For defining the approximation functions a suitable local Cartesian coordinate system defined from the directions of the covariant base vectors and the perpendicular contravariant base vectors is used. The origin of the local coordinate system is located at the element centroid (centre of gravity). Hybrid and boundary finite elements of reduced Trefftz type for analysing the folded plate structures are also presented. The folded plate structure element is a combination of a plate bending element and a plane stress element.
Rocznik
Tom
Strony
391--406
Opis fizyczny
Bibliogr. 23 poz., rys., wykr.
Twórcy
autor
- Faculty of Civil Engineering, Tishreen University, Lattakia, Syria
Bibliografia
- [1] D.W. Wang, I.N. Katz, and B.A. Szabo. h- and p-version finite element analyses of a rhombic plate. Int. J. Num. Meth. Eng., 20: 1399-1405, 1984.
- [2] T.J.R. Hughes. The Finite Element Method Linear Static and Dynamic Finite Element Analysis. Prentice-Hall, 1987.
- [3] J. Jirousek and L. Guex. The hybrid Trefftz finite element model and its application to plate bending. Int. J. Num. Meth. Eng., 23: 651-693, 1986.
- [4] K.Y. Sze and C.L. Chow. An efficient hybrid quadrilateral Kirchhoff plate bending element. Int. J. Num. Meth. Eng., 32: 149-169, 1991.
- [5] J. Jirousek and A. Wrobelwski. Alternative displacement frame formulations in hybrid-Trefftz Kirchhoff plate p-elements. GAMES, 4: 417-451, 1997.
- [6] L.J. Batoz and M. Ben Tahhar. Evaluation of a new quadrilateral thin plate bending element. Int. J. Num. Meth. Eng., 12: 1655-1677, 1982.
- [7] K.J. Bathe. Finite Element Procedures. Prentice Hall, Upper Saddle River; New Jersey, 1996.
- [8] Jr. William Weaver and P.R. Johnston. Structural Dynamics by Finite Elements. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1987.
- [9] Argeris J.H. and J.P. Mljejnek. Die Methode Der Finiten Elemente, Band II. Friedr. Vieweg & Sohn , Braunschweig, Wiesbaden, 1987.
- [10] M.A. Crisfield. Nonlinear Finite Element Analysis of Solids and Structures, volume 2: Advanced Topics. John Wiley & Sons Ltd., Chichester, England, 1997.
- [11] S. Abo Diab. Generalization of a reduced Trefftz-type approach - Quadrilateral plate bending elements. In Y. Villacampa Esteve, G.M. Carlomagno, and C.A. Brebbia, editors, Computational Methods and Experimental Measurement X: Proc. 10th Int. Conf. Alicante, pages 978-986, Southampton, Boston, 2001. WIT PRESS.
- [12] S. Abo Diab. Generalization of a reduced Trefftz-type approach - Eigenvalue analysis of circular, trapezoidal and rhombic plates. In W.A. Wall, K.-U. Bletzinger, and K. Schweizerhof, editors, Trends in Computational Structural Mechanics. Proc. Int. Conf., Schloss Hafen, Lake Constance / Austria, pages 273-282, Barcelona,2001. CIMNE.
- [13] S. Abo Diab. Generalization of a reduced Trefftz-type approach. In B. Möller, editor, Veröffent-lichungen des Lehrstuhls für Statik., volume 4, pages 1-68. Technische Universität Dresden, 2001.
- [14] Y.S. Abo Diab. Formatting of quadrilateral finite elements. In H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner, editors, Fifth World Congress on Computational Mechanics (WCCM V), Vienna, Austria, 2002. Vienna University of Technology, Austria.
- [15] S. Abo Diab. Direkte Zuordnung des Verschiebungs- und Schnittkraftzustandes zum Belastungs-zustand bei der FEM-Verschiebungsmethode. In Festschrift o. Prof. Dr.-lng . habil. H. Müller 65 Jahre - ehemalige Doktoranden gratulieren, Lehrstuhl für Statik, pages 25-30. TU Dresden, 1994.
- [16] S. Abo Diab. The natural boundary conditions as a variational basis for finite element methods – quadrilateral plate bending elements. In V. Kompis, M. Zmindak, and E.W.A. Maunder, editors, Numerical Methods in Continuums Mechanics 2000, Liptovsky Jan, Slovakia, 2000. CD-ROM, Paper Nr. 083.
- [17] S. Abo Diab. The natural boundary conditions as a variational basis for finite element methods. GAMES, 8(2 / 3): 313-226, 2001.
- [18] B. Möller. Anwendung eines erweiterten Variationsprinzipes auf Stab- und faltwerkartige Konstruktionen aus Stahlbeton. Technical report , TU Dresden, 1983. Habil.
- [19] H. Müller and B. Möller. Lineare und physikalisch nichtlineare Statik von Faltwerken. Schriftenreihe Bauforschung-Baupraxis, volume Heft 155 of Lehrstuhl für Statik. Verlag Bauinformation, Berlin; Nachdruck TU Dresden, 1985.
- [20] S. Abo Diab. Entwicklung und Einsatz gemischt-hybrider finiter Elemente für Aufgaben der linearen Kinetik von Faltwerken- Ein Beitrag zu FALT-FEM 5. PhD thesis, Technische Universität Dresden, 1989.
- [21] H. Müller, S. Abo Diab, W. Graf, and A. Hoffmann. Lineare Kinetik von Faltwerken mit gemischt-hybriden Elementen. In Internationaler Kongress über Anwendungen der Mathematik in den Ing enieurwissenschaften (IKM), pages 348-353, Weimar, 1994.
- [22] H. Müller, B. Möller, W. Graf, A. Hoffmann, and J. Kluger. Benchmark-Beispiele beim Praxiseinsatz hybrider Faltwerkelemente. In U. Meissner and K. Wassermann, eds., 4- FEM / CAD-Tagung Darmstadt, VDI-Fortschrittberichte, volume 20, pages 65-71, Dusseldorf, 1996. VDI-Verlag.
- [23] K. Peters. Finite Elemente Formulierungen im Trefftzschen Sinne für dreidimensionale anisotropy-elastische Faserverbundstrukturen. In E. Stein, editor, Forschungs- und Seminarberichte aus dem Bereich der· Mechanik der Universität Hannover, volume Bericht-Nr. F93/3. Hannover, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0085