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Tytuł artykułu

Static analysis of circular and elliptic plates resting on internal flexible supports by the Boundary Element Method

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A static analysis of circular and elliptic Kirchhoff plates resting on internal elastic supports by the Boundary Element Method is presented in the paper. Elastic support has the character of Winkler-type elastic foundations. Bilateral and unilateral internal constraints are taken into consideration. The Betti’s theorem is used to derive the boundary domain integral equation. The direct version of the boundary element method is presented and simplified boundary conditions, including curvilinear boundary elements, are introduced. The collocation version of boundary element method with non-singular approach is presented.
Rocznik
Strony
21--32
Opis fizyczny
Bibliogr. 18 poz., rys., tab.
Twórcy
autor
  • Institute of Structural Engineering, Poznan University of Technology Poznan, Poland
autor
  • Institute of Structural Engineering, Poznan University of Technology Poznan, Poland
Bibliografia
  • [1] Bezine G., A boundary integral equation method for plate flexure with condition inside the domain, International Journal of Numerical Method in Engineering 1981, 15, 1647-1657.
  • [2] Bu X.M., Yan Z.D., Bending problems of rectangular thin plate with free edges laid on tensionless Winkler foundation, Applied Mathematic and Mechanics 1989, 10, 5, 435-442.
  • [3] Xiao J.R., Boundary element analysis of unilateral supported Reissner plates on elastic foundations, Computational Mechanics 2001, 27, 1-10.
  • [4] Rashed Y.F., A coupled BEM-flexibility force method for bending analysis of internally supported plates, International Journal of Numerical Method in Engineering 2002, 54, 1431 457.
  • [5] Stern M., A general boundary integral formulation for the numerical solution of plate bending problems, International Journal of Solids and Structures 1978, 15, 769-782.
  • [6] Burczyński T., The Boundary Element Method in Mechanics, WNT, Warszawa 1995 (in Polish).
  • [7] Wrobel L.C., Aliabadi M.H., The Boundary Element Methods in Engineering, McGraw-Hill College, 2002.
  • [8] Guminiak M., Litewka P., Sygulski R., Static analysis of plates on the unilateral foundation by BEM, Proceedings of the 9th International Conference Modern Building Materials, Structures and Techniques, Vilnius, May 19-21, 2004, Selected papers, (eds.) E.K. Zavadskas, P. Vainiunas, F.M. Mazzolani, Vilnius Gediminas Technical University Press "Technika" Scientific book 1026, 2004, vol. III, 765-768.
  • [9] Katsikadelis J.T., Sapountzakis E.J., Zorba E.G., A BEM approach to static and dynamic analysis with internal supports, Computational Mechanics 1990, 7, 1, 31-40.
  • [10] Pawlak Z., Guminiak M., The application of fundamental solutions in static analysis of thin plates resting on the internal elastic support, Foundations of Civil and Environmental Engineering 2008, 11, 67-96.
  • [11] Katsikadelis J.T., Σynopiaka σtoixeia, Toμoς II, Aνάλυση Πλακών, 2η Eκδoση, EMΠ 2010 (Boundary elements, Vol. II, Analysis of Plates, Second Edition, NTUA, Athens 2010).
  • [12] Guminiak M., Litewka B., Selected problems of thin and thick plates theory in terms of BEM, Foundations of Civil and Environmental Engineering 2012, 15, 41-90.
  • [13] Litewka B., Sygulski R., Application of the fundamental solutions by Ganowicz in a static analysis of Reissner’s plates by the boundary element method, Engineering Analysis with Boundary Elements 2010, 34, 1072-1081.
  • [14] Guminiak M., Application of simplified curved boundary elements to the plate analysis – part one, Scientific Research of the Institute of Mathematics and Computer Science 2010, 2, 9, 59-71.
  • [15] Guminiak M., Application of simplified curved boundary elements to the plate analysis – part two, Scientific Research of the Institute of Mathematics and Computer Science 2010, 2, 9, 73-81.
  • [16] Abdel-Akher A., Hartley G.A., Evaluation of boundary integrals for plate bending, International Journal of Numerical Method in Engineering 1989, 28, 75-93.
  • [17] Abaqus, Abaqus Manuals. Inc. Providence, 2005.
  • [18] Guminiak M., Static analysis of thin plates by the Boundary Element Method in a non-singular approach, Foundations of Civil and Environmental Engineering 2007, 9, 75-93.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-643b6ab5-82af-4c34-8f88-4e7f8ccd4151
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