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The analysis of internally supported thin plates by the boundary element method. Part 1 - Static analysis

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EN
Abstrakty
EN
A static analysis of Kirchhoff plates rested on the column supports has been presented in the paper. Using the proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at the plate boundary [14], [18], [19], [22]. Two unknown and independent variables have been considered at the boundary element node. The boundary integral equation has been derived using the Bettie theorem. The collocation points are located slightly outside a plate boundary, hence the quasi-diagonal integrals of fundamental functions are non-singular [15], [18], [19], [22], The constant types boundary element have been used.
Rocznik
Tom
Strony
17--41
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
autor
Bibliografia
  • 1. Brebbia, C.A., Telles, J.C.F. and Wróbel, L.C.: Boundary Element Tech-niąues, Theory and Applications in Engineering, Springer-Verlag, Berlin Heidelberg, New York, Tokyo, 1984.
  • 2. Burczyński T.: The Boundary Element Method in Mechanics, Technical--Scientific Publishing house, Warszawa, 1995 (in Polish).
  • 3. Ganowicz R.: Some ąucstions of thcory Reissner and thrce-laycrs plates, Theoretical and Applied Mechanics, 1966 (in Polish).
  • 4. Bezine G.: Boundary intcgral formulation for platc flexure with arbitrary boundary condition, Mechanics Resarch Communications, 5(4) (1978), 197--206.
  • 5. Stern M.: A generał boundary integral formulation for the numerical solu-tion of platc bendingproblcms, Int. J. Solids Structurcs 15 (1979), 169-782.
  • 6. Bezine G.: A boundary integral eąuation method for piąte flexure with condition insidc the domain, Int. J, Num. Meth. Engng. 15 (1981), 1647-1657.
  • 7. Yander Wceen F.: Application of the boundary integral cquation method to Reissner's piąte model, Int. J. Num. Meth. Engng., 18 (1982) 1-10.
  • 8. de Paiva J.B., Ycnturini W.S.: Boundary element algorithm for building floor slab analysis, In International Confcrence of BETECH 85, Adclaide, Australia, Brebbia C.A., Noye B.J. (eds), Computational Mechanics Publica-tions(1985),201-209.
  • 9. Hartmann F., Zotemantel R.: The direct boundary element method in piąte bending, Int. J. Num. Meth. Engng., 23 (1986), 2049-2069.
  • 10. de Paiva J.B., Yenturini W.S.: Analysis of building structures considering plate-beam-column interactions, In International Conference of BETECH 87, Rio de Janeiro, Brazil, Brebbia C.A., Yenturini W.S. (eds), Computa-tional Mcchanics Publications (1987), 209-219.
  • 11. Abdel-Akhcr A., Hartley G. A.: Domain integration for piąte bending analy-sis by thc boundary element method, Applied Numerical Method, 5 (1989), 23-28.
  • 12. Abdel-Akher A., Hartley G. A.: Evaluation of boundary integrals for piąte bending. Int. J. Num. Mcth. Engng., 28 (1989), 75-93.
  • 13. Katsikadelis J.T. Sapountzakis E.J., Zorba E.G.: A BEM approach to static and dynamie analysis of plates. Computational Mechanics, 7(1) (1990), 31--42.
  • 14. El-Zafrany A., Debbih M. and Fadhil S.: A modificd Kirchhoff theory for boundary element bending analysis of thin plates, Int. J. Solids Structures, 21 (31) (1994), 2885-2889.
  • 15. Hartley G. A.: Dcvelopment of piąte bending elements for frame analysis, Engineering Analysis with Boundary Element, 17, 2 (1997) 93-104.
  • 16. Providakis C.P., Toungelis G.: A D/BEM approach to the transient response analysis of elastoplastic plates, Eng. Computations, 5(4) (1998), 501-511.
  • 17. Rashed Y. F.: A couplcd BEM-flexibility force method for bending analysis of internally supported plates. Int, J. Num. Meth. Engng., 54 (2002), 1431-1457.
  • 18. Guminiak M., Okupniak B., Sygulski R.: Analysis of piąte bending by boundary element method, 2nd European Conference on Computational Mcchanics ECCM-2001, June 26-29, Cracow, Poland, l, 2001, 176-177.
  • 19. Guminiak M.: Application of the boundary element method in static analysis of thin plates (in Polish), 3nd Scientific Conference of PhD Students of Civil Engineering, Gliwicc-Wisła, 21-22 November, 2002, Silcsian University of Technology, Poland, 223-232.
  • 20. Okupniak B, Sygulski R.: Non-singular BEM analysis of Reissner plates, Proceedings of 15* International Conference on Computer Methods in Mechanics CMM-2003, 3-6 June 2003, Gliwice/Beskidy Mountains, Poland, 265-266.
  • 21. Woźnica K.: Yibration and bending of rectangular plates supported punctu-ally (in Polish), PhD Thcsis, Warsaw University of Technology, Faculty ofCivil Engineering, 1978.
  • 22. Guminiak M.: Thin plates analysis by the boundary element method using new formulation of a boundary condition (in Polish), PhD Thesis, Poznań University of Technology, Poznań, Poland, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0077-0011
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