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Abstrakty
An initial stability of internally supported Kirchhoff plates has been analysed 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. Two unknown variables are considered at the boundary clement node. The boundary integral equation is derived using the Bettie theorem. The collocation points arc located slightly outside the plate boundary, hence the quasi-diagonal integrals of fundamental functions are non-singular. The constant type of boundary clement is used.
Rocznik
Tom
Strony
51--67
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
autor
- Institute of Structural Engineering, Piotrowo 5, 61-138 Poznań Tel.: + 48-61-665-2475; fax: +48-61-665-2059, michal.guminiak@ikb.poznan.pl
Bibliografia
- 1. Bezine G.: A boundary integral equation method for plate flexure with condition inside the domain, Int. J. Num. Meth. Engng. 15 (1981), 1647-1657.
- 2. de Paiva J.B., Vcnturini W.S.: Boundary element algorithm for building floor slab analysis, In International Conference of BETECH 85, Adelaide, Australia, Brebbia C.A., Noye BJ. (eds), Computational Mechanics Publications (1985), 201-209.
- 3. de Paiva J.B., Venmrini W.S.: Analysis of building structures considering plate-beam-column interactions, In International Conference of BETECH 87, Rio de Janeiro, Brazil, Brebbia C.A., Venturini W.S. (eds), Computational Mechanics Publications (1987), 209-219.
- 4. Hartmann F., Zotemantel R.: The direct boundary element method in plate bending, Int. J. Num. Meth. Engng., 23 (1986), 2049-2069.
- 5. Abdel-Akhcr A., Hartley G. A.: Evaluation of boundary integrals for plate bending. Int. J. Num. Meth. Engng., 28 (1989), 75-93.
- 6. Rashed Y. F.: A coupled BEM-flexibility force method for bending analysis of internally supported plates. Int. J. Num. Meth. Engng., 54 (2002), 1431-1457.
- 7. Shi G.: Flexural vibration and buckling analysis of orthotropic plates by the boundary clement method, Int. J. Solids Structures, 12, 26, (1990), 1351-1370.
- 8. Guminiak M, Sygulski R.: The analysis of internally supported thin plates by the boundary element method. Part 1 - Static analysis. Foundation of Civil and Environmental Engineering, 9, (2007), 17-41.
- 9. Guminiak M, Sygulski R.: The analysis of internally supported thin plates by the boundary element method. Part 2 - Free vibration analysis. Foundation of Civil and Environmental Engineering, 9, (2007), 43-74.
- 10. 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.
- 11. Hartley G. A.: Development of plate bending elements for frame analysis, Engineering Analysis with Boundary Element, 17, 2 (1997) 93-104.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0081-0004