Application of simplified curved boundary elements to the plate analysis. Part 2

• Autorzy: Guminiak M.
• Języki publikacji: EN

Abstrakty

EN

Static analysis of Kirchhoff plate by the Boundary Element Method is presented in the paper. The Bettie theorem is used to derive the boundary integral equation. Simplified curved elements are introduced. Modified approach of boundary integral equation formulation is adopted in which there is no need to introduce the equivalent shear forces at the boundary and concentrated forces at the plate corners. Two unknown and independent variables are considered at the boundary element node. The collocation version of boundary element method with singular and non-singular approach is presented.

Słowa kluczowe

EN

boundary element method; thin plates; static analysis

PL

metoda elementów brzegowych; cienkie płyty; analiza statyki

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 73--81
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Guminiak M.

• Institute of Structural Engineering, Poznan University of Technology, Poland,

Bibliografia

• [1] Burczyński T., The Boundary Element Method in Mechanics, Scientific, Technical Publishing House, Warszawa 1995 (in Polish).
• [2] Wrobel L.C., Aliabadi M.H., The Boundary Element Methods in Engineering, McGraw-Hill College 2002.
• [3] Okupniak B., Sygulski R., Non-singular BEM analysis of Reissner plates, CMM-2003 15th International Conference on Computer Methods in Mechanics, Gliwice/Wisła, June 3-6, 2003, Short Papers, s. 265-266, [w:] CD-ROM, Eds.: T. Burczyński, P. Fedeliński, E. Majchrzak.
• [4] Guminiak M., Thin plates analysis by the boundary element method using new formulation of a boundary condition (in Polish), PhD Thesis, Poznan University of Technology, Poznan, Poland, 2004.
• [5] 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, 1431-1457.
• [6] Bèzine G., Gamby D.A., A new integral equations formulation for plate bending problems, Advances in Boundary Element Method, Pentech Press, London 1978.
• [7] Timoshenko S., Woinowsky-Krieger S., Theory of plates and schells, Arkady Publishing House, Warszawa 1962.