The initial stability of Kirchhoff plates by the boundary element method using a modified formulation of a boundary condition

• Autorzy: Guminiak M. , Sygulski R.
• Języki publikacji: EN

Abstrakty

EN

The initial stability of 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 a plate boundary. Two unknown variables are considered at the boundary element node. The boundary integral equations are derived using Bettie theorem. The collocation points arc located slightly outside a plate boundary, hence the quasi-diagonal integrals of fundamental functions arc non-singular. [3], [5], [6], [7], [8]. The constant type of boundary element has been used.

Słowa kluczowe

EN

boundary element method; Kirchhoff plates; initial stability; fundamental solution

PL

metoda elementów brzegowych; płyta Kirchhoffa; stabilność początkowa

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Civil and Environmental Engineering
• Rocznik: 2006
• Tom: No. 7
• Strony: 171--186
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Guminiak M.

autor

Sygulski R.

• Institute of Structural Engineering, Piotrowo 5, 61-138 Poznań Tel.: [phone]; fax: [phone],

Bibliografia

• 1. Girkmann K.: Planc Girders (in Polish), Warszawa, Arkady 1957.
• 2. Timoshenko S., Woinowsky-Krieger S.: Theory of plater and shells, Warszawa, Arkady 1962.
• 3. Hartley G. A.: Development of piąte bending elements for frame analysis, Engincering Analysis with Boundary Element, 17, 2 (1997) 93-104.
• 4. Shi G.: Flexural vibration and buckling analysis of orthotropic plates by the boundary element method, Int. J. Solids Structures, 12, 26, (1990), 1351-1370.
• 5. Guminiak M., Okupniak B., Sygulski R.: Analysis of piąte bending by boundary element method, 2nd European Confcrencc on Computational Mechanics ECCM-2001, June 26-29, Cracow, Poland, Vol. l, 2001, 176-177.
• 6. Guminiak M.: Application of thc boundary element method in static analysis of thin plates (in Polish), 3nd Scientific Conference of PhD Students of Civil Engineering, Gliwice-Wisła, 21-22 November, 2002, Silesian University of Technology, Poland, 223-232.
• 7. Guminiak M., Sygulski R.: Initial stability of thin plates by the boundary element method (in Polish), Stability of Structuires Xth Simposium, Zakopane, 8-12 September, 2003, Technical University of Lodź, Poland, 173-180.
• 8. 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.