Initial stability analysis of plates considering continuous internal supports by the BEM

• Autorzy: Guminiak M.
• Języki publikacji: EN

Abstrakty

EN

An initial stability of Kirchhoff plates is presented in the paper. Using proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown and independent variables are considered at the boundary element node. The Bettie theorem is used to derive the boundary integral equation. The collocation version of boundary element method with "constant" type of elements is presented. The source points are located slightly outside a plate boundary, hence the quasi diagonal integrals of fundamental functions are non-singular. To describe a plate curvature, the set of internal collocation points is introduced.

Słowa kluczowe

EN

initial stability; thin plates; boundary element method; boundary integral equations

PL

metoda elementów brzegowych; brzegowe równania całkowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 47--62
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Guminiak M.

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

Bibliografia

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• [9] 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 2007, 9, 17-41.
• [10] 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 2007, 9, 43-74.
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