An initial stability of plates in various conservative load conditions by the Boundary Element Method

• Autorzy: Guminiak M.

Identyfikatory

DOI

10.17512/jamcm.2015.3.03

• Języki publikacji: EN

Abstrakty

EN

An initial stability of Kirchhoff plates by the Boundary Element Method (BEM) is presented in the paper. A plate is subjected by external in-plane normal and tangential conservative loadings acting in two perpendicular directions. The Betti’s theorem is used to derive the boundary-domain integral equations. The direct version of the Boundary Element Method is presented with combination to simplified boundary conditions. The singular and non-singular approach of the boundary integrals derivation is used.

Słowa kluczowe

EN

initial stability of plates; boundary element method; fundamental solutions

PL

metoda elementów brzegowych; rozwiązania podstawowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 3
• Strony: 25--36
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Guminiak M.

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

Bibliografia

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• [2] Bèzine G., A boundary integral equation method for plate flexure with condition inside the domain, International Journal of Numerical Method in Engineering 1981, 15, 1647-1657.
• [3] Nerantzaki M.S., Katsikadelis J.T., Buckling of plates with variable thickness - An Analog Equation Solution, Engineering Analysis with Boundary Elements 1996, 18, 2, 149-154
• [4] Katsikadelis J.T., The analog equation method. A powerful BEM-based solution technique for solving linear and nonlinear engineering problems, [in:] Boundary Element Method XVI, ed. C.A. Brebbia, Computational Mechanics Publications, Southampton 1994, 167-182.
• [5] Chinnaboon B., Chucheepsakul S., Katsikadelis J.T., A BEM - based meshless method for buckling analysis of elastic plates with various boundary conditions, International Journal of Structural Stability and Dynamics 2007, 7, 1, 81-89.
• [6] Katsikadelis J.T., Babouskos N.G., Nonlinear flutter instability of thin damped plates: A solution by the analog equation method, Journal of Mechanics of Materials and Structures 2009, 4, 7-8, 1395-1414.
• [7] Guminiak M., Sygulski R., Initial stability of Kirchhoff plates by the boundary element method using a modified formulation of a boundary condition, Foundations of Civil and Environmental Engineering 2006, 7, 171-186.
• [8] Guminiak M., An alternative approach of initial stability analysis of Kirchhoff plates by the Boundary Element Method, Engineering Transactions 2014, 62, 1, 33-59.
• [9] Katsikadelis J.T., ΣYNOPIAKA ΣTOIXEIA, Toµoς II: Aνάλυση Πλακών, 2η Eκδoση, EMΠ 2010 (Boundary Elements, Vol. II, Analysis of Plates, Second Edition, NTUA, Athens 2010 ).
• [10] Timoshenko S.P., Gere J.M., Theory of Elastic Stability, Arkady, Warszawa 1962.