BEM Formulations Based on Kirchhoff's Hypoyhesis to Perform Linear Bending Analysis of Plates Reinforced by Beams
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Data
2007-01-01
Autores
Fernandes, Gabriela R. [UNESP]
Denadai, Renato F. [UNESP]
Denipotti, Guido J. [UNESP]
Título da Revista
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Título de Volume
Editor
World Acad Sci, Eng & Tech-waset
Resumo
In this work, are discussed two formulations of the boundary element method - BEM to perform linear bending analysis of plates reinforced by beams. Both formulations are based on the Kirchhoffs hypothesis and they are obtained from the reciprocity theorem applied to zoned plates, where each sub-region defines a beam or a stab. In the first model the problem values are defined along the interfaces and the external boundary. Then, in order to reduce the number of degrees of freedom kinematics hypothesis are assumed along the beam cross section, leading to a second formulation where the collocation points are defined along the beam skeleton, instead of being placed on interfaces. on these formulations no approximation of the generalized forces along the interface is required. Moreover, compatibility and equilibrium conditions along the interface are automatically imposed by the integral equation. Thus, these formulations require less approximation and the total number of the degrees of freedom is reduced. In the numerical examples are discussed the differences between these two BEM formulations, comparing as well the results to a well-known finite element code.
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Palavras-chave
Boundary elements, Building floor structures, Plate bending
Como citar
Proceedings of World Academy of Science, Engineering and Technology, Vol 20. Canakkale: World Acad Sci, Eng & Tech-waset, v. 20, p. 73-78, 2007.