Analise tridimensional de edificios por elementos finitos utilizando programação orientada a objetos

AUTOR(ES)
DATA DE PUBLICAÇÃO

1997

RESUMO

This thesis is concerned with the analysis of buildings using a discrete technique based on the finite element method, via process of displacement, where the structure is idealized as a three dimensional association of beams, slabs and columns. The slabs are discretized with plate finite elements of four nodes. The columns and beams are modelled by unidimensional finite elements submitted to flexure. Based on the paradigm of the orientation to objects and using the computational environrnent PZ, a series of routines were created: "classes" and "methods", which permitted the evaluation of deformations and strains in the three dimensional analysis of structures. The scientific computational environment PZ, written in the C++ programming language, is a multiple purpose computational tool prepared for the simulation, via the finite element method, of mathematical and engineering problems, where the phenomenon to be analysed can be represented by a system of partial differential equations. ln such environment, using the concept of class hierarchy, variational formulations that express the strains in bar and plate elements by the generation of classes derived from "materials" were implemented. The classes named TTimoshenko and TPlateReissner derived from an abstract class named TMaterial existing in the PZ environment were implemented. The bar and plate elements were modelled taking into account the Theory of Timoshenko and the Theory of Reissner-Mindlin, respectively, with the membrane effect taken into consideration in the formulation.membrane effect was also associated in the formulation. Considering the generality of the formulation, both the bar and plate elements can assume arbitrary geometric shapes.The bar element was conceived with six nodal degrees of freedom in order to allow the coupling with the plate element, which also has six nodal degrees of freedom: three translations and three rotations. A pre-processor based on input files created by the programme Ansys was prepared. To the visualization of the results some "methods" allow the the preparation of files containing the answers of the analysed structure that are suitable to be interpreted by softwares of graphic visualization. The examples presented to confirm the validation of the present computational implementation where always compared with the results obtained with similar simulations realized by the software Ansys

ASSUNTO(S)

teoria das estruturas barras (engenharia) metodo dos elementos finitos placas e cascas elasticas

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