Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-08-16T22:41:17Z No. of bitstreams: 1 JoaoPauloDeBarrosCavalcante_DISSERT.pdf: 25549974 bytes, checksum: 7d7077941a19b96d7263afec72ec7622 (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-08-23T23:20:29Z (GMT) No. of bitstreams: 1 JoaoPauloDeBarrosCavalcante_DISSERT.pdf: 25549974 bytes, checksum: 7d7077941a19b96d7263afec72ec7622 (MD5) / Made available in DSpace on 2016-08-23T23:20:29Z (GMT). No. of bitstreams: 1 JoaoPauloDeBarrosCavalcante_DISSERT.pdf: 25549974 bytes, checksum: 7d7077941a19b96d7263afec72ec7622 (MD5) Previous issue date: 2016-03-11 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES) / O presente trabalho consiste na an?lise num?rica via M?todo dos Elementos Finitos (MEF) de treli?as submetidas a carregamentos t?rmicos, mec?nicos e suas respectivas intera??es. A metodologia proposta baseia-se no teorema da m?nima energia potencial, escrita em rela??o as posi??es nodais ao inv?s dos deslocamentos para lidar com problemas termomec?nicos, levando-se em considera??o os efeitos das n?o linearidades f?sica e geom?trica. Referente aos problemas din?micos, a solu??o da equa??o de equil?brio ? alcan?ada atrav?s da discretiza??o temporal perante diferentes algoritmos de integra??o temporal, expl?citos e impl?citos. A formula??o ? estendida para problemas de impacto entre treli?as e anteparo r?gido, onde as posi??es nodais s?o restringidas atrav?s da condi??o de penetra??o nula. Sendo assim, apresenta-se uma formula??o termodinamicamente consistente, fundamentada na primeira e segunda lei da termodin?mica e na energia livre de Helmholtz, para analisar problemas din?micos de estruturas treli?adas com comportamento termoel?stico e termopl?stico. A implementa??o dos problemas consiste no desenvolvimento de rotinas computacionais, sendo os resultados num?ricos da formula??o proposta confrontados com exemplos encontrados na literatura especializada. / This work presents the numerical analysis of nonlinear trusses summited to thermomechanical actions with Finite Element Method (FEM). The proposed formulation is so-called positional FEM and it is based on the minimum potential energy theorem written according to nodal positions, instead of displacements. The study herein presented considers the effects of geometric and material nonlinearities. Related to dynamic problems, a comparison between different time integration algorithms is performed. The formulation is extended to impact problems between trusses and rigid wall, where the nodal positions are constrained considering nullpenetration condition. In addition, it is presented a thermodynamically consistent formulation, based on the first and second law of thermodynamics and the Helmholtz free-energy for analyzing dynamic problems of truss structures with thermoelastic and thermoplastic behavior. The numerical results of the proposed formulation are compared with examples found in the literature.