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Estudo de p?rticos planos n?o-lineares considerando os efeitos t?rmicos / A study of nonlinear 2D-frames considering thermic effectsSilva, Rafaela Lopes da 24 March 2017 (has links)
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Previous issue date: 2017-03-24 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES) / Este trabalho apresenta um estudo sobre a influ?ncia dos efeitos t?rmicos no comportamento din?mico de estruturas de p?rtico plano n?o lineares f?sicos e geom?tricos, nas quais esfor?os de flex?o e cisalhamento s?o predominantes. Uma formula??o fundamentada na primeira e segunda leis da termodin?mica e energia livre de Helmholtz ? apresentada neste trabalho para considerar os efeitos t?rmicos neste tipo de estrutura. Utiliza-se como ferramenta de an?lise estrutural o M?todo dos Elementos Finitos Posicional, que difere do m?todo convencional pelo simples fato de adotar como inc?gnitas as posi??es nodais, ao inv?s dos deslocamentos nodais. O problema n?o linear din?mico ? solucionado diante da combina??o do processo iterativo de Newton-Raphson com uma gama de algoritmos de integra??o temporal, expl?citos e impl?citos, sendo os resultados num?ricos confrontados com exemplos encontrados na literatura especializada. Como tamb?m, apresenta-se uma descri??o de uma t?cnica para solu??o de problemas de impacto. / This work presents a study considering the thermal effects in the dynamic behaviour of nonlinear 2D-frame structures (physical and geometric), in which the effects of bending and shear are predominant. A formulation based on the first and second laws of thermodynamic and the Helmholtz free-energy is presented in this work to consider the thermic effects on this type of structure. The Finite Element Method based on nodal positions, rather than nodal displacements, is used as structural analysis tool. The solution of the nonlinear dynamic problem is given through the combination of Newton-Raphson iterative process with several explicit and implicit time integration methods, wherein the numerical results are compared with the ones found on specialized literature. As well, it is presented a description of one technique to solution of impact problems.
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An?lise n?o-linear de treli?as pelo m?todo dos elementos finitos posicional / Nonlinear analysis of trusses using the positional finite element methodLacerda, Est?fane George Macedo de 28 February 2014 (has links)
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Previous issue date: 2014-02-28 / This work presents the positional nonlinear geometric formulation for trusses using different
strain measures. The positional formulation presents an alternative approach for nonlinear problems.
This formulation considers nodal positions as variables of the nonlinear system instead
of displacements (widely found in literature). The work also describes the arc-length method
used for tracing equilibrium paths with snap-through and snap-back. Numerical applications for
trusses already established in the literature and comparisons with other studies are provided
to prove the accuracy of the proposed formulation / Este trabalho apresenta a formula??o posicional n?o linear geom?trica para treli?as usando
diferentes medidas de deforma??o. A formula??o posicional ? uma abordagem alternativa
para problemas n?o lineares. Essa formula??o considera as posi??es nodais como vari?veis
do sistema n?o linear em vez dos deslocamentos (que ? largamente utilizado na literatura). O
trabalho tamb?m descreve o m?todo do comprimento de arco, usado para tra?ar caminhos de
equil?brio com snap-through e snap-back. Aplica??es num?ricas com treli?as j? consagradas
na literatura e compara??es com outros trabalhos s?o fornecidos para provar a acur?cia da
formula??o proposta
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