Made available in DSpace on 2014-12-17T14:48:18Z (GMT). No. of bitstreams: 1 EstefaneGML_DISSERT.pdf: 1743429 bytes, checksum: 278db485c2938a47ce6dc5f0b6962c1f (MD5) 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