Aplicação da descrição cinemática co-rotacional na análise não-linear geométrica de estruturas discretizadas por elementos finitos de treliças, vigas e cascas / The application of the co-rotational kinematic description to the geometrically non-linear analysis of structures modeled by truss, beam and shell finite elements

AUTOR(ES)

Renato César Gavazza Memim

DATA DE PUBLICAÇÃO

2006

RESUMO

The co-rotational formulation was used as the kinematic description to evaluate the geometrically non-linear behavior of different types of structures on a static analysis. Along the current research, it was aimed to demonstrate the basic concepts of the co-rotational approach that is based on the separation of the total motion into rigid body and deformational motion, in order to study the behavior of different types of structures modeled by truss, beam and shell finite elements. In the study of trusses and plane frames, the transformation equations which allow the splitting of the rigid body and deformational motion could be obtained in a closed form, considering only purely geometric arguments. In the study of space frames and shells, the deformational motion was obtained using projector matrices, which are brought about through the use of software utilities as pre and post-processors to the element routines. Based on the numerical examples, it could be concluded that the co-rotational approach and its numerical implementation showed excellent agreement with benchmark results found by other researchers. It was also observed that indirect methods such as the CST -Current Stiffness Parameter and the change of the number of negative pivots of the tangent stiffness matrix were able to detect and classify with great precision the existence of critical points (limit or bifurcation) and turning points. The non-linear responses of the structures were obtained by different strategies, such as the cylindrical arc-length method, the normal plane method of Riks-Wempner and the updated normal plane method of Ramm. All these three strategies were combined with the full Newton-Raphson method.

ASSUNTO(S)

treliças, vigas e cascas não-linearidade geométrica co-rotational kinematic description engenharia civil teoria das estruturas geometrically non-linear analysis finite elements construção civil trusses, beams and shells. formulação co-rotacional elementos finitos (método dos)

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