Finite Element Method applied to nonlinear analysis of Timoshenko-Vlasov beams.
Nonlinear Analysis, Finite Element Method, Beam Theory, Timoshenko-Vlasv Beams.
This research studies the Finite Element Method applied to the non linear analysis of the Timoshenko-Vlasov beam. Initially, the objective is to investigate the non linear formulation for tridimensional beams to simulate reticulated structures, taking into account the cross section warping effects as problem variables. A software will be developed using the C programming language for the structural analysis of the beams mentioned. The non linear constitutive equations utilized are based on Simo-Ciarlet material law. Several numerical examples are generated from the developed software to ilustrate the theory's validity, and following that, the obtained results are compared to similar problems modeled on the ANSYS comercial software, to evaluate the result's proximity. The obtained results suggest that the used formulations present satisfatory performance for the analysed examples.