Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
NUMERICAL PROCEDURE BASED ON FINITE ELEMENTS METHOD AND THEORY OF COSSERAT RODS FOR STRUCTURES SUBJECTED TO STATIC LOADS
Submission Author:
Rodrigo Guilherme Baptista , SP , Brazil
Co-Authors:
Rodrigo Guilherme Baptista, Thaísa Silvestre, Marcos Hiroshi Takahama, Adailton Borges
Presenter: Marcos Hiroshi Takahama
doi://10.26678/ABCM.COBEM2017.COB17-2807
Abstract
The present work aims to validate a numerical methodology that evaluates the displacement profile in beams subjected to static loads. This the nonlinear numerical finite element method and the Theory of Cosserat rod are the bases of the procedure. The main advantage of using the Cosserat theory is that it is geometrically accurate, which assists in the discretization of the equations of motion and the form functions are obtained from differential equations of static equilibrium, a determinant factor to consider all nonlinearities of the system. Thus, the accuracy of response is achieved more quickly, and the structure can be divided into a few elements, the number of which is much lower than a traditional analysis in which interpolation functions are often simpler as low order polynomials. For the validation, two cases were found in the literature and the results obtained by the respective authors were compared with the results achieved by the proposed methodology.
Keywords
Finite Elements, Theory of Cosserat Rods, Static loads
