Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
PHYSICAL NON-LINEAR ANALYSIS OF THE PLANE TRUSSES BY ITERATIVE METHODS WITH CUBIC CONVERGENCE
Submission Author:
Reinaldo Reis , MG , Brazil
Co-Authors:
Reinaldo Reis, Lidianne de Paula Pinto Mapa, Artur Ladeira
Presenter: Reinaldo Reis
doi://10.26678/ABCM.COBEM2019.COB2019-1625
Abstract
The nonlinear analysis of structural problems using numerical techniques has gained a notoriety due to the technological advance that possibility a lower computational cost with a satisfactory degree of safety when compared with experimental tests. The structural design of steel truss requires the collapse load and its response, applied load versus deformation. Currently, plane truss is used in many engineering practical application as more complex structures due to new materials with a higher resistance. Then, it is produced structures more economical due to the reducing of the materials demand and consequently the global cost, presenting a non-linear behavior in the relation stress versus deformation. Structures that have plastic behavior only after the yelding was modeled using a parameter for hardening module. The non-linear analysis can be analyzed by incremental-iterative method. The current work aim is compare the solution methods Newton-Raphson, Modified Newton-Raphson and Potra-Pták. To analyses the performance of the methods, steel trusses problems with physical non-linearity are analyzed by algorithms using Fi-nite Element Methods developed in Fortran90. The both Newton-Raphson methods are largely used in non-linear analysis and have quadratics convergence and the Potra-Pták is a new method that has cubic convergence. According with the result, the Potra-Pták method become an advantageous comparing to others iterative methods.
Keywords
Nonlinear Physical Analysis, Iterative Methods, SteelTrusses, hardening module
