Application of Direct Integration Methods in the solution of a nonlinear beam problem

Application of Direct Integration Methods in the solution of a nonlinear beam problem

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This work applies different numerical methods involved in the solution of a nonlinear clamped beam problem. The methodology used in the discretization of the dynamic problem is based on the Finite Element Method (FEM), followed by mode superposition, where a localized nonlinearity is applied at the...

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Bibliographic Details
Main Authors: Raul Carreira Rufato, Santos Alberto Enriquez-Remigio, Tobias Souza Morais
Format: Article
Language:Portuguese
Published: Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) 2021-01-01
Series:REMAT
Subjects:
Numerical Methods
Finite Element Method
Mode Superposition
Online Access:https://www.periodicos.ifrs.edu.br/index.php/REMAT/article/view/4277
Description
Summary:This work applies different numerical methods involved in the solution of a nonlinear clamped beam problem. The methodology used in the discretization of the dynamic problem is based on the Finite Element Method (FEM), followed by mode superposition, where a localized nonlinearity is applied at the free end of the beam. The solution of the nonlinear problem is performed by five different integration methods. The solution code is implemented in FORTRAN language, validated with ANSYS and the dynamic response and the graphs are obtained with the help of MATLAB software. The work shows the convergence of the implemented methods with various validation problems.
ISSN:2447-2689

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