E3S Web Conf.
Volume 281, 2021IV International Scientific Conference “Construction and Architecture: Theory and Practice of Innovative Development” (CATPID-2021 Part 1)
|Number of page(s)||7|
|Section||Structural Mechanics and Structural Theory, Civil and Industrial Construction|
|Published online||02 July 2021|
Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM
Faculty of Civil Engineering, Hanoi Architectural University, Km 10, Nguyentrai, Hanoi, Vietnam
* Corresponding author: email@example.com
This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to produce a modified system of equation considering nonlinear multi freedom constraints. For imposing the nonlinear constraints two better methods are the penalty augmentation method and Lagrange multiplier adjunction method. But there are not free of disadvantages. Using penalty method has a disadvantage in the choice appropriate weight values that balance solution accuracy with the violation of constraint conditions. Using the Lagrange multiplier adjunction method requires additional unknowns, and more complicated storage allocation procedures. This research proposes the connection between these methods using the augmented Lagrangian method for imposing the nonlinear multi freedom constraints in finite element analysis of frame. Based on the Newton Raphson method the incremental-iterative algorithm for solving the nonlinear balanced equations is established.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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