Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM

This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis frames. The process imposing boundary is developed by changing assembly stiffness equation to produce a modified system considering constraints. For two better methods are penalty augmentation and Lagrange multiplier adjunction method. But there not free disadvantages. Using has disadvantage choice appropriate weight values that balance solution accuracy with violation constraint conditions. requires additional unknowns, more complicated storage allocation procedures. research proposes connection between these for frame. Based Newton Raphson incremental-iterative algorithm solving balanced equations established.