Discrete optimization of geometrically nonlinear truss structures under stability constraints

1990 ◽  
Vol 2 (2) ◽  
pp. 125-131 ◽  
Author(s):  
M. Pyrz
Keyword(s):  
Discrete Optimization ◽  
Truss Structures ◽  
Geometrically Nonlinear

An Optimized Approach for Tracing Pre- and Post-Buckling Equilibrium Paths of Space Trusses

2019 ◽  
Vol 19 (04) ◽  
pp. 1950040
Author(s):  
Alireza Habibi ◽  
Shaahin Bidmeshki
Keyword(s):  
Nonlinear Behavior ◽  
Truss Structures ◽  
Equilibrium Path ◽  
Geometrically Nonlinear ◽  
Arc Length ◽  
Space Truss ◽  
Highly Nonlinear ◽  
Post Buckling ◽  
Space Trusses ◽  
Total Lagrangian Formulation

In this paper, a novel optimization-based method is proposed to analyze steel space truss structures undergoing large deformations. The geometric nonlinearity is considered using the total Lagrangian formulation. The nonlinear solution is obtained by introducing and minimizing an objective function subjected to the displacement-type constraints. The proposed approach can fully follow the equilibrium path of the geometrically nonlinear space truss structures not only before the limit point, but also after it, namely, including both the pre- and post-buckling paths. Moreover, a direct estimation of the buckling loads and their corresponding displacements is possible by using the method. Particularly, it has been shown that the equilibrium path of a structure with highly nonlinear behavior, multiple limit points, snap-through, and snap-back phenomena can be traced via the proposed algorithm. To demonstrate the accuracy, validity, and robustness of the proposed procedure, four benchmark truss examples are analyzed and the results compared with those by the modified arc-length method and those reported in the literature.

A new method of discrete optimization for cross-section selection of truss structures

2013 ◽  
Vol 46 (8) ◽  
pp. 1052-1073 ◽  
Author(s):  
Yongcun Zhang ◽  
Yupin Hou ◽  
Shutian Liu
Keyword(s):  
Cross Section ◽  
Discrete Optimization ◽  
New Method ◽  
Truss Structures ◽  
Selection Of
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