A new procedure for post-buckling analysis of plane trusses using genetic algorithm

Alireza Habibi | Shaahin Bidmeshki

---

URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=158917
Date :  2021/09/15
Publish in :    Steel and Composite Structures


Keywords :buckling; genetic algorithm; geometric nonlinearity; limit points; minimization; truss

Abstract :

---

In this research, a new minimization-based controlled method was proposed to analyze steel plane truss structures undergoing large deformations. Non-linear solution was acquired by minimizing a constrained optimization problem via the genetic algorithm. The suggested procedure can directly predict buckling load and its corresponding displacements, and precisely trace equilibrium path of geometrically non-linear plane truss structures. A computer program was formed to anticipate both elastic pre- and post-buckling behaviors or any arbitrary point on equilibrium path of the structures subjected to abnormal loads. Notably, a load-deflection curve with multiple limit points and a complex snap-back phenomenon can be followed using the proposed method. Five truss examples were analyzed, and the acquired results were compared with those obtained by theoretical solution, modified arc-length, Newton-Raphson methods, and those reported in the literature to validate robustness and accuracy of the proposed procedure.