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The paper proposes a novel adaptive search space decomposition method and anovel gradient-free optimization-based formulation for the pre- andpost-buckling analyses of space truss structures. Space trusses are oftenemployed in structural engineering to build large steel constructions, such asbridges and domes, whose structural response is characterized by largedisplacements. Therefore, these structures are vulnerable to progressivecollapses due to local or global buckling effects, leading to sudden failures.The method proposed in this paper allows the analysis of the load-equilibriumpath of truss structures to permanent and variable loading, including stableand unstable equilibrium stages and explicitly considering geometricnonlinearities. The goal of this work is to determine these equilibrium stagesvia optimization of the Lagrangian kinematic parameters of the system,determining the global equilibrium. However, this optimization problem isnon-trivial due to the undefined parameter domain and the sensitivity andinteraction among the Lagrangian parameters. Therefore, we propose formulatingthis problem as a nonlinear, multimodal, unconstrained, continuous optimizationproblem and develop a novel adaptive search space decomposition method, whichprogressively and adaptively re-defines the search domain (hypersphere) toevaluate the equilibrium of the system using a gradient-free optimizationalgorithm. We tackle three benchmark problems and evaluate a medium-sized testrepresenting a real structural problem in this paper. The results are comparedto those available in the literature regarding displacement-load curves anddeformed configurations. The accuracy and robustness of the adopted methodologyshow a high potential of gradient-free algorithms in analyzing space trussstructures.

Adaptive search space decomposition method for pre- and post- buckling analyses of space truss structures