Ant colony algorithms for nonlinear analyses, simultaneous analysis-design, and optimal design of structures

摘要

In this paper nonlinear analysis of structures considering material and geometric nonlinearity arernperformed using the force method and ant colony optimization (ACO) algorithms. For this purpose, the complementaryrnenergy of the structure is minimized using ACO algorithms. A new formulation of the complementaryrnenergy of truss and frame structures for nonlinear analysis is presented. Considering the energy term next tornthe weight of the structure, optimal design of structures is performed. Finally simultaneous analysis-designrnof structures is formulated and applied to truss and frame structures. Each method is accompanied by simplernexamples for clear illustration and showing the efficiency. The comparison betweenACO and other optimizationrnalgorithms shows that the ACO leads in better results in less computational time and iterations.