Optimized Design of Two-Dimensional Structures Using a Genetic Algorithm

A Mixed-Integer Linear Programming Approach for Global Discrete Size Optimization of Frame Structures

“…Equation (10) ensures that the force variables q ij become zero when profile j is not selected for member i (y ij = 0) and q ij = K ij T i L i u when profile j is selected for member i (y ij = 1).…”

“…In a regular finite element analysis, the global stiffness matrix K is assembled by replacing q ij in equation (5) with the expression given by equation (10). The resulting equilibrium equation can not be reformulated as a linear system of equations in terms of the design variables since the global stiffness matrix depends on the binary decision variables.…”

“…These methods include simulated annealing [9], genetic algorithms [10,11], ant colony optimization [12], firefly algorithm [13], artificial bee colony algorithm [14], and particle swarm optimization [15]. The general idea is to explore the design space in a random fashion, thereby using information collected from previous analyses to gradually move towards a better performing design.…”

Optimal design of cold-formed steel portal frames for stressed-skin action using genetic algorithm

“…This effectively transforms a constrained problem to an unconstrained one [37] and defines the fitness function used to assess the quality of the solutions the genetic algorithm evolves. The fitness function adopted here has the form: …”

Discrete Optimization Approach for Steel Frames and Trusses, Based on Genetic Algorithm

“…The solution to a general optimization process can be associated with this system behavior. The genetic algorithm (GA) is one of the best-known heuristic methods; it has been used to solve structural optimization problems by some researches such as Rajeev and Krishnamoorthy [2], Saka and Kameshki [3], Camp et al [4], Pezeshk et al [5], Erbatur et al [6], Shook et al [7], among many others.…”