When the parameters of material or size of structure are uncertain, the optimization result of the structure will also be uncertain. In this paper, interval mathematics is used to define the uncertain parameters, and the optimal mathematical model of the uncertain problem is established. The interval objective function with respect to the uncertain structural parameters is transformed into a deterministic function and the deterministic constraints are obtained from the uncertain interval finite element structural equation. The sparrow search algorithm is used to solve the uncertain structural optimization problem, chaos algorithm is adopted in order to enhance global search capability. The feasibility is proved by the example provided.
Meta-heuristic algorithms are effective methods for solving structural optimization problems. Among these meta- heuristic algorithms, Differential Evolution (DE) algorithm is a widely used global optimization method. In the process of searching for the optimal solution, the global search is carried out at the beginning. However, when the target is locked in a small range later, if the global search is still carried out, the speed of the program will be reduced, and the computational cost will be increased. In this paper, an improved DE algorithm is proposed, which adds dynamic control means into the evolutionary computation, and adjusts global and local search, so that the search ability and running speed of the algorithm are greatly improved. Applying this method to the optimization design of a tower structure, the lightest structure is obtained. It is also better than Genetic Algorithm (GA) in the effect of reducing structural weight. The optimization of the structure by applying this method proves the feasibility and effectiveness of this dynamic control strategy.
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