Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
OPTIMIZING TRUSS STRUCTURES WITH NATURAL FREQUENCY CONSTRAINTS USING THE CROSS-ENTROPY METHOD
Submission Author:
Marcos Vinicius dos Santos Issa , RJ , Brazil
Co-Authors:
Marcos Vinicius dos Santos Issa, Americo Barbosa da Cunha Junior, Francisco José Soeiro, Anderson Pereira
Presenter: Marcos Vinicius dos Santos Issa
doi://10.26678/ABCM.COBEM2023.COB2023-1117
Abstract
This work addresses the challenging problem of structural optimization, specifically focusing on minimizing the mass of a structure while satisfying constraints related to natural frequencies. Traditional optimization methods that rely on gradient information are not suitable for such complex problems. To overcome this limitation, metaheuristic methods have emerged as effective alternatives. In this study, we propose a novel framework that employs the Cross-Entropy (CE) method, a powerful Monte Carlo technique for handling non-convex optimization problems. By applying the CE method to optimize structural trusses as benchmark tests, we compare its performance with a gradient-based method and a genetic algorithm (GA). Through numerical experiments, we demonstrate that the CE method provides accurate and computationally efficient solutions, outperforming other metaheuristic optimization methods. This research highlights the efficacy of the CE method as a valuable tool for addressing non-convex structural optimization problems, enabling efficient solutions with natural frequency constraints.
Keywords
structural optimization, non-convex optimization, stochastic simulation
