Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
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IssuesArchive of Issues2025-2pp.1194-1207

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O. El Mrimar, Z. El Haddad, O. Bendaou, and B. Samoudi, "Covariance Matrix Adaptation Evolution Strategy for Optimizing Truss Structures with Discrete Variables," Mech. Solids. 60 (2), 1194-1207 (2025)
Year 2025 Volume 60 Number 2 Pages 1194-1207
DOI 10.1134/S0025654424607055
Title Covariance Matrix Adaptation Evolution Strategy for Optimizing Truss Structures with Discrete Variables
Author(s) O. El Mrimar (Optics, Materials and Systems Team, FS, Abdelmalek Essaadi University, Tetouan, 93002 Morocco, ouadieelmrimar@gmail.com)
Z. El Haddad (Optics, Materials and Systems Team, FS, Abdelmalek Essaadi University, Tetouan, 93002 Morocco, zakaria_elhaddad@hotmail.fr)
O. Bendaou (Optics, Materials and Systems Team, FS, Abdelmalek Essaadi University, Tetouan, 93002 Morocco, o.bendaou@uae.ac.ma)
B. Samoudi (Optics, Materials and Systems Team, FS, Abdelmalek Essaadi University, Tetouan, 93002 Morocco, b.samoudi@uae.ac.ma)
Abstract This article presents an optimization approach utilizing the Covariance Matrix Adaptation Evolution Strategy algorithm (CMA-ES) for the optimal design of truss structures with discrete variables under various loading conditions. The model uses CMA-ES to optimize design variables, specifically the cross-sectional areas of the truss bars. Evaluation data are generated by testing different cross-sectional configurations through structural analysis of the trusses, with the aim of minimizing the mass of the structure while respecting stress and displacement limits. CMA-ES is then employed to efficiently navigate the design space and identify the optimal configuration. This method was applied to three planar and spatial truss examples, with results compared to literature studies to validate the approach’s effectiveness and robustness. The optimization results highlight the exceptional performance of the CMA-ES algorithm in achieving optimal solutions and demonstrating efficient convergence behavior.
Keywords CMA-ES algorithm, optimization, truss structures, optimal design
Received 15 December 2024Revised 24 February 2025Accepted 25 February 2025
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