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Dynamic Arithmetic Optimization Algorithm for Truss Optimization Under Natural Frequency Constraints

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Bibliographic Details
Title: Dynamic Arithmetic Optimization Algorithm for Truss Optimization Under Natural Frequency Constraints
Authors: Seyedali Mirjalili
Publication Year: 2025
Collection: Torrens University Australia: Figshare
Subject Terms: Satisfiability and optimisation, Arithmetic, Dynamic arithmetic optimization algorithm (DAOA), Frequency constraints, Genetic algorithms, Heuristic algorithms, Licenses, Metaheuristics, Optimal design, Search problems, Time-frequency analysis, Truss structures
Description: Metaheuristic algorithms have successfully been used to solve any type of optimization problem in the field of structural engineering. The newly proposed Arithmetic Optimization Algorithm (AOA) has recently been presented for mathematical problems. The AOA is a metaheuristic that uses the main arithmetic operators’ distribution behavior, such as multiplication, division, subtraction, and addition in mathematics. In this paper, a dynamic version of the arithmetic optimization algorithm (DAOA) is presented. During an optimization process, a new candidate solution change to regulate exploration and exploitation in a dynamic version in each iteration. The most remarkable attribute of DAOA is that it does not need to make any effort to preliminary fine-tuning parameters relative to the most present metaheuristic. Also, the new accelerator functions are added for a better search phase. To evaluate the performance of both the AOA and its dynamic version, minimizing the weight of several truss structures under frequency bound is tested. These algorithms ’ efficiency is obtained by five classical engineering problems and optimizing different truss structures under various loading conditions and limitations.
Document Type: article in journal/newspaper
Language: unknown
Relation: https://figshare.com/articles/journal contribution/Dynamic_Arithmetic_Optimization_Algorithm_for_Truss_Optimization_Under_Natural_Frequency_Constraints/30144328
DOI: 10.1109/ACCESS.2022.3146374
Availability: https://doi.org/10.1109/ACCESS.2022.3146374
Rights: CC BY 4.0
Accession Number: edsbas.32C2C9BA
Database: BASE
Description
Abstract:Metaheuristic algorithms have successfully been used to solve any type of optimization problem in the field of structural engineering. The newly proposed Arithmetic Optimization Algorithm (AOA) has recently been presented for mathematical problems. The AOA is a metaheuristic that uses the main arithmetic operators’ distribution behavior, such as multiplication, division, subtraction, and addition in mathematics. In this paper, a dynamic version of the arithmetic optimization algorithm (DAOA) is presented. During an optimization process, a new candidate solution change to regulate exploration and exploitation in a dynamic version in each iteration. The most remarkable attribute of DAOA is that it does not need to make any effort to preliminary fine-tuning parameters relative to the most present metaheuristic. Also, the new accelerator functions are added for a better search phase. To evaluate the performance of both the AOA and its dynamic version, minimizing the weight of several truss structures under frequency bound is tested. These algorithms ’ efficiency is obtained by five classical engineering problems and optimizing different truss structures under various loading conditions and limitations.
DOI:10.1109/ACCESS.2022.3146374