Dynamic Arithmetic Optimization Algorithm for Truss Optimization Under Natural Frequency Constraints

doi:10.1109/ACCESS.2022.3146374

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Dynamic Arithmetic Optimization Algorithm for Truss Optimization Under Natural Frequency Constraints

2022-01-01

Nima Khodadadi

Václav Snåšel

Seyedali Mirjalili *

DOI：10.1109/ACCESS.2022.3146374

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Abstract

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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.

Keywords:

Heuristic algorithms

Arithmetic

Metaheuristics

Search problems

Time-frequency analysis

Licenses

Genetic algorithms

Dynamic arithmetic optimization algorithm

DAOA

frequency constraints

optimal design