Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles

This study employs four metaheuristic optimization methods to optimize the dimensional synthesis of Ackermann steering mechanisms for three-axle, six-wheeled vehicles with front-axle steering mode and reverse-phase steering mode. The employed optimization methods include Particle Swarm Optimization...

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Main Authors: Yaw-Hong Kang, Da-Chen Pang, Yi-Ching Zeng
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/2/800
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author Yaw-Hong Kang
Da-Chen Pang
Yi-Ching Zeng
author_facet Yaw-Hong Kang
Da-Chen Pang
Yi-Ching Zeng
author_sort Yaw-Hong Kang
collection DOAJ
description This study employs four metaheuristic optimization methods to optimize the dimensional synthesis of Ackermann steering mechanisms for three-axle, six-wheeled vehicles with front-axle steering mode and reverse-phase steering mode. The employed optimization methods include Particle Swarm Optimization (PSO), Hybrid Particle Swarm Optimization (HPSO), Differential Evolution with golden ratio (DE-gr), and Linearly Ensemble of Parameters and Mutation Strategies in Differential Evolution (L-EPSDE). With a front-wheel steering angle range of 70 degrees, two hundred optimization experiments were conducted for each method, and statistical analyses revealed that DE-gr and L-EPSDE methods outperformed PSO and HPSO methods in terms of standard deviation, mean value, and minimum error. These two methods exhibited superior convergence stability, faster convergence, and higher accuracy compared to PSO and HPSO. Reverse-phase (<i>K</i> = 1) steering mode outperformed front-axle steering mode, delivering reduced steering errors and turning radii. Considering the transmission ratio of front to rear axle (<i>K</i>) as a design variable in reverse-phase steering mode increased design flexibility and significantly lowered steering errors for the front and rear axle steering mechanisms. However, this comes with a slight increase in the turning radius of the vehicle’s front part compared to when <i>K</i> = 1. The optimized mechanism, designed using the DE-gr method, was validated through kinematic simulations and steering analyses using MSC-ADAMS v2015 software, further confirming the effectiveness and reliability of the proposed design.
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institution Kabale University
issn 2076-3417
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publishDate 2025-01-01
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series Applied Sciences
spelling doaj-art-7c26b83a2b8d4093820fd4f44f37c40c2025-01-24T13:20:52ZengMDPI AGApplied Sciences2076-34172025-01-0115280010.3390/app15020800Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled VehiclesYaw-Hong Kang0Da-Chen Pang1Yi-Ching Zeng2Department of Mechanical Engineering, National Kaohsiung University of Science and Technology, 415 Jian Gong Rd., Sanmin, Kaohsiung 80778, TaiwanDepartment of Mechanical Engineering, National Kaohsiung University of Science and Technology, 415 Jian Gong Rd., Sanmin, Kaohsiung 80778, TaiwanDepartment of Mechanical Engineering, National Kaohsiung University of Science and Technology, 415 Jian Gong Rd., Sanmin, Kaohsiung 80778, TaiwanThis study employs four metaheuristic optimization methods to optimize the dimensional synthesis of Ackermann steering mechanisms for three-axle, six-wheeled vehicles with front-axle steering mode and reverse-phase steering mode. The employed optimization methods include Particle Swarm Optimization (PSO), Hybrid Particle Swarm Optimization (HPSO), Differential Evolution with golden ratio (DE-gr), and Linearly Ensemble of Parameters and Mutation Strategies in Differential Evolution (L-EPSDE). With a front-wheel steering angle range of 70 degrees, two hundred optimization experiments were conducted for each method, and statistical analyses revealed that DE-gr and L-EPSDE methods outperformed PSO and HPSO methods in terms of standard deviation, mean value, and minimum error. These two methods exhibited superior convergence stability, faster convergence, and higher accuracy compared to PSO and HPSO. Reverse-phase (<i>K</i> = 1) steering mode outperformed front-axle steering mode, delivering reduced steering errors and turning radii. Considering the transmission ratio of front to rear axle (<i>K</i>) as a design variable in reverse-phase steering mode increased design flexibility and significantly lowered steering errors for the front and rear axle steering mechanisms. However, this comes with a slight increase in the turning radius of the vehicle’s front part compared to when <i>K</i> = 1. The optimized mechanism, designed using the DE-gr method, was validated through kinematic simulations and steering analyses using MSC-ADAMS v2015 software, further confirming the effectiveness and reliability of the proposed design.https://www.mdpi.com/2076-3417/15/2/800three-axle six-wheeled vehicleAckermann steering mechanismPSOHPSODE-grL-EPSDE
spellingShingle Yaw-Hong Kang
Da-Chen Pang
Yi-Ching Zeng
Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
Applied Sciences
three-axle six-wheeled vehicle
Ackermann steering mechanism
PSO
HPSO
DE-gr
L-EPSDE
title Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
title_full Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
title_fullStr Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
title_full_unstemmed Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
title_short Optimal Dimensional Synthesis of Ackermann Steering Mechanisms for Three-Axle, Six-Wheeled Vehicles
title_sort optimal dimensional synthesis of ackermann steering mechanisms for three axle six wheeled vehicles
topic three-axle six-wheeled vehicle
Ackermann steering mechanism
PSO
HPSO
DE-gr
L-EPSDE
url https://www.mdpi.com/2076-3417/15/2/800
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AT yichingzeng optimaldimensionalsynthesisofackermannsteeringmechanismsforthreeaxlesixwheeledvehicles