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Article

Dynamics Modeling and Suspension Parameters Optimization of Vehicle System Based on Reduced Multibody System Transfer Matrix Method

1
Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, China
2
National Key Laboratory of Complex Multibody System Dynamics, Nanjing 210094, China
*
Author to whom correspondence should be addressed.
Machines 2025, 13(2), 116; https://doi.org/10.3390/machines13020116
Submission received: 31 December 2024 / Revised: 29 January 2025 / Accepted: 31 January 2025 / Published: 2 February 2025
(This article belongs to the Section Vehicle Engineering)

Abstract

This study introduces an innovative vehicle-modeling framework based on the Reduced Multibody System Transfer Matrix Method, incorporating wheel–ground contact and friction to analyze dynamic performance metrics, including vertical acceleration, suspension deflection, and angular acceleration. The model is applied to simulate vehicle behavior at 40 km/h on Class D road conditions. To enhance dynamic characteristics, suspension parameters were optimized using the NSGA-II algorithm. The optimization process achieved significant reductions in vertical acceleration (24.12%), suspension deflection (25.98%), and angular acceleration (4.93%). The Pareto frontier facilitated the selection of a representative solution that balances smoothness, stability, and suspension performance. Frequency, PSD, and RMS analyses were performed under different road conditions and speeds to verify the robustness of the optimization results. The application of the transfer matrix method is extended to vehicle suspension modeling and optimization, offering valuable insights into improving ride comfort and stability. Additionally, it highlights the effectiveness of advanced multi-objective optimization techniques in improving vehicle dynamics and provides a robust methodology for practical applications.
Keywords: vehicle dynamics; transfer matrix method; NSGA-II; suspension optimization vehicle dynamics; transfer matrix method; NSGA-II; suspension optimization

Share and Cite

MDPI and ACS Style

Hu, S.; Rui, X.; Gu, J.; Zhang, X. Dynamics Modeling and Suspension Parameters Optimization of Vehicle System Based on Reduced Multibody System Transfer Matrix Method. Machines 2025, 13, 116. https://doi.org/10.3390/machines13020116

AMA Style

Hu S, Rui X, Gu J, Zhang X. Dynamics Modeling and Suspension Parameters Optimization of Vehicle System Based on Reduced Multibody System Transfer Matrix Method. Machines. 2025; 13(2):116. https://doi.org/10.3390/machines13020116

Chicago/Turabian Style

Hu, Shaoheng, Xiaoting Rui, Junjie Gu, and Xizhe Zhang. 2025. "Dynamics Modeling and Suspension Parameters Optimization of Vehicle System Based on Reduced Multibody System Transfer Matrix Method" Machines 13, no. 2: 116. https://doi.org/10.3390/machines13020116

APA Style

Hu, S., Rui, X., Gu, J., & Zhang, X. (2025). Dynamics Modeling and Suspension Parameters Optimization of Vehicle System Based on Reduced Multibody System Transfer Matrix Method. Machines, 13(2), 116. https://doi.org/10.3390/machines13020116

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