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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-7pp.6478-6492

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Shengyong Ye and Longwei Geng, "Transient Dynamic Behavior of Vehicle Braking on Mixed-μ Road," Mech. Solids. 60 (7), 6478-6492 (2025)
Year 2025 Volume 60 Number 7 Pages 6478-6492
DOI 10.1134/S0025654425605440
Title Transient Dynamic Behavior of Vehicle Braking on Mixed-μ Road
Author(s) Shengyong Ye (School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan, 232038 China;Human-computer collaborative robot Joint Laboratory of Anhui Province, Huainan, 232038 China, yeshengy77@163.com)
Longwei Geng (School of Automotive Engineering, Yancheng Institute of Technology, Yancheng, 224051 China)
Abstract Variations in road adhesion conditions exert a significant influence on the dynamic performance of vehicles, primarily due to alterations in the maximum tire force achievable by the tires. In this paper, the transient dynamic behavior of vehicle braking on a road with sudden changes in road friction coefficient is studied. Particularly, the transient changes in tire force when crossing road boundaries are detailed during model establishment. Taking into account the asynchronous changes in tire force among individual wheels, the transient dynamic behavior and tire force characteristics of vehicle braking on mixed-μ road are analyzed. The tire force saturation and vehicle loss of control when tire total sliding occurs are discussed, and the calculation expression for the corresponding critical conditions are derived. The lateral motion, yaw motion, and trajectory deviation resulting from asynchronous changes in the longitudinal forces of the tires on both sides of the vehicle are analyzed. The conclusions of this paper provide theoretical reference for the analysis of vehicle braking performance in complex scenarios, and the derived critical condition of tire force saturation can be used as the boundary constraint of ABS control.
Keywords Vehicle dynamics, braking, transient, mixed-μ road, wheel lock
Received 02 October 2025Revised 02 November 2025Accepted 02 November 2025
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