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International Journal of Automotive Technology > Volume 27(4); 2026 > Article
International Journal of Automotive Technology 2026;27(4): 1703-1719.
doi: https://doi.org/10.1007/s12239-025-00386-7
Analytical Modeling and Analysis of the Stiffness of an Electromechanical Brake
Ben Zhang1, Zun Yan Hu1, Ke Han Yan1, Jian Qiu Li1, Qian Zhang2, Liang Fei Xu1, Ming Gao1, Ou Yang1
1School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China
2School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300401, China
PDF Links Corresponding Author.  Jian Qiu Li , Email. lijianqiu@tsinghua.edu.cn
Received: February 26, 2025; Revised: September 16, 2025   Accepted: October 8, 2025.  Published online: December 4, 2025.
ABSTRACT
The electromechanical brake (EMB) offers rapid response and high control precision, marking it as a crucial development direction for the next-generation Brake-by-Wire system. Compared to the pneumatic brake and hydraulic brake, the EMB features a considerably more complex mechanical system, resulting in more pronounced elastic dynamic processes when acting at high speed. For precise dynamic simulations, it is essential to delve into component-level stiffness models. This paper conducts an analytical modeling study of EMB stiffness. Experimental measurements were carried out to determine the stiffness of the EMB. To address the challenge of performing series and parallel stiffness calculations for components with different motion forms and gear ratios in the EMB, we introduce the concept of equivalent stiffness under a unified coordinate system. We then present the analytical modeling methods for the stiffness of each component in the EMB, resulting in a complete analytical stiffness model. The model is experimentally validated, with the maximum error of clamping force being 947 N, and the relative error is 1.64%, which indicates that it is suitable for further application in precise dynamic modeling and simulation.
Key Words: Analytical model · Component stiffness · Electromechanical brake modeling · Equivalent stiffness · Stiffness dominance analysis

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