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汽车转向制动分岔的耦合特征分析OA

Analysis of vehicle steering and braking coupling bifurcation characteristics

中文摘要英文摘要

为研究汽车转向制动非线性耦合动力学及分岔特征,以五自由度转向制动汽车动力学模型为基础,采用以正弦规律变化的转角作为车辆前轮转向角的输入量,并以正弦转角变量及其微分关系,将五自由度模型转化并扩展到相应的七自由度自治系统模型,分析了前轮转角幅值和制动力矩对汽车转向制动耦合工况下非线性动力学分岔行为的影响机理.通过相空间、庞加莱截面、状态变量时间序列和李雅普诺夫指数谱揭示了前轮转角幅值和制动力矩对转向制动分岔特征影响的动力学演变过程,在此基础上进一步分析了转向制动分岔的耦合特征.结果表明:在转向和制动的协同作用下,前轮转角幅值和制动力矩 2 个参数对系统的分岔行为以及动力学演变过程具有显著的影响作用,且二者之间存在非线性耦合关系.

This paper investigates the nonlinear coupled dynamics and bifurcation characteristics of vehicle steering-braking systems.Based on a five-degree-of-freedom(5DOF)steering-braking vehicle dynamics model,a sinusoidally varying steering angle is adopted as the front wheel input,and the 5DOF model is transformed and extended into a seven-degree-of-freedom(7DOF)autonomous system by incorporating the steering angle variable and its differential relationships.The effects of front wheel steering angle amplitude and braking torque on nonlinear bifurcation behavior under coupled steering-braking conditions are analyzed.By employing phase portraits,Poincaré sections,state variable time series,and Lyapunov exponent spectra,the dynamics evolution processes affected by these two parameters are investigated.Furthermore,the coupling characteristics of steering-braking bifurcation are further explored.Results indicate both steering angle amplitude and braking torque exert significant impacts on the system's bifurcation behavior and dynamic evolution.Moreover,there exists a nonlinear coupling relationship between them.

王宪彬;张英哲;包文龙;韩秋圆;冯文文

东北林业大学 土木与交通学院,哈尔滨 150040东北林业大学 土木与交通学院,哈尔滨 150040资阳中车电力机车有限公司,四川 资阳 641300东北林业大学 土木与交通学院,哈尔滨 150040东北林业大学 土木与交通学院,哈尔滨 150040

交通工程

汽车非线性动力学前轮转角幅值制动力矩分岔动力学演变过程

vehicle nonlinear dynamicsfront-wheel steering angle amplitudebraking torquebifurcationdynamics evolution process

《重庆理工大学学报》 2026 (7)

19-31,13

国家自然科学基金项目(52175497)黑龙江省重点研发计划(JD22A014)

10.3969/j.issn.1674-8425(z).2026.04.003

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