基于Matlab的FSAE赛车制动比的优化

Optimization of FSAE Racing Braking Ratio Based on Matlab

针对赛车制动系统在行驶中存在的安全问题,本文通过对赛车制动系统进行受力分析,在满足理想制动力分配曲线的基础上,以尽量避免后轮先抱死为原则建立约束条件,并利用Matlab优化工具箱7.0的Fmincon函数对目标函数进行优化分析,得到最优制动力的分配比。同时,利用相关公式,用求得赛车制动时最大减速度和最大制动力进行优化结果的验证,结果表明,制动比分配优化后,赛车的最大减速度为7.258m/s2,制动距离为42.9m,满足制动法规对制动减速度、制动距离的相关要求。该方法使优化后赛车制动时的方向稳定性更好,附着条件利用程度更高。该研究对赛车制动系统的设计有积极的指导意义。

For the safety problem of the braking system in moving racing, we analyze the racing brake system stress in this paper, establishing constraints based on the principle of avoiding locking the rear wheel first and the ideal braking force distribution curve. Using matlab optimization toolbox 7.0 fmincon function to optimize the objective function, we get the optimal braking force distribution ratio. Finally,by using the related formula and the maximum braking deceleration and maximum braking force of racing, we test the result. The result shows that after the braking distribution ratio was optimized, the maximum deceleration of racing is 7. 258 m/s2 ,and braking distance is 42.9 m. This meets the braking regulations requirements on braking deceleration and braking distance. Using the optimized braking ratio to design the braking sys- tem,the racing will be more stable when braking and use of a higher degree of the attached condition. The study has a positive significance on designing the racing braking system.