Uncertainties in parameters can affect racing car performance. In this study, a nonlinear interval suspension damping optimization method is proposed to improve the road holding of a racing car. To evaluate the dynamic responses of racing cars under a random road input and a bump input with interval uncertain parameters, a quarter car model with a two-stage asymmetric damper is established. Then, a quadratic approximation model with second derivative terms is developed by second-order Taylor series expansion and dimension reduction to calculate the nonlinear dynamic response of the vehicle. Interval analysis of the objective function and constraints is carried out using interval arithmetic to eliminate nesting optimization and make the optimization efficient. The results show that the proposed optimization method can improve road holding performance, effectively suppress the fluctuation range of the road holding performance evaluation index, and ensure the robustness of the design scheme.

中文翻译：

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赛车非对称阻尼器参数的非线性区间优化

参数的不确定性会影响赛车的性能。在这项研究中，提出了一种非线性区间悬架阻尼优化方法，以提高赛车的抓地力。为了评估赛车在随机道路输入和区间不确定参数下的碰撞输入下的动态响应，建立了具有两级非对称阻尼器的四分之一汽车模型。然后，通过二阶泰勒级数展开和降维建立具有二阶导数项的二次逼近模型来计算车辆的非线性动态响应。使用区间算法对目标函数和约束进行区间分析，消除嵌套优化，提高优化效率。