轮胎非稳态侧偏力学中E函数分析

Analysis of the E-function for non-steady state tire cornering mechanics

为更好地分析考虑胎体复杂变形的轮胎非稳态侧偏特性理论模型 ,在模型传递函数中定义了 E函数。通过推导 E函数的 Taylor展开式与导数关系式 ,探讨了速度变化时 E函数的频率特性以及速度变化时 E函数的简化形式 ,分析了轮胎非稳态侧偏特性与 E函数之间的内在关系。得出了通过 E函数的 Taylor展开式可以从轮胎非稳态转偏模型推导出轮胎稳态转偏理论模型的结论 ,得到了简化形式 E函数的频率特性与原 E函数频率特性的偏差受速度、频率影响的定性关系。

The E function is applied in the transfer function of the theoretical tire model with non steady state cornering characteristics to improve the model. Mathematical expressions for the derivative, Taylor series for the E function and frequency properties of the E function are derived for use in the analysis of non steady state tire cornering characteristics. The steady state tire turn slip model can be derived from the non steady state tire turn slip model using the Taylor series for the E function. The deviation of the frequency properties between the E function and the simplified E function is affected by the velocity and frequency. The results can be used in modeling and simulation of tire mechanics and vehicle dynamics.