高速列车二系垂向悬挂系统设计解析表达式

Analytical Formulae of Secondary Vertical Suspension System Design for High-speed Train

根据1/4车体4自由度垂向振动模型,利用随机振动理论及留数定理,建立轨道高低不平顺激励下的车辆垂向振动响应均方根值解析表达式;通过数值计算对解析表达式的正确性进行了验证,结果表明在一定有效数字范围内解析计算值与数值计算值完全吻合,表明所建立的解析表达式是正确的;通过整车仿真对比对解析计算方法的可靠性进行了验证,可知车体垂向振动加速度均方根值和二系悬挂垂向行程均方根值的解析计算值与整车仿真验证值的最大相对偏差分别仅为12.50%和15.47%,表明所建立的解析计算方法是可靠的。在此基础上,利用黄金分割原理,建立了二系垂向悬挂系统阻尼比优化设计方法,并通过实例对其可行性进行了分析,为高速列车二系垂向悬挂系统参数的初始设计提供了参考。

According to the 1/4 vehicle body four-degree-of-freedom vertical vibration model of high-speed train, using the theory of random vibration and residue theorem, the root mean square value analytical formulae describing the dynamic response of railway vehicles to random excitations generated by vertical track irregularities are established. The correctness of the analytical formulae is validated by numerical calculation. The results show that the values computed are completely consistent with that simulated in a certain range of effective digital. Furthermore, the reliability of the analytical calculation method is validated by comparison with the whole vehicle simulation. The results show that the maximum relative deviation of the body vertical RMS acceleration computed and simulated is only 12.50%, the maximum relative deviation of the secondary suspension vertical RMS stroke computed and simulated is only 15.47%, thus, the analytical calculation method established is reliable. Based on this, using the golden-section adaptive, the damping design method of secondary vertical suspension is built. This research provides a reference for the initial design of the secondary vertical suspension system parameters of high-speed train.