论文部分内容阅读
本文给出了一种２７个自由度的三轴转向架六轴机车非线性横向稳定性的数学模型，建立了数值分叉方法作为非线性横向稳定性的分析方法，引入分析稳定性的一组判别原则，指出为了得到机车横向稳定性的完整图像，必须获得亚临界Ｈｏｐｆ分叉速度Ｖ＿ｎ及脱轨速度Ｖ＿ｄ。最后对东风＿９型客运内燃机车进行了非线住板向稳定性分析。作者优选采用Ｎｅｗｍａｒｋ预测－校正积分法以求解运动微分方程组；开发了求解运动微分方程组的数值积分程序，以及处理计算结果的绘图程序。在机车非线性横向稳定性的数学模型中，考虑了轮轨接触几何学非线性、弹性滑动饱和非线性、悬挂非线性以及电机转矩对机车稳定性的影响。其研究结果可以有效地适用于新型机车的性能预测，新型机车设计的多数选择、调整，以及定型机车性能的检验及旧型机车的技术改造。对该模型略作修改，整个分析可适用于二轴转向架四轴机车和二轴转向架四轴客车的非线性横向稳定性问题。
This paper presents a mathematical model of nonlinear lateral stability of a 27-DOF three-axle bogie six-axle locomotive. The numerical bifurcation method is established as an analytical method of nonlinear lateral stability. A set of analytical stability It is pointed out that in order to obtain a complete image of locomotive lateral stability, subcritical Hopf bifurcation velocity V_n and derailment velocity V_d must be obtained. Finally, the stability analysis of Dongfeng-9 passenger diesel locomotive has been carried out. The authors prefer to use the Newmark prediction-correction integral method to solve differential equations of motion. Numerical integration programs to solve the system of differential equations of motion are developed, and the plotting program to process the results is developed. In the mathematical model of locomotive non-linear lateral stability, the influences of wheel-rail contact geometry nonlinearity, elastic sliding saturation nonlinearity, suspension nonlinearity and motor torque on locomotive stability are considered. The research results can be effectively applied to the performance prediction of new locomotives, the majority of new locomotive design choices, adjustments, as well as the inspection of locomotive performance and the technological transformation of old locomotives. The model is slightly modified. The whole analysis can be applied to the nonlinear lateral stability of four-axle buses with two-axle bogies and two-axle bogies.