| 高速转向架车辆蛇行运动的稳定性 |
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| 引用本文： | 陈秀东,张万九,翟耀宗. 高速转向架车辆蛇行运动的稳定性[J]. 大连理工大学学报, 1985, 0(4) |
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| 作者姓名： | 陈秀东 张万九 翟耀宗 |
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| 作者单位： | 大连工学院应用数学研究所(陈秀东)，长春客车工厂(张万九)，东北师范大学(翟耀宗) |
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| 摘 要： | 本文给出高速转向架车辆蛇行运动的数学模型及其非线性微分方程组，用描述函 数方法将其线性化，然后运用简捷的新的判别方法判别车辆的稳定性。对铁道部拟将 研制的高速电动车组转向架和长春客车工厂某新型转向架作了定性和定量的分析．提 出保证不发生蛇行运动的技术参数范围和原则，供设计和研制参考．
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| 关 键 词： | 转向架车辆 蛇行运动 微分方程 特征根 稳定性 |
On Stability of Hunting Movements of High Speed Truck-Carriage |
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| Chen Xiudong Zhang Wanjiu. On Stability of Hunting Movements of High Speed Truck-Carriage[J]. Journal of Dalian University of Technology, 1985, 0(4) |
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| Authors: | Chen Xiudong Zhang Wanjiu |
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| Abstract: | We have established a mathematical model of the high speed truck-carriage and the system of differential equations of hunting movements, and analysed theoretically stability of the hunting movements in the light of stability theory of ordinary differential equations. In the computation, we have used a new stability criterion.Its recursion formula used manipulates the coefficients of the characteristic polynomial by the four basic arithmetic operations in a way that it is simple to implement on computer. The calculation can quickly find out how the internal parameters and their connection affect the system's behaviour and we are able to adjust them to ensure the stability. It is hoped that our results should be useful for the engineers to design the high speed truck-carriage. |
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| Keywords: | truck-carriage hunting movement differential equation characteristic root stability. |
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