| 轮轨集总参数简化模型稳定性与分岔研究 |
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| 引用本文： | 高学军,李映辉,高庆.轮轨集总参数简化模型稳定性与分岔研究[J].电子科技大学学报(社会科学版),2009(3). |
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| 作者姓名： | 高学军 李映辉 高庆 |
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| 作者单位： | 西南交通大学力学与工程学院;安徽建筑工业学院土木工程学院; |
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| 基金项目： | 教育部长江学者和创新团队发展计划(IRT0452) |
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| 摘 要： | 基于轮轨集总参数简化模型,采用Hertz非线性接触理论模拟轮轨接触力,导出轮轨耦合非线性动力学模型的状态方程。利用自适应变步长Runge-Kutta法求解状态方程,可得到轮轨系统各部件位移、速度、加速度等随车辆运行速度的变化规律及车辆失稳的临界速度。数值结果表明,该方法不仅可以得出系统的失稳临界速度,而且可以观察到各部件的振动情况和失稳形态。
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| 关 键 词： | 分岔 模型 非线性 稳定性 轮轨系统 |
Stability and Bifurcation Analysis of the Simplified Parameter-Lumped Model in Wheel-Rail System |
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| GAO Xue-jun,LI Ying-hui, GAO Qing.Stability and Bifurcation Analysis of the Simplified Parameter-Lumped Model in Wheel-Rail System[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2009(3). |
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| Authors: | GAO Xue-jun LI Ying-hui GAO Qing |
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| Institution: | GAO Xue-jun1,2,LI Ying-hui1,, GAO Qing1 (1.School of Mechanics , Engineering,Southwest Jiaotong University Chengdu 610031,2.School of Civil Engineering,Anhui Institute of Architecture & Industry Hefei 230022) |
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| Abstract: | Based on the simplified parameter-lumped dynamical model which dominates the vertical vibration of wheel-rail system,the state equations of the wheel-rail coupling nonlinear dynamic model are derived,in which the Hertz nonlinear contact force is adopted to simulate the wheel-rail interactions.The self-adapted Runge-Kutta method is used to solve the state equations.The change rule of the overall displacements,velocities and accelerations of all parts changed with the vehicle speed is investigated and the cri... |
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| Keywords: | bifurcation model nonlinearity stability wheel-rail system |
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