首页|车辆-轨道非线性耦合系统显隐式求解算法的收敛性分析

车辆-轨道非线性耦合系统显隐式求解算法的收敛性分析

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针对车辆-轨道非线性耦合系统的动力学方程联立求解过程,将车辆和轨道分别考虑为2个子系统,通过2个子系统之间的位移协调和轮轨非线性接触力耦合,再结合显隐式积分格式,提出车辆-轨道非线性耦合系统的分离迭代和分离同步两种求解方法,通过算例验证了两种方法的正确性,并对两种求解方法的收敛性进行了对比分析.计算结果表明:显隐式分离迭代法和显隐式分离同步法的最大有效时间步长分别是0.5、0.1 ms;在时间步长较大时,采用Aitken加速法可以起到增强显隐式分离迭代法的计算稳定性的作用,但Aitken加速法的作用会随着时间步长的减小而变小;相同时间步长下显隐式分离同步法的计算效率要比显隐式分离迭代法高,但可以通过选用较大的时间步长来提高显隐式分离迭代法的计算效率.
Convergence Analysis of Explicit-Implicit Algorithm for Vehicle-Track Nonlinear Coupled System
In view of the solution process of the dynamic equations of the vehicle-track nonlinear coupled system,the ve-hicle and the track were considered as two subsystems respectively.Through displacement coordination and wheel-rail nonlinear contact force coupling between the two subsystems,and combined with the explicit-implicit integral scheme,two solutions of vehicle-track nonlinear coupled system,separation iteration and separation synchronization,were pro-posed.With the correctness of the two methods being verified by numerical examples,the convergence of the two solving methods was compared.The results show that the maximum effective time steps of the explicit-implicit separation iteration method and the explicit-implicit separation synchronization method are 0.5 ms and 0.1 ms respectively.When the time step is large,Aitken acceleration method can enhance the computational stability of the explicit-implicit separation itera-tion method,but the effect of Aitken acceleration method will be weakened with the decrease of the time step.Under the same time step,the computational efficiency of the explicit-implicit separation synchronization method is higher than that of the explicit-implicit separation iteration method,except that the computational efficiency of the explicit-implicit sepa-ration iteration method can be improved by selecting a larger time step.

vehicle-track nonlinear coupled systemexplicit-implicit integrationseparation iteration methodseparation synchronization methodAitken acceleration method

秦佳良、刘林芽

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华东交通大学轨道交通基础设施性能监测与保障国家重点实验室,江西南昌 330013

萍乡学院工程与管理学院,江西萍乡 337055

车辆-轨道非线性耦合系统 显隐式积分 分离迭代法 分离同步法 Aitken加速法

国家重点研发计划国家重点研发计划国家自然科学基金国家自然科学基金江西省自然科学基金江西省青年科学基金江西省教育厅科学技术研究项目江西省研究生创新资金项目

2022YFB26022002022YFB2602204522723485196802520192ACB L2000920202BABL214048GJJ200658YC2020-B1142

2024

10.3969/j.issn.1001-8360.2024.01.012

铁道学报
中国铁道学会

铁道学报

CSTPCD北大核心
影响因子：0.9
ISSN：1001-8360
年,卷(期)：2024.46(1)
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