中南大学学报（自然科学版）Issue(1)：298-306,9.DOI:10.11817/j.issn.1672-7207.2016.01.041
基于Newmark格式的车辆-轨道耦合迭代过程的改进算法
Improved algorithm of iterative process for vehicle-track coupled system based on Newmark formulation
摘要
Abstract
Based on finite element method and nonlinear contact theory, an improved staggered iterative algorithm for the simultaneous solution process of vehicle-track system equations was presented. In the algorithm, the dynamic model was divided into vehicle subsystem and track subsystem. For the non-load matrices in two subsystems were carried out some necessary preprocesses such as correction and inversion. Based on rules of the Newmark-β integration scheme, the relaxation factor function and convergence criterion function were constructed with higher convergence speed and convergence precision respectively. To accomplish the solution of the wheel/rail coupled relationship, the fast staggered iteration of wheel/rail interaction force between vehicle subsystem and track subsystem was applied. The results show that the proposed algorithm is correct, effective and able to greatly enhance resolution efficiency of the kinetic equations compared with conventional integration mode. The time step has tremendous effect on the stability of numerical solution, and the reasonable choice of relaxation factor plays a crucial role in accelerating iteration and enhancing the stability of iterative solution. The proposed algorithm is more efficient in large engineering dynamic response.关键词
耦合动力学/轮轨相互作用/Newmark-β法/交叉迭代过程/数值稳定性Key words
coupling dynamics/wheel/rail interaction/Newmark-β method/staggered iterative process/numerical stability分类
交通工程引用本文复制引用
张斌,雷晓燕,罗雁云..基于Newmark格式的车辆-轨道耦合迭代过程的改进算法[J].中南大学学报（自然科学版）,2016,(1):298-306,9.基金项目
国家自然科学基金资助项目(U1134107,51208198)；江西省自然科学基金资助项目(20142BAB216001)；江西省教育厅科学技术研究项目(GJJ14393)(Projects(U1134107,51208198) supported by the National Nature Science Foundation of China （U1134107,51208198）
Project(20142BAB216001) supported by the Natural Science Foundation of Jiangxi Province （20142BAB216001）
Project(GJJ14393) supported by the Science and Technology Program of Education Department of Jiangxi Province) （GJJ14393）
