摘要
针对车辆-轨道非线性空间耦合系统动力学分析计算量大、计算耗时长及计算精度难以保证的问题,对车辆-轨道非线性空间耦合振动模型和交叉迭代法进行改进。运用有限元法分别建立车辆和轨道空间子系统动力学模型,在基于“迹线法”构建轮轨接触几何关系的基础上,提出“投影对点作差法”搜索轮轨空间接触点位置,并引入轮轨准弹性接触对其进行修正,精细化轮轨接触关系;结合车辆-轨道非线性空间耦合系统特点,改进基于Newmark数值积分的交叉迭代求解系统动力学方程的算法,并给出完整的数值计算步骤。通过与相关文献进行对比,验证改进模型和算法的有效性。结果表明:改进模型的分析精度更高,搜索轮轨空间接触点位置的速度更快;改进算法的计算过程更完善,步骤更清晰;改进的模型和算法在提高计算精度的同时,仍然具有较快的计算效率,且使数值编程更易实现,方便工程应用。
In order to address the challenges posed by extensive computational requirements,prolonged computation time and reduced calculation accuracy in the dynamic analysis of vehicle-track nonlinear spatial coupling systems,the vehicle-track nonlinear spatial coupling vibration model is enhanced along with improvements made to the cross iterative method.The dynamic models for the vehicle and track spatial subsystems are separately established using the finite element method.The wheel-rail contact geometric relationship is constructed based on the“trajectory method”.A“projection point difference method”is proposed to determine the position of wheel-rail spatial contact points while introducing wheel-rail quasi-elastic contact for refinement purposes in order to enhance the wheel-rail contact relationship.Considering the characteristics of vehicle-track nonlinear spatial coupling systems,the algorithm for solving system dynamic equations based on Newmark numerical integration and cross iterative methods has been improved while providing a comprehensive outline of numerical calculation steps.The effectiveness of the improved model and algorithm is verified by comparing with the calculation results of related literatures.The study shows that:this enhanced model offers superior analytical accuracy enabling faster localization of wheel-rail spatial contact points;meanwhile,the refined algorithm presents a more complete calculation process with clearer steps;both enhancements contribute to improved calculation accuracy without compromising efficiency,thus facilitating easier implementation in numerical programming applications as well as convenient engineering utilization.
作者
雷晓燕
王伟
罗锟
王海
LEI Xiaoyan;WANG Wei;LUO Kun;WANG Hai(School of Transportation Engineering,East China Jiaotong University,Nanchang Jiangxi 330013,China;School of Architecture and Engineering,Jiangxi Modern Polytechnic College,Nanchang Jiangxi 330095,China;Traffic Planning Institute,Guangzhou Metro Design and Research Institute Corporation Limited,Guangzhou Guangdong 510010,China)
出处
《中国铁道科学》
EI
CAS
CSCD
北大核心
2024年第4期120-132,共13页
China Railway Science
基金
国家自然科学基金资助项目(51978264,52178424)
江西省技术创新引导类计划项目(20223AEI91004)
江西省自然科学重点基金资助项目(20224ACB204018)
江西省教育厅科学技术研究项目(GJJ2205122,GJJ171313)
轨道交通基础设施性能监测与保障国家重点实验室自主课题研究项目(HJGZ2023207)。
关键词
车辆系统
轨道系统
非线性空间耦合
交叉迭代
轮轨接触
迹线法
Vehicle system
Track system
Nonlinear spatial coupling
Cross iteration
Wheel-rail contact
Trajectory method
