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基于Sobol'法的高速磁浮列车单点悬浮系统全局灵敏度分析

倪菲 范琳 徐俊起 林国斌 贾万涛

西南交通大学学报2025,Vol.60Issue(4):812-822,11.
西南交通大学学报2025,Vol.60Issue(4):812-822,11.DOI:10.3969/j.issn.0258-2724.20240545

基于Sobol'法的高速磁浮列车单点悬浮系统全局灵敏度分析

Global Sensitivity Analysis of Single-Point Levitation System for High-Speed Maglev Train Based on Sobol'Method

倪菲 1范琳 2徐俊起 1林国斌 1贾万涛3

作者信息

  • 1. 同济大学磁浮交通工程技术研究中心,上海 201804||同济大学高速磁浮运载技术全国重点实验室,上海 201804
  • 2. 同济大学高速磁浮运载技术全国重点实验室,上海 201804||同济大学交通学院,上海 201804
  • 3. 西北工业大学数学与统计学院,陕西 西安 710129
  • 折叠

摘要

Abstract

The impact of uncertain parameters on the dynamic response of the high-speed maglev train levitation system was investigated,aiming to provide a theoretical foundation for the optimal design of maglev trains.Firstly,the high-speed maglev train levitation system was simplified to a single-point levitation system incorporating secondary suspension,and a corresponding polynomial chaos expansion(PCE)model was established.On this basis,the Sobol'method was employed for global sensitivity analysis.Compared to the method of solving Sobol'sensitivity through Monte Carlo simulation on the original model,the PCE-based approach enhances computational efficiency by 73 times while maintaining the calculation error within 0.004.Furthermore,the influence patterns of vehicle structural parameters,track irregularity parameters,and levitation control parameters on the levitation gap response and the vertical acceleration of the train body were analyzed,identifying key influencing parameters and their interaction effects.The results indicate that the coil turns of the electromagnet and the effective area of the electromagnet core significantly affect the vertical acceleration of the train body and the levitation gap response,with total sensitivity indexes exceeding 0.20,whereas the electromagnet mass and the secondary suspension parameters have a relatively minor impact,with total sensitivity indexes less than 0.10.The train operating speed and track irregularity wavelength significantly influence the levitation gap and the vertical acceleration of the train body,with total sensitivity indexes exceeding 0.80 and a notable interaction effect between the two.Among the levitation control parameters,the gap response is most sensitive to changes in the proportional coefficient,with the total sensitivity index approaching 1.00.

关键词

高速磁浮列车/电磁悬浮系统/灵敏度分析/Sobol'法/多项式混沌展开

Key words

high-speed maglev train/electromagnetic levitation system/sensitivity analysis/Sobol'method/polynomial chaos expansion

分类

交通工程

引用本文复制引用

倪菲,范琳,徐俊起,林国斌,贾万涛..基于Sobol'法的高速磁浮列车单点悬浮系统全局灵敏度分析[J].西南交通大学学报,2025,60(4):812-822,11.

基金项目

国家自然科学基金项目(52232013)中央高校基本科研业务费专项资金(22120230311)资助. (52232013)

西南交通大学学报

OA北大核心

0258-2724

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