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基于虚拟激励法的磁浮车桥耦合系统随机振动分析

刘伟 赵春发 娄会彬 冯洋 彭也也

刘伟, 赵春发, 娄会彬, 冯洋, 彭也也. 基于虚拟激励法的磁浮车桥耦合系统随机振动分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20240035
引用本文: 刘伟, 赵春发, 娄会彬, 冯洋, 彭也也. 基于虚拟激励法的磁浮车桥耦合系统随机振动分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20240035
LIU Wei, ZHAO Chunfa, LOU Huibin, FENG Yang, PENG Yeye. Stochastic Vibration Analysis of Maglev Train-Bridge Coupling System Based on Pseudo Excitation Method[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240035
Citation: LIU Wei, ZHAO Chunfa, LOU Huibin, FENG Yang, PENG Yeye. Stochastic Vibration Analysis of Maglev Train-Bridge Coupling System Based on Pseudo Excitation Method[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240035

基于虚拟激励法的磁浮车桥耦合系统随机振动分析

doi: 10.3969/j.issn.0258-2724.20240035
基金项目: 国家自然科学基金(52172375);湖南省教育厅科学研究项目(22B0681)
详细信息
    作者简介:

    刘伟(1989―),男,讲师,博士,研究方向为磁浮车桥耦合振动和数值积分方法,E-mail:lwei_work@163.com

    通讯作者:

    赵春发(1973―),男,研究员,博士,研究方向为轨道交通工程动力学,E-mail:cfzhao@swjtu.edu.cn

  • 中图分类号: O39

Stochastic Vibration Analysis of Maglev Train-Bridge Coupling System Based on Pseudo Excitation Method

  • 摘要:

    为探讨随机轨道不平顺作用下中低速磁浮列车和桥梁的动力响应,将虚拟激励法引入磁浮车桥振动分析中,提出中低速磁浮车辆-悬浮控制系统-桥梁耦合系统随机振动分析方法. 将中低速磁浮列车简化为弹簧阻尼器连接的多刚体,悬浮系统中电流使用比例-微分(PD)控制方法进行主动控制,采用有限元方法对桥梁进行建模,将随机轨道不平顺转换为一系列简谐波构成的虚拟激励;编制中低速磁浮车桥动力系统随机振动分析程序,自动生成系统随机振动方程,利用分离迭代方法对磁浮车辆控制方程和桥梁动力方程进行求解计算. 研究结果表明:虚拟激励法能够高效计算中低速磁浮车桥系统随机动力响应,其计算效率约为蒙特卡洛方法的1/11,基于虚拟激励法能够获得中低速磁浮车桥动力系统均值、标准差和时变功率谱密度等统计结果.

     

  • 图 1  中低速磁浮列车模型

    Figure 1.  Model of medium-low speed maglev train

    图 2  简支梁桥的截面图(单位:cm)

    Figure 2.  Cross-section of simply supported gride bridge (unit: cm)

    图 3  磁浮车辆和桥梁竖向加速度均方根值

    Figure 3.  Root mean squares of vertical accelerations of maglev train and bridge

    图 4  磁浮车桥系统动力响应均值

    Figure 4.  Mean values of responses of maglev train-bridge system

    图 5  磁浮车桥系统动力响应的上、下限值

    Figure 5.  Upper and lower limits of dynamic responses of maglev train-bridge system

    图 6  前车车体竖向、横向加速度时变功率谱密度

    Figure 6.  Time-varying power spectral density for vertical acceleration and lateral acceleration of leading train

    图 7  第3跨桥梁跨中竖向、横向加速度时变功率谱密度函数

    Figure 7.  Time-varying power spectral density for midspan vertical acceleration and midspan lateral acceleration of three-span bridge

    表  1  磁浮车辆主要参数

    Table  1.   Main parameters of maglev train

    参数 取值
    车体质量/kg 20 000
    悬浮模块质量/kg 1 000
    车体绕 x 轴转动惯量/(kg·m2 66 800
    车体绕 y 轴转动惯量/ (kg·m2 210 000
    车体绕 z 轴转动惯量/(kg·m2 193 000
    悬浮模块绕 x 轴转动惯量/(kg·m2 1 030
    悬浮模块绕 y 轴转动惯量/(kg·m2 1 800
    悬浮模块绕 z 轴转动惯量/(kg·m2 2 680
    二系悬挂弹簧纵向刚度/(N·m−1 900 000
    二系悬挂弹簧竖向刚度/(N·m−1 80 000
    二系悬挂弹簧横向刚度/(N·m−1 80 000
    二系悬挂弹簧纵向阻尼/(N·s·m−1 50 000
    二系悬挂弹簧竖向阻尼/(N·s·m−1 2 000
    二系悬挂弹簧横向阻尼/(N·s·m−1 4 000
    线圈匝数/匝 96
    磁导率/(× 10−6 H·m−1 1.26
    铁芯极面积/m2 0.383
    额定气隙/mm 8
    车体长度/m 16
    下载: 导出CSV
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出版历程
  • 收稿日期:  2025-02-18
  • 修回日期:  2024-04-11
  • 网络出版日期:  2024-05-18

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