结构拟静力分量对中低速磁浮车-桥系统地震响应的影响

doi:10.16183/j.cnki.jsjtu.2020.381

摘要/Abstract

摘要：

与传统桥梁抗震分析关注系统的相对运动不同,车-桥系统的抗震分析关注车辆系统的绝对运动,需考虑结构拟静力分量的影响.为探讨结构拟静力分量对中低速磁浮车-桥系统地震响应特性的影响,以某典型中低速磁浮线路为研究对象,考虑基于比例积分微分 (Proportional Integral Derivative, PID) 主动悬浮控制的磁浮车-桥耦合关系,采用相对运动法和直接求解法,分别在相对坐标系和绝对坐标系下建立中低速磁浮车-桥系统地震响应分析模型.在此基础上,重点探讨了结构拟静力分量对磁浮间隙、车辆系统以及桥梁结构动力响应的影响规律.结果表明:结构拟静力分量对车辆系统的动力响应影响较大,忽略结构拟静力分量会严重低估车辆的加速度响应,差异值最大可达447%;结构拟静力分量对桥梁结构位移响应的影响有限;建议采用考虑结构拟静力分量的绝对位移法处理磁浮车-桥系统中的地震输入.

关键词: 中低速磁浮交通, 车桥系统, PID主动控制, 地震响应, 结构拟静力分量

Abstract:

Unlike the traditional seismic analysis on bridge engineering which mainly concerns the relative motion, the seismic analysis of vehicle-bridge system focuses more on the absolute motion of the vehicle system, where the pseudo-static components need to be considered. In order to study the effect of structural pseudo-static components on the seismic responses of low-medium speed maglev vehicle-bridge system, the discussion relying on a typical low-medium speed maglev line was implemented. Considering the vehicle-bridge coupling relationship based on the proportional integral derivative (PID) active suspension control, two dynamic models for the low-medium speed maglev vehicle-bridge system subjected to earthquake were relatively established in the relative coordinate and the absolute coordinate, and the seismic forces were correspondingly solved by employing the relative motion method and the direct solution method. A case study was subsequently conducted, where the effect of structural pseudo-static components on dynamic responses of the vehicle-bridge system, including the maglev gap, the vehicle system and the bridge was further analyzed. The results show that the influence of pseudo-static components on the dynamic responses of the vehicle system is quite significant. Ignoring the pseudo-static components could seriously undervalue the dynamic responses of the vehicle system, of which the difference could be as high as 447%. Compared to the vehicle system, the influence of pseudo-static components on the vertical and transversal displacement responses of the bridge is fairly limited. Therefore, it is suggested that the absolute displacement method which takes the pseudo-static components into account should be adopted to deal with the seismic excitation in the maglev vehicle-bridge system.

Key words: low-medium speed maglev transport, vehicle-bridge system, PID active control, seismic responses, structural pseudo-static components

中图分类号:

U24
TB123

黄凤华, 程斌, 滕念管. 结构拟静力分量对中低速磁浮车-桥系统地震响应的影响[J]. 上海交通大学学报, 2022, 56(4): 486-497.

HUANG Fenghua, CHENG Bin, TENG Nianguan. Influence of Structural Pseudo-Static Components on Seismic Responses of Low-Medium Speed Maglev Vehicle-Bridge System[J]. Journal of Shanghai Jiao Tong University, 2022, 56(4): 486-497.

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符号	名称及单位	数值
M_c	车体质量/kg	2.0×10⁴
M_b	悬浮侧架质量/kg	1000
J_αc	车体转动惯量 (点头)/(kg·m²)	3.85×10⁵
J_βc	车体转动惯量 (摇头)/(kg·m²)	3.88×10⁵
J_γc	车体转动惯量 (侧滚)/(kg·m²)	2.21×10³
J_αb	悬浮架转动惯量 (点头)/(kg·m²)	1150
J_βb	悬浮架转动惯量 (摇头)/(kg·m²)	1200
K_sy	二系悬挂系竖向刚度/(N·m^-1)	8.0×10⁴
C_sy	二系悬挂系竖向阻尼/(N·s·m^-1)	5.0×10³
K_sz	二系悬挂系横向刚度/(N·m^-1)	1.5×10⁵
C_sz	二系悬挂系横向阻尼/(N·s·m^-1)	2.25×10³

车速/ (km·h^-1)	悬浮系统				车辆系统		轨道梁跨中
车速/ (km·h^-1)	悬浮间隙波动幅值	导向间隙	悬浮电磁力波动幅值	导向电磁力	沉浮加速度	偏航加速度	竖向位移	横向位移
60	19.2	111.9	-5.7	143.2	368.3	61.1	3.7	-1.5
70	23.4	216.5	7.3	118.1	394.1	61.2	0.8	0.2
80	16.3	153.6	6.3	110.6	449.1	50.5	2.1	1.2
90	7.3	219.1	4.7	113.8	322.9	44.3	2.2	0.2
100	22.5	192.4	-5.1	82.3	323.0	46.7	-0.3	2.0
110	26.7	205.8	9.2	89.0	309.1	56.2	-0.4	1.0
120	34.8	171.2	0.97	101.4	366.9	47.2	-0.2	-1.5