弹性车轮对大跨斜拉桥车桥耦合振动的抑制特性

doi:10.13229/j.cnki.jdxbgxb.20211258

Abstract

Abstract:

In order to prove the adaptability of the metro train-bridge （especially long-span bridge） system to resilient wheels from the perspective of dynamics， the influence of resilient wheels on the long-span cable-stayed bridge （LSCSB） on the vibration of the metro train-bridge system and its suppression characteristics was studied. Based on the vehicle-track coupling dynamics theory， a coupled dynamic model of metro train-LSCSB system considering resilient wheel was established. Adopting the model， the effect of resilient wheels on the vibration characteristics of metro train and LSCSB under the combined disturbance of long-short wave irregularities was studied， the damping effect of resilient wheel on metro train-LSCSB system is proved from time-frequency domain. The results show that when metro train running through， the resilient wheel can effectively reduce the wheel/rail force， vibration of the wheel and axle box. Compared with the traditional rigid wheel， the vibration of rim is the most intense， followed by the vibration of traditional rigid wheel， and the vibration of web is the smallest. Based on the propesd dynamic parameters of the resilient wheel， the excellent frequency of the resilient wheel vibration is concentrated in 10 Hz to 50 Hz， and there is a peak around 25 Hz. The main frequency of the bridge vertical and lateral vibration is about 1 Hz. The resilient wheels can effectively reduce the mid-low frequency vibrations of LSCSB.

Key words: vehicle engineering, resilient wheel, long-span cable-stayed bridge, time-frequency analysis, vibration reduction

CLC Number:

Zhao-wei CHEN,Qian-hua PU. Suppression characteristics of vehicle⁃bridge coupling vibration of long⁃span cable⁃stayed bridge with resilient wheels[J].Journal of Jilin University(Engineering and Technology Edition), 2023, 53(9): 2519-2532.

Figures/Tables 30

Fig.1

Fig.2

Table 1

Table 2

Symbols of various parameters of metro vehicles"

符号	物理意义
X、Y、Z	纵向、横向以及垂向位移
?、φ、 $ψ$	纵向、横向以及垂向角位移
g、w、b、c	轮箍、轮芯、构架以及车体的下标
M_g、M_w、M_b、M_c	轮箍、轮对、构架以及车体的质量
I_g、I_w、I_b、I_c	轮箍、轮对、构架以及车体的转动惯量
K_g、K_p、K_s	轮箍、一系以及二系悬挂刚度
C_g、C_p、C_s	弹性车轮、一系以及二系悬挂阻尼
d_w	一系悬挂横向距离的二分之一
d₀	弹性车轮橡胶悬挂横向距离的二分之一
a₀	左右轮轨接触点距离的二分之一
r₀、r_L、r_R	车轮名义滚动、左/右轮半径的二分之一
r_w	轮芯半径

Table 2

Fig.3

Fig.4

Fig.5

Table 3

Table 4

Table 5

Table 6

Fig.6

Fig.7

Table 7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

Fig.21

Fig.22

Fig.23

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符号	物理意义
F_L、F_R	左、右轮辋所受蠕滑力
N_L、N_R	左、右轮辋所受法向力
F_hL、F_hR	左、右弹性车轮橡胶悬挂作用力
F_fL、F_fR	左、右一系悬挂作用力
M_wg	轮对重力

参数	数值
定距/m	15.7
轴距/m	2.5
滚动圆直径/m	0.42
轮对质量、轴箱质量/t	1.86
构架质量/t	4.28
车体质量/t	41.61
轮对惯量/（t·m²）	1.036
构架惯量/（t·m²）	2.486
车体惯量/（t·m²）	1708.23
一系刚度/（MN·m^-1）	1.07
二系刚度/（MN·m^-1）	0.155
橡胶层径向和轴向刚度/（MN·m^-1）	30
橡胶层径向与轴向阻尼/（kN·s·m^-1）	300

阶数	弹性车轮		刚性车轮
阶数	频率	振型	频率	振型
1	0.39	侧滚	0.20	侧滚
2	0.59	纵向	0.64	纵向
3	0.73	摇头	0.67	横移
4	0.97	沉浮	0.8	摇头
5	0.99	横移	0.92	沉浮
6	1.20	点头	1.24	点头

阶数	弹性车轮		刚性车轮
阶数	频率	振型	频率	振型
1	6.32	沉浮	2.68	侧滚
2	8.32	侧滚	4.40	沉浮
3	12.07	点头	8.20	点头
4	13.24	纵向	9.05	摇头
5	19.20	摇头	10.86	横移
6	23.48	横移	22.59	纵向

阶数	弹性车轮				刚性车轮
	轮箍		轮芯		刚性车轮
	频率	振型	频率	振型	频率	振型
1	61.25	侧滚	61.76	侧滚	37.39	侧滚
2	87.79	沉浮	87.82	沉浮	135.43	横移
3	104.07	横移	116.76	横移	159.38	沉浮
4	139.97	纵向	136.14	纵向	161.26	纵向
5	989.15	摇头	989.20	摇头	525.90	摇头
6	3145.40	点头	3145.40	点头	1594.20	点头

Suppression characteristics of vehicle⁃bridge coupling vibration of long⁃span cable⁃stayed bridge with resilient wheels

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