Analysis of Cross-Platform Coupling Vibration of Ultra-High-Speed Maglev Track Beam System

doi:10.16183/j.cnki.jsjtu.2020.101

Abstract

Abstract:

Track beam is an important structural component in maglev transportation. The analysis of its structural performance is quite critical, especially for the coupled dynamic analysis under the action of high-speed moving train, which is directly related to the operation safety and stability of the train. The dynamic coupling of the 600 km/h ultra-high-speed maglev track beam was studied, the train model was based on 5 rigid bodies and 30 degrees of freedom system, and the spatial coupling analysis model of the maglev track beam was established by using the Timoshenko beam element model with shear effect considered. For the specific implementation of the coupling analysis in the cross platform framework, the multi-body dynamics software Simpack, the large-scale finite element software ANSYS and the visual simulation tool MATLAB/Simulink modeling method were used, and the PID controller was introduced to actively control the whole suspension control system. The whole coupling system was divided into the main vehicle master system, the controller subsystem, and the track beam-pier subsystem. Besides, a coupled vibration model of maglev vehicle-controller-track beam was established. Taking a simply supported bridge with a span of 24.768 m as an example, the vertical dynamic response of the following cars and track beams of ultra-high-speed maglev vehicle running was studied, and the dynamic performance of the control system was evaluated. In addition, the change law of multi-parameter dynamic response considering the influence of bridge pier parametric vibration is given, which will provide technical support for the construction of ultra-high-speed maglev projects in the future.

Key words: ultra-high-speed maglev, track beam, coupled vibration, PID controller, cross-platform system

CLC Number:

U237

CAI Wentao, WANG Chunjiang, TENG Nianguan, WEN Quan. Analysis of Cross-Platform Coupling Vibration of Ultra-High-Speed Maglev Track Beam System[J]. Journal of Shanghai Jiao Tong University, 2021, 55(10): 1228-1236.

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自由度	伸缩	横摆	沉浮	侧滚	点头	摇头
车体	x_c	y_c	z_c	θ_c	Ψ_c	φ_c
转向架(i=1~4)	x_t_i	y_t_i	z_t_i	θ_t_i	Ψ_t_i	φ_t_i

符号	物理意义	数值
A/m²	梁截面面积	2.998
E_bI_z/(N·m²)	梁竖向刚度	9.766×10¹⁰
E_bI_y/(N·m²)	梁横向刚度	8.736×10¹⁰
$M -$ /(kg·m^-1)	梁单位长度质量	7.795×10³
h/m	桥墩高度	6
E_c/(N·m^-2)	混凝土弹性模量	3.6×10¹⁰
ρ/(kg·m^-2)	混凝土密度	2.6×10³

阶数	模态频率/Hz		模态振型
阶数	有桥墩	无桥墩	模态振型
1	8.0438	8.3517	一阶横向弯曲
2	8.8057	8.8251	一阶竖向弯曲
3	19.4020	20.0630	横向正对称弯曲,墩横弯
4	22.5520	31.1850	纵向振动,墩竖弯
5	25.7520	33.1170	横向反对称弯曲,墩横弯

参数	数值
车体质量(满员)	2.92×10⁴
车体绕x轴转动惯量/(kg)	2.1×10⁴
车体绕y轴转动惯量/(kg·m²)	1.64×10⁶
车体绕z轴转动惯量/(kg·m²)	1.64×10⁶
转向架总质量/(kg)	3.2×10⁴
转向架绕x轴转动惯量/(kg·m²)	6.95×10³
转向架绕y轴转动惯量/(kg·m²)	1.2×10⁴
转向架绕z轴转动惯量/(kg·m²)	7.72×10³
二系悬挂刚度/(N·m^-1)	6.812×10⁵
二系悬挂阻尼/(N·s·m^-1)	8.46×10⁴