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基于格林函数的浮置板参数对高架桥梁垂向振动的影响

2020-04-09邹义龙

计算机辅助工程 2020年1期
关键词:桥梁振动

邹义龙

摘要:根据城市轨道交通高架桥梁轻型浮置板线路的结构特点,建立车辆 轻型浮置板轨道 高架桥梁垂向耦合振动模型,利用格林函数得到浮置板轨道与桥梁垂向振动响应的解析表达式,分析在轨道不平顺振动载荷激励下浮置板参数对轨道系统振动的影响。结果表明:浮置板参数的变化对高架桥梁垂向振动的影响主要集中在70 Hz以下的低频段;减小钢弹簧刚度对降低桥梁垂向振动功率、增大振动传播的衰减有利;浮置板厚度对桥梁垂向振动的影响较为复杂,需要根据情况区别对待。

关键词:

浮置板; 高架桥梁; 格林函数; 耦合振动

中图分类号:U211.3;TP391.99

文献标志码:B

Influence of floating slab parameters on vertical vibration of elevated bridge based on Green function

ZOU Yilong

(Lanzhou Rail Transit Co., Ltd., Lanzhou 730000, China)

Abstract:

According to the structure characteristics of elevated bridge of urban rail transit with light floating slabs, the vertical coupling dynamics model of the vehicle and light floating slab track and elevated bridge is established. The analytical function of vertical vibration response of the floating slab track and elevated bridge is solved by Green function. The influence of the floating slab parameters on the track system vibration when it is excited by the irregularity vibration loading is analyzed. The results show that the influences of floating slab parameters on the vertical vibration of elevated bridge concentrates on the low frequency (below 70 Hz); the reduction of the steel spring stiffness is beneficial to reduce the vertical vibration power and to increase the attenuation of vibration propagation; the effect of the floating slab thickness on the vertical vibration of elevated bridge is complex, which should be treated differently according to the situation.

Key words:

floating slab; elevated bridge; Green function; coupling vibration

0 引 言

近年來,我国城市轨道交通大力发展,已成为缓解城市交通拥堵的方式之一。但是,城市轨道交通引起的结构振动、噪声等问题也日益显现。浮置板轨道是控制列车振动的方法之一,在城市轨道交通建设中应用广泛。国内外很多学者对浮置板轨道减振降噪性能进行研究。NELSON[1]研究预制式和现场浇注式2种浮置板轨道的工程应用和隔振效果。王澜等[2]把轨道几何不平顺载荷输入车辆 轨道耦合动力系统作为振动激励源,研究普通碎石道床轨道和浮置板轨道的动力响应,发现浮置板轨道比普通碎石道床轨道隔振效果更好。侯德军等[3]建立浮置板轨道双层连续弹性梁模型,利用傅里叶变换求得轨道的振动响应,获得地面最大激振力与激振频率的关系曲线。……

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