人-桥侧向动力相互作用下的动力放大系数分析

宋志刚;张尧

振动与冲击 ›› 2015, Vol. 34 ›› Issue (1) : 19-23.

PDF(1170 KB)
PDF(1170 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (1) : 19-23.
论文

人-桥侧向动力相互作用下的动力放大系数分析

  • 宋志刚1,张尧1
作者信息 +

Analysis of lateral crowd-bridge interaction induced structural vibration through dynamic amplify factor

  • SONG Zhi-gang1, ZHANG Yao1
Author information +
文章历史 +

摘要

从社会力模型和人桥相互作用的机理出发研究了柔性人行桥在人桥相互作用下侧向振动的动力放大系数。首先将人行激励分解为固有侧向力和附加侧向力,分别采用傅里叶级数模型和社会力模型表示上述侧向力,从而建立考虑负阻尼的强迫振动模型。结合该模型推导出动力放大系数的表达式,在此基础上给出了基于动力放大系数的结构动力响应的简化计算方法。最后,结合某人行桥结构,对比分析了采用建议的估算方法与时程模拟结果的差异,证实了简化计算方法的有效性。

Abstract

Depending on the social force model and the mechanism of crowd-bridge interaction, a study on the lateral dynamic amplify factor of flexible footbridges was carried out. Firstly, the lateral step force induced by pedestrian was divided into two parts, namely the intrinsic lateral force and additional lateral force. Since they can be represented by Fourier series and social force respectively, the motion equation of footbridge was set up with the consideration of negative damping. The expression of dynamic amplify factor was derived from the structural motion equation. Then a simplified method for estimating structural responses was proposed according to the relationship between structural responses and the dynamic amplify factor. The peak displacement and acceleration of a concrete footbridge were calculated respectively by simplified method and time history analysis. Results of above methods are compared with each other, validating the effectiveness of simplified method.

关键词

人行桥 / 侧向振动 / 人桥相互作用 / 动力放大系数 / 动力响应估算

Key words

footbridges / lateral vibration / crowd-bridge interaction / dynamic amplify factor / dynamic response estimation

引用本文

导出引用
宋志刚;张尧. 人-桥侧向动力相互作用下的动力放大系数分析[J]. 振动与冲击, 2015, 34(1): 19-23
SONG Zhi-gang;ZHANG Yao. Analysis of lateral crowd-bridge interaction induced structural vibration through dynamic amplify factor[J]. Journal of Vibration and Shock, 2015, 34(1): 19-23

PDF(1170 KB)

785

Accesses

0

Citation

Detail

段落导航
相关文章

/