华南理工大学学报(自然科学版) ›› 2009, Vol. 37 ›› Issue (8): 110-115.

• 土木建筑工程 • 上一篇    下一篇

大跨度中承式拱桥的耦合频域抖振分析

晏致涛1  李正良1  黄汉杰2   

  1. 1. 重庆大学 土木工程学院, 重庆 400045; 2. 中国空气动力研究与发展中心, 四川 绵阳 621000
  • 收稿日期:2008-07-02 修回日期:2009-01-21 出版日期:2009-08-25 发布日期:2009-08-25
  • 通信作者: 晏致涛(1978-),男,博士,副教授,主要从事结构工程研究. E-mail:yztzone@163.com
  • 作者简介:晏致涛(1978-),男,博士,副教授,主要从事结构工程研究.
  • 基金资助:

    重庆市科委攻关项目(CYB-DQ-H-0002)

Coupled Buffeting Analysis of Long-Span Half-Through Arch Bridge in Frequency Domain

Yan Zhi-tao1  Li Zheng-liang1  Huang Han-jie2   

  1. 1. College of Civil Engineering, Chongqing University, Chongqing 400030, China; 2. China Aerodynamic Research and Development Center, Mianyang 621000, Sichuan, China
  • Received:2008-07-02 Revised:2009-01-21 Online:2009-08-25 Published:2009-08-25
  • Contact: 晏致涛(1978-),男,博士,副教授,主要从事结构工程研究. E-mail:yztzone@163.com
  • About author:晏致涛(1978-),男,博士,副教授,主要从事结构工程研究.
  • Supported by:

    重庆市科委攻关项目(CYB-DQ-H-0002)

摘要: 大跨度中承式拱桥的主拱风荷载相互干扰,其抖振响应具有多模态耦合的特点.文中基于结构的固有模态坐标,考虑风速沿主拱高度的变化,推导了拱桥结构的节点等效气动抖振力公式.同时,考虑作用于主拱的干扰风谱、风载的空间相干性及主桥与主拱的多模态耦合效应,进行了大跨度中承式拱桥的耦合频域抖振有限元分析.最后以重庆菜园坝长江大桥为例,计算了桥梁结构节点位移和单元脉动内力的功率谱密度和方差响应.分析表明,高阶模态对于大跨度中承式拱桥抖振响应具有较大的影响.此类大跨度中承式拱桥的抖振响应中水平脉动风速功率谱和竖向脉动功率谱的贡献较大,交叉脉动风功率谱可以忽略;与SRSS法相比,CQC法更好地考虑了多模态及模态耦合的影响.

关键词: 拱桥, 气动耦合, 抖振响应, 有限元法

Abstract:

The wind loads on the main arch of a long-span half-through arch bridge interfere with each other, and the buffeting response is in a coupled multimode. In this paper, based on the inherent modal coordinates of the structure, the nodal equivalent aerodynamic buffeting forces of the bridge are formularized by considering the wind speed varying with the main-arch height. Then, the spatial coherence of the disturbed wind spectrum of the main arch and the natural wind loads, as well as the multimode coupling of the responses of the main bridge and the main arch, is taken into consideration, and the coupled buffeting of the long-span half-through arch bridge in frequency domain is analyzed via the finite element method. Finally, with the Caiyuanba Yangtze River Bridge in Chongqing as an illustrative example, the power spectrum density and variance response of both nodal displacements and pulsed elemental internal forces of the bridge are obtained. The results show that  the high-order mode greatly affects the buffeting response of the long-span half-through arch bridge;  for such types of large-span half- through arch bridges, the horizontal and vertical pulsed wind-speed power spectra play an important role in the buffeting response, while the cross power spectrum of fluctuating wind can be ignored ; and  the CQC method con- siders the effects of multi-modal and modal coupling much better than the SRSS method.

Key words: arch bridge, aerodynamic coupling, buffeting response, finite element method