The failure of the Tacoma Bridge: A physical model

被引:50
作者
Green, Daniel [1 ]
Unruh, William G. [1 ]
机构
[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
关键词
D O I
10.1119/1.2201854
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The cause of the collapse of the Tacoma Narrows Bridge has been a topic of much debate and confusion over the years. Many mischaracterizations of the observed phenomena have limited the understanding of the collapse even though there has always been an abundance of evidence in favor of a negative damping model. Negative damping, or positive feedback, is responsible for large amplitude oscillations in many systems, from musical instruments to the Tacoma Narrows Bridge failure. We discuss some of the more well known examples of positive feedback, and then show how the interaction of the wind with the oscillating bridge, especially the development of large scale vortices above and below the deck of the bridge, led to such a positive feedback instability. We support our model by computational, experimental, and historical data. (C) 2006 American Association of Physics Teachers.
引用
收藏
页码:706 / 716
页数:11
相关论文
共 11 条
[1]  
AMMANN OH, 1944, FAILURE TACOMA NARRO
[2]   RESONANCE, TACOMA NARROWS BRIDGE FAILURE, AND UNDERGRADUATE PHYSICS TEXTBOOKS [J].
BILLAH, KY ;
SCANLAN, RH .
AMERICAN JOURNAL OF PHYSICS, 1991, 59 (02) :118-124
[3]  
ELLIOTT B, COLLAPSE TACOMA NARR
[4]  
FLETCHER NH, 1998, PHYS MUSICAL INSTRUM, P13
[5]   MECHANISM OF AERODYNAMIC VIBRATIONS OF SHALLOW BRIDGE GIRDER SECTIONS [J].
KUBO, Y ;
HIRATA, K ;
MIKAWA, K .
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 1992, 42 (1-3) :1297-1308
[6]  
Larsen A., 2000, STRUCTURAL ENG INT, V10, P243, DOI [DOI 10.2749/101686600780481356), 10.2749/101686600780481356, DOI 10.2749/101686600780481356]
[7]   Large torsional oscillations in suspension bridges visited again: Vertical forcing creates torsional response [J].
McKenna, PJ ;
O Tuama, C .
AMERICAN MATHEMATICAL MONTHLY, 2001, 108 (08) :738-745
[8]   Large torsional oscillations in suspension bridges revisited: Fixing an old approximation [J].
McKenna, PJ .
AMERICAN MATHEMATICAL MONTHLY, 1999, 106 (01) :1-18
[9]  
MORGENTHAL G, 2002, THESIS CAMBRIDGE U
[10]  
Newland D. E., 2003, P 10 INT C SOUND VIB