Research on dynamic instability of irregularly-shaped arch bridge Based on catastrophe theory

被引：0
作者：
Yang, Xiaorong [1 ]
Shen, Xuejing [1 ]
Zhong, Min [1 ]
Lan, Jiaoxia [1 ]
机构：
[1] Mil Transportat Inst, Tianjin 300161, Peoples R China
来源：
ARCHITECTURE AND BUILDING MATERIALS, PTS 1 AND 2 | 2011年 / 99-100卷
关键词：
Irregularly-shaped arch bridge; thin-walled curved beam; large flexibility bridge; catastrophe theory; dynamic instability;
D O I：
10.4028/www.scientific.net/AMM99-100.832
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
According to the characteristic of poor stiffness of V-shaped beams, transverse dynamic instability model of V-shaped is presented by Catastrophe Theory. Mechanism of stability of V-shaped is analyzed. Coordinates of two cusps G(1)(eta(1),mu(1)),G(2)(eta(2),mu(2)) and instable bifurcation set is derived. Effect of nonlinear coefficient mu and frequency ratio eta = Omega/omega = 1 on amplitude of V-shaped beams are analyzed. When nonlinear coefficient is mu > eta(2) continuous change of eta can arise abrupt change of amplitude. Then the jumping phenomenon can leads destruction of V-shaped beams.
引用
收藏
页码：832 / 837
页数：6
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