A qualitative explanation of the origin of torsional instability in suspension bridges

被引：35

作者：

Berchio, Elvise ^{[1
]}

Gazzola, Filippo ^{[2
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 121卷

关键词：

Suspension bridges; Torsional stability; Hill equation; BLOW-UP; OSCILLATIONS; EQUILIBRIUM; STABILITY; MODELS;

D O I：

10.1016/j.na.2014.10.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the origin of torsional instability. We obtain both theoretical and numerical estimates of the thresholds of instability. Our method is based on a finite dimensional projection of the phase space which reduces the stability analysis of the model to the stability of suitable Hill equations. This gives an answer to a long-standing question about the origin of torsional instability in suspension bridges. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：54 / 72

页数：19