An instability result in the theory of suspension bridges

被引：6
|
作者：
Marchionna, Clelia [1 ]
Panizzi, Stefano [2 ]
机构：
[1] Dipartimento Matemat Politecn, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
[2] Dipartimento Matemat & Informat, Parco Area Sci 53-A, I-43125 Parma, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 140卷
关键词：
Suspension bridges; Torsional instability; Poincare map; Hill equation; NONLINEAR OSCILLATIONS;
D O I：
10.1016/j.na.2016.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a second order system of two ODEs which arises as a single mode Galerkin projection of the so-called fish-bone (Berchio and Gazzola, 2015) model of suspension bridges. The two unknowns represent flexural and torsional modes of vibration of the deck of the bridge. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We establish a condition depending on a set of 3 parameters under which the flexural motions are unstable provided the energy is sufficiently large. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：12 / 28
页数：17
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