AbstractIn this paper, we study periodic oscillations in a suspension bridge system governed by the coupled nonlinear wave and beam equations describing oscillations in the supporting cable and roadbed under periodic external forces. By applying a variational reduction method, it is proved that the suspension bridge system has at least three periodic oscillations
We first recall several historical oscillating bridges that, in some cases, led to collapses. Some o...
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its o...
Abstract This paper deals with a coupled nonlinear beam-wave system, proposed by Lazer and McKenna, ...
A nonlinear system of partial differential equations is presented to model the vertical motions of t...
summary:We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations i...
A new method for analyzing nonlinear steady-state dynamic response of three-dimensional sagged stay ...
We consider a nonlinear model for time-periodic oscillations of a suspension bridge. Under some ...
We present an ordinary differential equation which models the torsional motion of a horizontal cross...
Suspension bridges have a history of large-scale oscillations caused by wind, earthquake or traffic ...
AbstractThe paper is concerned with the existence of periodic solutions for the Lazer–McKenna suspen...
We consider the forced sine-Gordon equation on a bounded domain, which models the torsional oscillat...
The paper presents a planar multi-body system which synthetically describes the geometrically nonlin...
AbstractWe look for time-periodic solutions of the suspension bridge equation. Lazer and McKenna sho...
Non-linear coupled vertical and torsional vibrations of suspension bridges are investigated. Method ...
We first recall several historical oscillating bridges that, in some cases, led to collapses. Some o...
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its o...
Abstract This paper deals with a coupled nonlinear beam-wave system, proposed by Lazer and McKenna, ...
A nonlinear system of partial differential equations is presented to model the vertical motions of t...
summary:We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations i...
A new method for analyzing nonlinear steady-state dynamic response of three-dimensional sagged stay ...
We consider a nonlinear model for time-periodic oscillations of a suspension bridge. Under some ...
We present an ordinary differential equation which models the torsional motion of a horizontal cross...
Suspension bridges have a history of large-scale oscillations caused by wind, earthquake or traffic ...
AbstractThe paper is concerned with the existence of periodic solutions for the Lazer–McKenna suspen...
We consider the forced sine-Gordon equation on a bounded domain, which models the torsional oscillat...
The paper presents a planar multi-body system which synthetically describes the geometrically nonlin...
AbstractWe look for time-periodic solutions of the suspension bridge equation. Lazer and McKenna sho...
Non-linear coupled vertical and torsional vibrations of suspension bridges are investigated. Method ...
We first recall several historical oscillating bridges that, in some cases, led to collapses. Some o...
summary:We prove the existence of weak T-periodic solutions for a nonlinear mathematical model assoc...
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its o...
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