Add to ORKGHistorical evidence shows that a traveling wave can traverse the length of a suspension bridge. Using a modified model of a beam, traveling wave solutions can be investigated. The model is a partial differential equation governing its deflection in space and time. Finding its traveling wave solutions converts it into an ordinary differential equation. The cables of the suspension bridge lead to a nonlinearity. Solutions of this model have been explored before, but the work is continued by adding an impulse traveling the length of the bridge. Additionally, the stability of the traveling wave solutions is studied
This work was supported by Grant No. 22-18261S of the Grant Agency of the Czech Republic
We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled n...
summary:In this paper a dynamic linear model of suspension bridge center spans is formulated and thr...
Historical evidence shows that a traveling wave can traverse the length of a suspension bridge. Usin...
In this thesis, we study the traveling waves in a Lazer-McKenna suspension bridge system which is go...
The purpose of this study is to model the suspension bridge that oscillated by the external forces a...
summary:In this work we try to explain various mathematical models describing the dynamical behaviou...
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its o...
We consider a second order system of two ODEs which arises as a single mode Galerkin projection of ...
The purpose of this thesis was to examine a partial differential equation to model the Tacoma Narrow...
This work provides a detailed and up-to-the-minute survey of the various stability problems that can...
summary:In this paper we present several nonlinear models of suspension bridges; most of them have b...
Any pedestrian who has crossed a suspension bridge will agree to the fact that it will move. The mo...
This work provides a detailed and up-to-the-minute survey of the various stability problems that can...
This work was supported by Grant No. 22-18261S of the Grant Agency of the Czech Republic
We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled n...
summary:In this paper a dynamic linear model of suspension bridge center spans is formulated and thr...
Historical evidence shows that a traveling wave can traverse the length of a suspension bridge. Usin...
In this thesis, we study the traveling waves in a Lazer-McKenna suspension bridge system which is go...
The purpose of this study is to model the suspension bridge that oscillated by the external forces a...
summary:In this work we try to explain various mathematical models describing the dynamical behaviou...
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its o...
We consider a second order system of two ODEs which arises as a single mode Galerkin projection of ...
The purpose of this thesis was to examine a partial differential equation to model the Tacoma Narrow...
This work provides a detailed and up-to-the-minute survey of the various stability problems that can...
summary:In this paper we present several nonlinear models of suspension bridges; most of them have b...
Any pedestrian who has crossed a suspension bridge will agree to the fact that it will move. The mo...
This work provides a detailed and up-to-the-minute survey of the various stability problems that can...
This work was supported by Grant No. 22-18261S of the Grant Agency of the Czech Republic
We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled n...
summary:In this paper a dynamic linear model of suspension bridge center spans is formulated and thr...