Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation
Open Access
- 19 October 2014
- journal article
- research article
- Published by Hindawi Limited in Journal of Applied Mathematics
- Vol. 2014, 1-6
- https://doi.org/10.1155/2014/183257
Abstract
Considering the deck vibration effect on the cable in cable-stayed bridge, using nonlinear structure dynamics theory, the nonlinear dynamical equation for the stayed cable excited with deck vibration is proposed. Research shows that the vertical vibration of the deck has a combined parametric and forced excitation effect on the cable when the angle of the cable is taken into consideration. Using multiscale method, the 1/2 principle parametric resonance is studied and the bifurcation equation is obtained. Despite the parameters analysis, the bifurcation characters of the dynamical system are studied. At last, by means of numerical method and software MATHMATIC, the effect rules of system parameters to the dynamical behavior of the system are studied, and some useful conclusions are obtained.Keywords
Funding Information
- National Natural Science Foundation of China (51108047, 11102028, 3502Z20143028, E201301500)
This publication has 9 references indexed in Scilit:
- A numerical study on nonlinear vibration of an inclined cable coupled with the deck in cable-stayed bridgesJournal of Vibration and Control, 2011
- Localization and veering in the dynamics of cable-stayed bridgesComputers & Structures, 2007
- Oscillations of Bridge Stay Cables Induced by Periodic Motions of Deck and/or TowersJournal of Engineering Mechanics, 1996
- Vibration Amplitudes Caused by Parametric Excitation of Cable Stayed StructuresJournal of Sound and Vibration, 1994
- An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beamNonlinear Dynamics, 1993
- Rain-wind induced vibration of cables of cable-stayed bridgesJournal of Wind Engineering and Industrial Aerodynamics, 1992
- Modal interactions in the non-linear response of elastic cables under parametric/external excitationInternational Journal of Non-Linear Mechanics, 1992
- Rain-wind induced vibrations of cables stayed bridgesJournal of Wind Engineering and Industrial Aerodynamics, 1988
- Harmonically forced, finite amplitude vibration of a stringJournal of Sound and Vibration, 1977