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Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation
Joint Authors
Qian, C. Z.
Chen, C. P.
Zhou, G. W.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Qian, C. Z.& Chen, C. P.& Zhou, G. W.. 2014. Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1037741
Modern Language Association (MLA)
Qian, C. Z.…[et al.]. Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1037741
American Medical Association (AMA)
Qian, C. Z.& Chen, C. P.& Zhou, G. W.. Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1037741
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1037741