Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation
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 fo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/183257 |
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| _version_ | 1832551029429764096 |
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| author | C. Z. Qian C. P. Chen G. W. Zhou |
| author_facet | C. Z. Qian C. P. Chen G. W. Zhou |
| author_sort | C. Z. Qian |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-29f56ef8137742b196892dc4e2ef7b6d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-29f56ef8137742b196892dc4e2ef7b6d2025-02-03T06:05:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/183257183257Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced ExcitationC. Z. Qian0C. P. Chen1G. W. Zhou2College of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen, Fujian 361024, ChinaCollege of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen, Fujian 361024, ChinaCollege of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen, Fujian 361024, ChinaConsidering 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.http://dx.doi.org/10.1155/2014/183257 |
| spellingShingle | C. Z. Qian C. P. Chen G. W. Zhou Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation Journal of Applied Mathematics |
| title | Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation |
| title_full | Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation |
| title_fullStr | Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation |
| title_full_unstemmed | Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation |
| title_short | Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation |
| title_sort | nonlinear dynamical analysis for the cable excited with parametric and forced excitation |
| url | http://dx.doi.org/10.1155/2014/183257 |
| work_keys_str_mv | AT czqian nonlineardynamicalanalysisforthecableexcitedwithparametricandforcedexcitation AT cpchen nonlineardynamicalanalysisforthecableexcitedwithparametricandforcedexcitation AT gwzhou nonlineardynamicalanalysisforthecableexcitedwithparametricandforcedexcitation |