Theoretical and Numerical Analysis of 1 : 1 Main Parametric Resonance of Stayed Cable Considering Cable-Beam CouplingReport as inadecuate

Theoretical and Numerical Analysis of 1 : 1 Main Parametric Resonance of Stayed Cable Considering Cable-Beam Coupling - Download this document for free, or read online. Document in PDF available to download.

Advances in Materials Science and Engineering - Volume 2017 2017, Article ID 6948081, 10 pages -

Research Article

School of Transportation and Civil Engineering and Architecture, Foshan University, Foshan, Guangdong 528000, China

Faculty of Civil and Architectural Engineering, East China University of Technology, Nanchang, Jiangxi 330013, China

College of Engineering, Department of Architectural Engineering, Kangwon National University, Chuncheon 200-701, Republic of Korea

College of Civil Engineering, Hunan University, Changsha, Hunan 410082, China

Correspondence should be addressed to Feng-Chen Li

Received 5 October 2016; Accepted 4 December 2016; Published 26 January 2017

Academic Editor: Luigi Nicolais

Copyright © 2017 Li-Na Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For the 1 : 1 main parametric resonances problems of cable-bridge coupling vibration, a main parametric resonances model considering cable-beam coupling is developed and dimensionless parametric resonances differential equations are derived. The main parametric resonances characteristics are discussed by means of multiscale approximation solution methods. Using an actual cable of cable-stayed bridge project for research object, numerical simulation analysis under a variety of conditions is illustrated. The results show that when the coupling system causes 1 : 1 parametric resonance, nonlinear main parametric resonances in response are unrelated to initial displacement of the cable, but with the increase of deck beam end vertical initial displacement increases, accompanied with a considerable -beat- vibration. When the vertical initial displacement of deck beam end is 10−6 m order of magnitude or even smaller -beat- vibration phenomenon of cable and beam appears. Displacement amplitude of the cable is small and considerable amplitude vibration may not occur at this time, only making a slight stable -beat- vibration in the vicinity of the equilibrium position, which is different from 2 : 1 parametric resonance condition of cable-bridge coupling system. Therefore, it is necessary to limit the initial displacement excitation amplitude of beam end and prevent the occurrence of amplitude main parametric excitation resonances.

Author: Li-Na Zhang, Feng-Chen Li, Xiao-Yong Wang, and Peng-Fei Cui



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