Journal of Vibration Testing and System Dynamics
Nonhorizontally Suspended Cable Dynamics with Flexible Tower Modulations
Journal of Vibration Testing and System Dynamics 2(1) (2018) 2132  DOI:10.5890/JVTSD.2018.03.003
TieDing Guo, LianHua Wang, HouJun Kang, YueYu Zhao
College of Civil Engineering, Hunan University, Changsha, Hunan, 410082, P. R. China
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Abstract
Based upon an asymptotically reduced coupled model, nonlinear forced vibrations of a nonhorizontally suspended cable is investigated in this paper, which is coupled with a ﬂexible oscillating tower. The cable’s nonlinear coupled dynamics is a modulated version of cable’s uncoupled dynamics, i.e., the cable dynamics with ﬁxed rigid towers. Nonlinear frequency responses of the cabletower coupled system are found, with saddlenode bifurcations, Hopf bifurcations, and quasiperiodic behaviors detected. Special attentions are paid to the dynamic eﬀects caused by cabletower coupling, boundary damping, and the inclinations.
Acknowledgments
The authors appreciate all the efforts from Prof. Lenci, Polytechnic University of Marche, Italy, for the kind help and invitation. This study is supported by National Natural Science Foundation of China under Grant Nos. 11502076 and 11572117. It is also funded by Provincial Science Foundation of Hunan (No.2017JJ3029) and Program for Supporting Young Investigators, Hunan University.
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