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Journal of Vibration Testing and System Dynamics 2(1) (2018) 21--32 | DOI:10.5890/JVTSD.2018.03.003

Tie-Ding Guo, Lian-Hua Wang, Hou-Jun Kang, Yue-Yu 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 non-horizontally 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 cable-tower coupled system are found, with saddle-node bifurcations, Hopf bifurcations, and quasi-periodic behaviors detected. Special attentions are paid to the dynamic effects caused by cable-tower 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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