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Free vibration of two taut cables interconnected by a damper
Author(s) -
Zhou Haijun,
Zhou Xianbao,
Yao Guozao,
Sun Limin,
Xing Feng
Publication year - 2019
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2423
Subject(s) - damper , vibration , structural engineering , tuned mass damper , engineering , limit (mathematics) , damping ratio , mathematics , acoustics , mathematical analysis , physics
Summary Connecting cables together to form a cable net could mitigate cable vibration. However, because most of the studies and practices use secondary cables as cross‐ties, little attention has been paid on the connection by dampers. In this paper, a system of two parallel taut cables with an interconnected damper is proposed to mitigate cable vibration. The characteristic equation of the system is derived by applying the transfer matrix method. The analytical special limit solutions, which are corresponding to special kinds of vibration mode, are given for the case when the parameter of the system tends to specific limiting values. Analytical solutions to twin taut cable system, two taut cables with different mass–tension ratios, whereas other cable parameters are the same were also discussed. Parameter studies were further addressed to study effects of cable length ratio and frequency ratio on the third and fourth mode behaviors for two cables system. Different solution regimes with different kinds of modes are discussed as damper interconnected at arbitrary point of cables. Multimode damping optimization method was proposed with the concept of maximizing the average of damping ratio while minimizing the variation for the considered multimodes. The case study for two length cables of a harp system was carried out. It was found that connecting two cables with a properly designed damper could significantly increase multimode damping ratio while slightly increase vibration frequency.