Abstract
The dynamics of a pendulum cable with a special constitutive law subjected to a time-dependent velocity is investigated. The Coulomb friction between the cable of pendulum and its support taking into account the effects of the support is considered. To predict system behaviors, the multiple scales method is endowed leading to spot the evolution of the angle and the length of the pendulum. The study permits to enlighten the effects of velocity, friction and the radius of the wheel support on the overall system response and its stability.
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Acknowledgements
The authors thank the following organizations for supporting this research: (1) The “Ministère de la transition écologique et solidaire” and (2) LABEX CELYA (ANR-10-LABX-0060) of the “Université de Lyon” within the program “Investissement d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR).
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Bertrand, C., Ture Savadkoohi, A. & Lamarque, CH. Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support. Nonlinear Dyn 96, 1303–1315 (2019). https://doi.org/10.1007/s11071-019-04854-5
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DOI: https://doi.org/10.1007/s11071-019-04854-5