Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support

Charlélie Bertrand (1) , Alireza Ture Savadkoohi (1) , Claude-Henri Lamarque (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The dynamics of a pendular 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 are considered. To predict system behaviors, the multiple scale 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.

Mots clés: Cable pendulum; method of multiple scales; Coulomb friction; Varying length

Domaines: Science non linéaire [physics]; Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Mécanique des structures [physics.class-ph]

Charlélie Bertrand, Alireza Ture Savadkoohi, Claude-Henri Lamarque. Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support. Nonlinear Dynamics, 2019, 96 (2), pp.1303-1315. ⟨10.1007/s11071-019-04854-5⟩. ⟨hal-02055431v2⟩