Modelling and analysis of vibrations on an aerial cable car system with moving mass

Cesar Augusto Fonseca (1) , Guilherme Rodrigues Sampaio (2) , Geraldo F de S Rebouças (3) , Marcelo Pereira (4) , Americo Cunha Jr (4)

1 Marinha do Brasil
2 RIO analytics
3 NTNU - Norwegian University of Science and Technology
4 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]

The main purpose of this work is to study the nonlinear dynamics of an aerial cable car system. The mechanical system presented consists of two cables, a traction cable, and a supporting cable. The car is modeled as a concentrated mass pulled by a traction cable. The mathematical model is described as a mass-spring system attached to a time-varying length cable. The effects of the pulling speed shall generate nonlinear features due to the coupling between the cable and the car and due to external excitation.

Mots clés: cable car system; nonlinear dynamics; moving boundary problem; time-scale separation

Domaines: Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Systèmes dynamiques [math.DS]

Cesar Augusto Fonseca, Guilherme Rodrigues Sampaio, Geraldo F de S Rebouças, Marcelo Pereira, Americo Cunha Jr. Modelling and analysis of vibrations on an aerial cable car system with moving mass. W. Lacarbonara; B. Balachandran; M. J. Leamy; J. Ma; J. A. Tenreiro Machado; G. Stepan. Modelling and Analysis of Vibrations on an Aerial Cable Car System with Moving Mass, 1, Springer, Cham, pp.237-246, 2022, Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series, ⟨10.1007/978-3-030-81162-4_21⟩. ⟨hal-03130836v2⟩