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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8478951, 10 pages
Research Article

Nonlinear Dynamics and Chaos of a Nonsmooth Rotor-Stator System

1Departamento de Engenharia Mecânica, Universidade de Brasília, 70910-900 Brasília, DF, Brazil
2COPPE, Department of Mechanical Engineering, Center for Nonlinear Mechanics, Universidade Federal do Rio de Janeiro, Cx. Postal 68.503, 21941-972 Rio de Janeiro, RJ, Brazil
3École Centrale de Lyon, 36 avenue Guy de Collongue, Écully, France

Correspondence should be addressed to Aline Souza de Paula

Received 15 March 2017; Revised 27 June 2017; Accepted 26 July 2017; Published 9 October 2017

Academic Editor: Jonathan N. Blakely

Copyright © 2017 André Brandão et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Rotor systems have wide applications in industries, including aero engines, turbo generators, and gas turbines. Critical behaviors promoted by the system unbalance and the contact between rotor and stator lead to important nonlinearities on system dynamics. This paper investigates the complex behavior presented by a rotor-stator system’s dynamics due to intermittent contact. A four-degree-of-freedom Jeffcott nonsmooth rotor/stator system is used to describe the rotor behavior, while a viscoelastic suspended rigid cylinder represents the stator. Numerical simulations are carried out showing rich dynamics that include periodic, quasiperiodic, and chaotic responses. Special attention is dedicated to chaotic behavior and the calculation of Lyapunov exponents is employed as a diagnostic tool.