Nonlinear dynamics and chaos of a nonsmooth rotor-stator system
type: Item
instance of: scholarly article
title: Nonlinear dynamics and chaos of a nonsmooth rotor-stator system
zbMATH Open document ID: 1426.70028
DOI: 10.1155/2017/8478951
author: André Brandão
author: Aline Souza de Paula
author: F. Thouverez
author: Marcelo Amorim Savi
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 6972577
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8478951
OpenAlex ID: W2762615324
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description: scientific article; zbMATH DE number 6972577