The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Transactions ID Number: 28-655
Full Name: Alfayo Alugongo
Position: Associate Professor
Age: ON
Sex: Male
Address: P.O. BOX Private Bag X06, Florida 1710
Country: SOUTH AFRICA
Tel: 0027792860799
Tel prefix: 00027792860799
Fax: 0027471-2142
E-mail address: alugoaa@unisa.ac.za
Other E-mails: alugongo@yahoo.com
Title of the Paper: Modeling the nonlinear vibration response of a cracked rotor byTime Delay and Embedding Technique
Authors as they appear in the Paper: Alfayo A Alugongo
Email addresses of all the authors: alugoaa@unisa.ac.za,alugongo@yahoo.com
Number of paper pages: 10
Abstract: In this paper, a non-linear model for a cracked rotor is established based on constitutive equations and local flexibility due to a transverse breathing crack on a rotor shaft. The crack is characterized by a switching function and change in shaft stiffness, whose variation and value defines the closing-opening or breathing condition of the crack during rotation of the shaft. The model accounts for the rotor shaft weakening parallel and perpendicular to the direction of the crack opening. The system equation bears discontinuity, and its numerical solution exhibits bifurcation and chaos. The model is used to investigate the dynamics of the vibrating rotor system, and the crack force reconstructed' by Time delay and Embedding Technique. The crack force manifests the action of the crack on the rotor. It is observed that the largest computed Lyapunov exponent of the simulated time series is a good and sufficient indicator of the system's chaotic state. Various scenari!
os of the system at sub-critical and super-critical speeds have been simulated and discussed.
Keywords: Bifurcation, Chaos, Lyapunov exponent, Cracked rotor dynamics, Switching function
EXTENSION of the file: .pdf
Special (Invited) Session: Reconstruction of nonlinear dynamics of a cracked rotor by Time Delay and Embedding Technique
Organizer of the Session: 593086
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