Stochastic dynamics of a variable inertia system via Lyapunov exponents

Asokanthan, S. F., Wang, X. H., Wedig, W. V. and Ariaratnam, S. T. (2009). Stochastic dynamics of a variable inertia system via Lyapunov exponents. In: 2008 Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2008. 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008, Boston, MA United States, (749-755). 31 October - 6 November 2008. doi:10.1115/IMECE2008-68497


Author Asokanthan, S. F.
Wang, X. H.
Wedig, W. V.
Ariaratnam, S. T.
Title of paper Stochastic dynamics of a variable inertia system via Lyapunov exponents
Conference name 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Conference location Boston, MA United States
Conference dates 31 October - 6 November 2008
Proceedings title 2008 Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Series ASME International Mechanical Engineering Congress and Exposition (IMECE), Proceedings
Place of Publication New York, NY United States
Publisher ASME
Publication Year 2009
Year available 2009
Sub-type Fully published paper
DOI 10.1115/IMECE2008-68497
ISBN 9780791848722
9780791838402
Volume 11
Start page 749
End page 755
Total pages 7
Collection year 2009
Language eng
Abstract/Summary Torsional instabilities in a single-degree-of-freedom system having variable inertia are investigated by means of Lyapunov exponents. Linearised analytical model is used for the purpose of stability analysis. Numerical schemes for simulating the top Lyapunov exponent for both deterministic and stochastic systems are established. Instabilities associated with the primary and the secondary sub-harmonic resonances have been identified by studying the sign of the top Lyapunov exponent. Predictions for the deterministic and the stochastic cases are compared. Instability conditions have been presented graphically in the excitation frequency-excitation amplitude-top Lyapunov exponent space. The effects of fluctuation density as well as that of damping on the stability behaviour of the system have been examined. Predicted instability conditions are adequate for the design of a variable-inertia system so that a range of critical speeds of operation may be avoided. Copyright
Subjects 2210 Mechanical Engineering
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Conference Paper
Collection: School of Mechanical & Mining Engineering Publications
 
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