Journal of Applied Mathematics

Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings

Cai-Wan Chang-Jian, Shiuh Ming Chang, and Hsieh-Chung Hsu

Full-text: Open access

Abstract

A systematic analysis of the dynamic behavior of a gear-bearing system with nonlinear suspension, couple-stress fluid flow effect, nonlinear oil-film force, and nonlinear gear mesh force is performed in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless rotational speed ratio as a control parameter. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, Lyapunov exponents and fractal dimension of the gear-bearing system. The numerical results reveal that the system exhibits a diverse range of periodic, subharmonic, quasiperiodic, and chaotic behaviors. The couple-stress fluid would be a useful lubricating fluid to suppress nonlinear dynamic responses and improve the steady of the systems. The results presented in this study provide some useful insights into the design and development of a gear-bearing system for rotating machinery that operates in highly rotational speed and highly nonlinear regimes.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 527878, 20 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331818316

Digital Object Identifier
doi:10.1155/2012/527878

Mathematical Reviews number (MathSciNet)
MR2854983

Citation

Chang-Jian, Cai-Wan; Chang, Shiuh Ming; Hsu, Hsieh-Chung. Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings. J. Appl. Math. 2012 (2012), Article ID 527878, 20 pages. doi:10.1155/2012/527878. https://projecteuclid.org/euclid.jam/1331818316


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