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

Joint Authors

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

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-10-21

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chang-Jian, Cai-Wan& Chang, Shiuh Ming& Hsu, Hsieh-Chung. 2011. Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1028921

Modern Language Association (MLA)

Chang, Shiuh Ming…[et al.]. Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-1028921

American Medical Association (AMA)

Chang-Jian, Cai-Wan& Chang, Shiuh Ming& Hsu, Hsieh-Chung. Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1028921

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1028921