In conventional rotordynamic modeling, hydrodynamic bearings are often characterized by a set of linear stiffness and damping coefficients obtained from a first-order Taylor series expansion of bearing reactions. Theoretically, these coefficients are only valid for small amplitude motion about an equilibrium position. In this paper, a nonlinear dynamic model that overcomes the small amplitude assumption in the conventional linear analysis is described. By including higher-order terms in the bearing reaction expansion, nonlinearity in the oil film forces for large amplitude motion can be captured and represented by a set of nonlinear stiffness and damping coefficients. These coefficients are functions of static bearing displacement. A finite difference approach is described and is used to solve for these coefficients. The stated model is applied to a conventional slider bearing and a mechanical smart slider bearing that experiences large variations in load. Error assessment is performed numerically on the higher-order solutions to determine an acceptable displacement bound for the higher order coefficients.
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July 1998
Research Papers
A Nonlinear Dynamic Model With Confidence Bounds for Hydrodynamic Bearings
Chin S. Chu,
Chin S. Chu
Department of Mechanical Engineering, The University of Texas, Austin, TX
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Kristin L. Wood,
Kristin L. Wood
Department of Mechanical Engineering, The University of Texas, Austin, TX
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Ilene J. Busch-Vishniac
Ilene J. Busch-Vishniac
Department of Mechanical Engineering, The University of Texas, Austin, TX
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Chin S. Chu
Department of Mechanical Engineering, The University of Texas, Austin, TX
Kristin L. Wood
Department of Mechanical Engineering, The University of Texas, Austin, TX
Ilene J. Busch-Vishniac
Department of Mechanical Engineering, The University of Texas, Austin, TX
J. Tribol. Jul 1998, 120(3): 595-604 (10 pages)
Published Online: July 1, 1998
Article history
Received:
June 7, 1995
Revised:
June 16, 1997
Online:
January 30, 2008
Citation
Chu, C. S., Wood, K. L., and Busch-Vishniac, I. J. (July 1, 1998). "A Nonlinear Dynamic Model With Confidence Bounds for Hydrodynamic Bearings." ASME. J. Tribol. July 1998; 120(3): 595–604. https://doi.org/10.1115/1.2834592
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