Warner–Sommerfeld Impedance and Mobility Maps

S. Boedo; J. F. Booker

doi:10.1115/1.4031753

Journal of Tribology | Volume 138 | Issue 3 | Technical Brief

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Technical Brief

Warner–Sommerfeld Impedance and Mobility Maps

S. Boedo and J. F. Booker

[+] Author and Article Information

S. Boedo

Department of Mechanical Engineering,
Rochester Institute of Technology,
Rochester, NY 14623

J. F. Booker

Sibley School of Mechanical and Aerospace Engineering,
Cornell University,
Ithaca, NY 14853

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 15, 2015; final manuscript received October 3, 2015; published online November 24, 2015. Assoc. Editor: Mihai Arghir.

J. Tribol 138(3), 034502 (Nov 24, 2015) (5 pages) Paper No: TRIB-15-1270; doi: 10.1115/1.4031753 History: Received July 15, 2015; Revised October 03, 2015

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Abstract

This note provides additional graphical representations and curve-fit expressions for characteristics of the Warner–Sommerfeld approximate solution of the Reynolds equation for cavitating journal finite bearings. In particular, curve-fit expressions for mobility components, end-leakage factor, and positive film pressure extent are provided in support of previously published graphical representations of the data.

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Fig. 1

Journal bearing geometry: pure squeeze, specified journal center velocity

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Fig. 2

Sample pressure distributions: Warner–Sommerfeld film model

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Fig. 3

Factor λ in velocity frame

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Fig. 4

Relative magnitude error for previously published long bearing impedance curve-fit [8]

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Fig. 5

Journal bearing geometry: pure squeeze, specified load

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Fig. 6

Initial angle of positive film extent

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Fig. 7

Relative magnitude error for long bearing mobility and lambda curve-fits

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Fig. 8

Absolute direction error for long bearing mobility curve-fits

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Fig. 9

Relative magnitude error for factor Π curve-fits

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Boedo SS, Booker JF. Warner–Sommerfeld Impedance and Mobility Maps. ASME. J. Tribol. 2015;138(3):034502-034502-5. doi:10.1115/1.4031753.

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Warner–Sommerfeld Impedance and Mobility Maps

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