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

< Previous Article

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

Article

References

Figures

Tables

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.

FIGURES IN THIS ARTICLE

Purchase this Content

$25.00

Purchase

Learn about subscription and purchase options

Your Session has timed out. Please sign back in to continue.

References

Booker, J. F. , 1965, “ Dynamically Loaded Journal Bearings: Mobility Method of Solution,” ASME J. Basic Eng., 87(3), pp. 537–546. [CrossRef]

Booker, J. F. , 1971, “ Dynamically Loaded Journal Bearings: Numerical Application of the Mobility Method,” ASME J. Lubr. Technol., 93(1), pp. 168–176, Errata: p. 315. [CrossRef]

Booker, J. F. , 2014, “ Mobility/Impedance Methods: A Guide for Application,” ASME J. Tribol., 136(2), p. 024501. [CrossRef]

Childs, D. , Moes, H. , and van Leeuwen, H. , 1977, “ Journal Bearing Impedance Descriptions for Rotordynamic Applications,” ASME J. Lubr. Technol., 99(2), pp. 198–214. [CrossRef]

Oberg, E., Horton, H. L., Jones, F. D., and Ryffel, H. H., 2008, Machinery’s Handbook, 28th ed., Industrial Press, New York, p. 2236.

Jakeman, R. W. , 1989, “ Influence of Sterntube Bearings on Lateral Vibration Amplitudes in Marine Propeller Shafting,” Tribol. Int., 22(2), pp. 125–136. [CrossRef]

Xing, H. , Wu, Q. , Wu, Z. , and Duan, S. , 2012, “ Elastohydrodynamic Lubrication Analysis of Marine Sterntube Bearing Based on Multi-Body Dynamics,” Energy Procedia, 16, pp. 1046–1051. [CrossRef]

Moes, H. , and Bosma, R. , 1981, “ Mobility and Impedance Definitions for Plain Journal Bearings,” ASME J. Lubr. Technol., 103(3), pp. 468–470. [CrossRef]

Booker, J. F. , 1969, “ Dynamically Loaded Journal Bearings: Maximum Film Pressure,” ASME J. Lubr. Technol., 91(3), pp. 534–543. [CrossRef]

Moes, H. , 1969, “ Discussion, IMechE 1969 Tribology Convention, Gotherburg,” Proc. Inst. Mech. Eng., 183, pp. 205–206.

Goenka, P. K. , 1984, “ Analytical Curve Fits for Solution Parameters of Dynamically Loaded Journal Bearings,” ASME J. Tribol., 106(4), pp. 421–428. [CrossRef]

Warner, P. C. , 1963, “ Static and Dynamic Properties of Partial Journal Bearings,” ASME J. Basic Eng., 85(2), pp. 247–257. [CrossRef]

Booker, J. F. , 1965, “ A Table of the Journal-Bearing Integral,” ASME J. Basic Eng., 87(2), pp. 533–535. [CrossRef]

Schmidt, M. , and Lipson, H. , 2009, “ Distilling Free-Form Natural Laws From Experimental Data,” Science, 324(5923), pp. 81–85. [CrossRef] [PubMed]

Booker, J. F. , and Huebner, K. H. , 1972, “ Application of Finite Element Methods to Lubrication: An Engineering Approach,” ASME J. Lubr. Technol., 94(4), pp. 313–323. [CrossRef]

Figures

Fig. 1

Journal bearing geometry: pure squeeze, specified journal center velocity

View Large | Save Figure | Download Slide (.ppt)

Fig. 2

Sample pressure distributions: Warner–Sommerfeld film model

View Large | Save Figure | Download Slide (.ppt)

Fig. 3

Factor λ in velocity frame

View Large | Save Figure | Download Slide (.ppt)

Fig. 4

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

View Large | Save Figure | Download Slide (.ppt)

Fig. 5

Journal bearing geometry: pure squeeze, specified load

View Large | Save Figure | Download Slide (.ppt)

Fig. 6

Initial angle of positive film extent

View Large | Save Figure | Download Slide (.ppt)

Fig. 7

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

View Large | Save Figure | Download Slide (.ppt)

Fig. 8

Absolute direction error for long bearing mobility curve-fits

View Large | Save Figure | Download Slide (.ppt)

Fig. 9

Relative magnitude error for factor Π curve-fits

View Large | Save Figure | Download Slide (.ppt)

Tables

Errata

Web of Science® Times Cited: 0

Some tools below are only available to our subscribers or users with an online account.

Sections
PDF
Email

You must be logged in as an individual user to share content.

Return to: Warner–Sommerfeld Impedance and Mobility Maps

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.
Share
Get Citation

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

Download citation file:

RIS (Zotero)

EndNote

BibTex

Medlars

ProCite

RefWorks

Reference Manager

© Copyright
Get Alerts

Processing your request... Please Wait.

Warner–Sommerfeld Impedance and Mobility Maps

Abstract

FIGURES IN THIS ARTICLE

References

Figures

Tables

Errata

Related

Related Content

Journals

Conference Proceedings

eBooks