The Foundation of the Sommerfeld Transformation

[+] Author and Article Information
Clarence J. Maday

Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910

J. Tribol 124(3), 645-646 (May 31, 2002) (2 pages) doi:10.1115/1.1467596 History: Revised July 03, 2001; Online May 31, 2002; Received February 28, 2012
Copyright © 2002 by ASME
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Reynolds,  O., 1886, “On the Theory of Lubrication and its Application to Mr. Beauchamp Tower’s Experiments, Including an Experimental Determination of the Viscosity of Olive Oil,” Proc. R. Soc. London, Ser. A, 117 (pt. 1), p. 157.
Sommerfeld,  A., 1904, “Zur hydrodynamischen Theorie der Schmiermittelreibung,” Z. Math. Phys., 50, p. 97.
Trumpler, P., 1966, Design of Film Bearings, MacMillan.
Dowson, D., 1979, History of Tribology, Longman Group Limited, UK.
Dowson, D., 1998, History of Tribology, Second Edition, Professional Engineering Publishing Limited, UK.
Sommerfeld, A., 1942, Mechanics, (translated from 4th German edition by Martin O. Stern), Academic Press.
Boswall, R., 1928, The Theory of Film Lubrication, Longman, Greens and Co., London.
Moulton, F. R., 1914; An Introduction to Celestial Mechanics, Second Revised Edition, MacMillan Company.


Grahic Jump Location
Geometry of an elliptical orbit showing the eccentric anomaly (journal bearing central angle) θ and the true anomaly (Sommerfeld variable) ϕ



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