General solution of Reynolds equation for a journal bearing of finite width
Author:
L. N. Tao
Journal:
Quart. Appl. Math. 17 (1959), 129-136
MSC:
Primary 76.99
DOI:
https://doi.org/10.1090/qam/134092
MathSciNet review:
134092
Full-text PDF Free Access
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Additional Information
O. Reynolds, "On the theory of lubrication," Phil. Trans. Roy. Soc. London, Ser. A, 177, 157-234 (1886)
A. G. M. Michell. "The lubrication of plane surface," Z. Math. u. Phys. 52, 123-137 (1905)
(a) M. Muskat, F. Morgan and M. W. Meres, "The lubrication of plane sliders of finite width," J. Appl. Phy. 11, 208-219 (1940); (b) M. Muskat and F. Morgan, "The theory of the thick film lubrication of a complete journal bearing of finite length," J. Appl. Phy. 9, 393-409 (1938)
A. Sommerfeld, "Zur Hydrodynamischen Theorie der Schmiermittel Reibung," Z. Math. u. Phys. 50, 97-153 (1904)
M. C. Shaw and E. F. Macks, "Analysis and lubrication of bearings," McGraw-Hill Book Co., New York, 1949, p. 242
M. J. Jacobson, A. Charnes and E. Saibel, "The complete journal bearing with circumferential oil inlet," Trans. ASME 77, 1179-1183 (1955)
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
(a) E. T. Whittaker and G. N. Watson, "A course of modern analysis," 4th ed., Cambridge Univ. Press, London, 1952, pp. 576-577; (b) A. Erdelyi (Ed.), "Higher transcendental functions," vol. III, McGraw-Hill Book Co., New York, 1955, pp. 57-62
- Oskar Perron, Die Lehre von den Kettenbrüchen, Chelsea Publishing Co., New York, N. Y., 1950 (German). 2d ed. MR 0037384
A. Kingsbury, "On problems on the theory of fluid film lubrication with an experimental method of solution," Trans. ASME 53, 59-75 (1931)
O. Reynolds, "On the theory of lubrication," Phil. Trans. Roy. Soc. London, Ser. A, 177, 157-234 (1886)
A. G. M. Michell. "The lubrication of plane surface," Z. Math. u. Phys. 52, 123-137 (1905)
(a) M. Muskat, F. Morgan and M. W. Meres, "The lubrication of plane sliders of finite width," J. Appl. Phy. 11, 208-219 (1940); (b) M. Muskat and F. Morgan, "The theory of the thick film lubrication of a complete journal bearing of finite length," J. Appl. Phy. 9, 393-409 (1938)
A. Sommerfeld, "Zur Hydrodynamischen Theorie der Schmiermittel Reibung," Z. Math. u. Phys. 50, 97-153 (1904)
M. C. Shaw and E. F. Macks, "Analysis and lubrication of bearings," McGraw-Hill Book Co., New York, 1949, p. 242
M. J. Jacobson, A. Charnes and E. Saibel, "The complete journal bearing with circumferential oil inlet," Trans. ASME 77, 1179-1183 (1955)
E. L. Ince, "Ordinary differential equations," Dover Publ., New York, 1944, Chap. 10
(a) E. T. Whittaker and G. N. Watson, "A course of modern analysis," 4th ed., Cambridge Univ. Press, London, 1952, pp. 576-577; (b) A. Erdelyi (Ed.), "Higher transcendental functions," vol. III, McGraw-Hill Book Co., New York, 1955, pp. 57-62
O. Perron, "Die Lehre von den Kettenbruchen," Chelsea Publ. Co., New York, 1950, Kap. 7
A. Kingsbury, "On problems on the theory of fluid film lubrication with an experimental method of solution," Trans. ASME 53, 59-75 (1931)
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Article copyright:
© Copyright 1959
American Mathematical Society
