A Bounded Variable Approach to the Optimum Slider Bearing

[+] Author and Article Information
C. J. Maday

Department of Engineering Mechanics, North Carolina State University, Raleigh, N. C.

J. of Lubrication Tech 90(1), 240-242 (Jan 01, 1968) (3 pages) doi:10.1115/1.3601542 History: Received May 20, 1966; Online August 23, 2011


Contemporary methods for treating inequality constraints in the calculus of variations are employed to determine the maximum load-capacity one-dimensional slider bearing using a lubricant with pressure-dependent viscosity. A lower bound on the minimum film thickness is put into equational form to facilitate the use of the Euler-Lagrange equations, the corner conditions, and the Weierstrass E-function. It is found that, for typical lubricants, the slider bearing contains only one step separting two values of the film thickness. It is shown also that there exist cases for which a solution cannot be obtained to describe a real situation.

Copyright © 1968 by ASME
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