论文信息 - Pressure Spikes and Stability Considerations in Elastohydrodynamic Lubrication Models

Pressure Spikes and Stability Considerations in Elastohydrodynamic Lubrication Models

Analytical tools useful in mathematical modeling of the elastohydrodynamic lubrication are developed. Stability maps which delimit the applicability of the two parameter EHL model are computed using linearized stability analysis and numerical analytic continuation. An exact solution is derived (jor a region of constant film thickness within the lubricant) which explains the nature of a class of pressure spikes which arise under severe conditions. The relationship between stability and pressure spikes is discussed.

M. M. Kostreva

[1] I. Stakgold. Green's Functions and Boundary Value Problems , 1979 .

[2] Mjw Jeu Schouten. Einfluss elastohydrodynamischer Schmierung auf Reibung, Verschleiss und Lebensdauer von Getrieben , 1973 .

[3] C. Taylor,et al. A Numerical Solution of the Elastohydrodynamic Lubrication Problem Using Finite Elements , 1972 .

[4] D. Dowson,et al. Elasto-hydrodynamic lubrication , 1977 .

[5] Elastohydrodynamic lubrication of rectangular contacts , 1983 .

[6] K. Herrebrugh,et al. Solving the Incompressible and Isothermal Problem in Elastohydrodynamic Lubrication Through an Integral Equation , 1968 .

[7] W. Rudin. Nonuniqueness and Growth in First-Order Differential Equations , 1982 .

[8] K. Herrebrugh,et al. Elastohydrodynamic Squeeze Films Between Two Cylinders in Normal Approach , 1970 .

[9] M. Kostreva,et al. On a Direct Algorithm for Nonlinear Complementarity Problems , 1978 .

[10] K. P. Oh,et al. A unified treatment of thick and thin film elastohydrodynamic problems by using higher order element methods , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[11] B. Sternlicht,et al. A Numerical Solution for the Pressure, Temperature, and Film Thickness Between Two Infinitely Long, Lubricated Rolling and Sliding Cylinders, Under Heavy Loads , 1965 .