ON THE TIME DEPENDENT EFFECTS OF SELF-ACTING GAS DYNAMIC JOURNAL BEARINGS

Technical Report · Thu Feb 15 04:00:00 EST 1962

OSTI ID:4819046

Pan, C H.T.

Time dependence of the isothermal Reynolds equation can be identified to consist of one part which depends on the initial condition of the fluid film and another part which is related to the motion of the journal. The latter is proposed to be named intrinsic time dependence.'' The partial differential equation for the intrinsically'' time dependent problem is of the ellipitical type. A perturbation method to solve this equation, based on the assumption of small time dependent effects, is developed. Beginning with the steady state solution, the governing equations for various time dependent orders are developed in succession. The recurrence relation for these equations is established. For the case of a nearly concentric journal undergoing a small translatory motion, closed form solutions are obtained for intrinsic'' time dependent effects up to the second order. This analysis permits the computation of 'intrinsically'' time dependent fluid film forces once and for all, which can then be used for the stability analysis of all steady state rotor motions. (auth)

• Research Organization: Mechanical Technology Inc., Latham, N.Y.
• NSA Number: NSA-16-023805
• OSTI ID: 4819046
• Report Number(s): TID-15212; MTI-62TR1
• Country of Publication: United States
• Language: English

Related Subjects

BEARINGS
DIFFERENTIAL EQUATIONS
ENGINEERING AND EQUIPMENT
FLUID FLOW
LAYERS
LUBRICANTS
LUBRICATION
PERTURBATION THEORY
ROTATION
STABILITY