A Fluid Film Squeezed Between Two Rotating Parallel Plane Surfaces

1985 ◽  
Vol 107 (1) ◽  
pp. 110-115 ◽  
Author(s):  
E. A. Hamza
Keyword(s):  
Numerical Solution ◽  
Nonlinear Equations ◽  
Load Capacity ◽  
Equations Of Motion ◽  
Analytic Solutions ◽  
Parallel Plane ◽  
Fluid Film ◽  
Inertial Forces ◽  
Nonlinear Equations Of Motion ◽  
Radial Outflow

This paper is concerned with the motion of a fluid film squeezed between two rotating parallel plane surfaces. Attention is given to the case of impulsive squeezing and impulsive rotation. Approximate analytic solutions are obtained and a numerical solution to the full nonlinear equations of motion is presented. The results show that the centrifugal inertial forces increase the radial outflow and reduce considerably the load capacity while the noncentrifugal inertial forces increase the torque.

A fluid film squeezed between two parallel plane surfaces

1981 ◽  
Vol 109 ◽  
pp. 147-160 ◽  
Author(s):  
E. A. Hamza ◽  
D. A. Macdonald
Keyword(s):  
Finite Difference ◽  
Equations Of Motion ◽  
The Other ◽  
Parallel Plane ◽  
Fluid Film ◽  
Uniform Motion ◽  
Difference Analysis ◽  
State Of Rest ◽  
Nonlinear Equations Of Motion ◽  
Special Case

We study the motion which results when a fluid film is squeezed between two parallel plane surfaces in relative motion. Particular attention is given to the special case where one surface is fixed and the other is rapidly accelerated from a state of rest to a state of uniform motion. The analysis is based in part on linear theory and in substance on a finite-difference analysis of the full nonlinear equations of motion.

On the Parametric Excitation of Pendulum-Type Vibration Absorber

1961 ◽  
Vol 28 (3) ◽  
pp. 330-334 ◽  
Author(s):  
Eugene Sevin
Keyword(s):  
Energy Transfer ◽  
Numerical Solution ◽  
Parametric Excitation ◽  
Equations Of Motion ◽  
Vibration Absorber ◽  
Single Cycle ◽  
Linearized System ◽  
Nonlinear Equations Of Motion ◽  
Beam Oscillation ◽  
Energy Interchange

The free motion of an undamped pendulum-type vibration absorber is studied on the basis of approximate nonlinear equations of motion. It is shown that this type of mechanical system exhibits the phenomenon of auto parametric excitation; a type of “instability” which cannot be accounted for on the basis of the linearized system. Complete energy transfer between modes is shown to occur when the beam frequency is twice the simple pendulum frequency. On the basis of a numerical solution, approximately 150 cycles of the beam oscillation take place during a single cycle of energy interchange.

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