Discussion: “Finite Element Solution of the Steady-State Compressible Lubrication Problem” (Reddi, M. M., and Chu, T. Y., 1970, ASME J. Lubr. Technol., 92, pp. 495–502)

1970 ◽  
Vol 92 (3) ◽  
pp. 502-502
Author(s):  
Donald F. Hays
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Finite Element Solution ◽  
Element Solution

Transient and Steady-State Dynamic Finite Element Modeling of Belt-Drives

2002 ◽  
Vol 124 (4) ◽  
pp. 575-581 ◽  
Author(s):  
Michael J. Leamy ◽  
Tamer M. Wasfy
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Angular Velocity ◽  
Frictional Contact ◽  
Finite Element Solution ◽  
Belt Drive ◽  
Element Solution ◽  
Dynamic Finite Element ◽  
Time Accuracy ◽  
Transient And Steady State

In this study, a dynamic finite element model is developed for pulley belt-drive systems and is employed to determine the transient and steady-state response of a prototypical belt-drive. The belt is modeled using standard truss elements, while the pulleys are modeled using rotating circular constraints, for which the driver pulley’s angular velocity is prescribed. Frictional contact between the pulleys and the belt is modeled using a penalty formulation with frictional contact governed by a Coulomb-like tri-linear friction law. One-way clutch elements are modeled using a proportional torque law supporting torque transmission in a single direction. The dynamic response of the drive is then studied by incorporating the model into an explicit finite element code, which can maintain time-accuracy for large rotations and for long simulation times. The finite element solution is validated through comparison to an exact analytical solution of a steadily-rotating, two-pulley drive. Several response quantities are compared, including the normal and tangential (friction) force distributions between the pulleys and the belt, the driven pulley angular velocity, and the belt span tensions. Excellent agreement is found. Transient response results for a second belt-drive example involving a one-way clutch are used to demonstrate the utility and flexibility of the finite element solution approach.

Finite Element Solution of the Steady-State Compressible Lubrication Problem

1970 ◽  
Vol 92 (3) ◽  
pp. 495-502 ◽  
Author(s):  
M. M. Reddi ◽  
T. Y. Chu
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Reynolds Equation ◽  
Finite Element Solution ◽  
Element Solution ◽  
Variational Formulations

Direct and incremental variational formulations for the steady-state compressible Reynolds’ equation are given. Finite element equations for these are derived and sample solutions are presented.

scholarly journals Finite Element Solution of the Steady-State Smoluchowski Equation for Rate Constant Calculations

2004 ◽  
Vol 86 (4) ◽  
pp. 2017-2029 ◽  
Author(s):  
Yuhua Song ◽  
Yongjie Zhang ◽  
Tongye Shen ◽  
Chandrajit L. Bajaj ◽  
J. Andrew McCammon ◽  
...  
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Rate Constant ◽  
Smoluchowski Equation ◽  
Finite Element Solution ◽  
Element Solution
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