Rotating disk with friction on the boundary

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SUMMARY

The discussion centers on the analytical determination of radial, tangential, and shear stress in a 2D rotating disk system with friction at the boundary. The user is specifically seeking solutions that incorporate friction and body load, as traditional resources have not addressed these factors. They have attempted to apply the Airy's function method but encountered issues with the resulting values. Recommendations for additional literature, particularly Shigley's Machine Design, are requested to enhance understanding of this complex problem.

PREREQUISITES
  • Understanding of 2D stress analysis
  • Familiarity with Airy's function method
  • Knowledge of friction mechanics
  • Basic principles of rotational dynamics
NEXT STEPS
  • Research the application of Airy's function in frictional contexts
  • Study the stress analysis of rotating disks in Shigley's Machine Design
  • Explore advanced friction models in mechanical systems
  • Investigate numerical methods for solving complex stress problems
USEFUL FOR

Mechanical engineers, students studying rotational dynamics, and researchers focusing on stress analysis in materials will benefit from this discussion.

Fabiez
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Hi everybody!

I'm having some problem with the following system...

I have a 2D problem, a disk is rotating with constant velocity, but there is a friction on the boundary due to the contact between the disk and the surrounding material. I'd like to find the analytical formula of the radial, tangential and shear stress.

I've read many books but in each book the problem is solved without friction and without bodyload. If you have more specific books to suggest I'll be very happy!

I've tried to use the Airy's function method, but I'm not sure, also because the fomula that I've obtained yield to strange value.. can anyone suggest me how to solve such a problem?
 
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There may be something in Shigleys machine design book?
 

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