Can Moment of Inertia Be Transferred Between Two Rotating Bodies in Contact?

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SUMMARY

The discussion focuses on the transfer of moment of inertia between two rotating bodies in contact, specifically in the context of a clutch model simulation. The user integrates motion equations based on whether the clutch is locked or slipping, with torque transfer influenced by the friction capacity of the clutch material. The key inquiry is whether moment of inertia can be exchanged between the bodies as friction increases, and if there are established formulae to describe this phenomenon. The conversation also touches on the relationship between moment of inertia and angular momentum.

PREREQUISITES
  • Understanding of clutch dynamics and state machine modeling
  • Familiarity with moment of inertia and angular momentum concepts
  • Knowledge of torque transfer mechanics in rotating systems
  • Basic principles of rotational kinetic energy
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  • Research the equations governing moment of inertia transfer in rotating bodies
  • Explore the principles of conservation of angular momentum in mechanical systems
  • Study the effects of friction on torque transfer in clutches
  • Investigate advanced clutch modeling techniques in simulation software
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Mechanical engineers, simulation developers, and researchers interested in clutch dynamics and rotational mechanics will benefit from this discussion.

ZachGriffin
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Hi Guys,

I've written a clutch model for my simulation based off a few papers I've read which basically deal with it as a state machine; that is there are two separate equations to integrate the motion when it is either locked or slipping. I'm interested to find out if this can be dealt with in the same equations of motion regardless of which state the clutch is in.

Currently when the clutch is slipping I integrate the input and output shafts separately with torque transferred between them based of the friction capacity of the clutch material. When it is locked, I integrate them as one system.

My main question revolves around how the moment of inertia is transferred between two rotating bodies that are in contact with each other. I'm assuming that as friction between the bodies increases, a quantity of inertia is both lost and gained from one another? Are there any formulae that deal with this situation? Let me know if that's clear
 
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The moment of inertia (MOI) is a characteristic of a solid body, just like mass is in linear motion. You might mean angular momentum, which is MOI times the angular rotation rate (radians per second). Conservation of angular momentum is the rotational equivalent of conservation of (linear) momentum.

Bob S
 

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