Spring rate of a single split cylinder
Spring rate of a single split cylinder
(OP)
I have a 1" O.D. cylinder with a 3/4" I.D. that is 1 3/4" long.
The cylinder has a slit on one side at full length.
Uniform force will be applied to the O.D. of the cylinder to make the cylinder close in.
I am trying to relate the uniform force to close-in the split cylinder to the change in the outer diameter of the cylinder. Like a spring rate.
Any help to create a formula or free body diagram would greatly be appreciated.
Thank you
Nickjk
The cylinder has a slit on one side at full length.
Uniform force will be applied to the O.D. of the cylinder to make the cylinder close in.
I am trying to relate the uniform force to close-in the split cylinder to the change in the outer diameter of the cylinder. Like a spring rate.
Any help to create a formula or free body diagram would greatly be appreciated.
Thank you
Nickjk





RE: Spring rate of a single split cylinder
... until the slit closes.
So, how do you apply uniformly distributed force to the outside of a split cylinder? I'm drawing a blank on that.
For a first approximation, I'd mentally unwrap the cylinder, and think of the problem as a uniformly distributed load over a plate. ... but that gives a fictitious reaction force.
For a second approximation, I'd mentally unwrap the cylinder, and think of the problem as a uniformly distributed load over _half_ the plate, with the plate/cylinder fixed at the plane of symmetry.
This is starting to make my head hurt...
Mike Halloran
Pembroke Pines, FL, USA
RE: Spring rate of a single split cylinder
I was trying to simplify things a little.
The outside of the cylinder is actually a taper.
The inside of the cylinder is a bore.
The uniform pressure to the outside is applied by a mating detail with the same taper but no split. As the mating detail travels the tapered cylinder closes in.
What I am really trying to find out is how much force is required to make the mating detail travel a certain amount.
Think about it as a collet in a pre-loaded condition.
This makes my head hurt too, sorry.
I could draw a sketch if it would help.
Thanks,
Nick
RE: Spring rate of a single split cylinder
Thanks
Nick
RE: Spring rate of a single split cylinder
Mike Halloran
Pembroke Pines, FL, USA
RE: Spring rate of a single split cylinder
Make sense? My head now hurts....
Cabbages, knickers, It hasn't got A BEAK!
RE: Spring rate of a single split cylinder