Ball-in-socket contact

[yaston4]

Dear all,

I am looking at a problem which involves the contact mechanics of a ball in socket joint. I have been using Hertz theory and Timoshenko to study the contact pressure between the ball and socket joint. However, I also need to study the contact mechanics between the radius on the socket joint and the ball. From FE results, I know that the contact here is more elliptical and the contact stresses are higher. I just wondered if anyone know of any analytical models/theoretical models which can be used to study the contact when the ball contacts the radius of the socket.

Many Thanks

 

[GregLocock]

Yes, Hertz solves for positive, infinite, and negative radii for the outer surface, ie ball on ball, ball on plane, and ball in socket, respectively.

Cheers

Greg Locock


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[yaston4]

Thanks, Greg Lock, but I am not sure that this theory applies on the edge of the socket, where you have a discontinuity in the contact.

I appreciate everyone's input, thanks.

 

[GregLocock]

I suggest you read Timoshenko on the subject. What makes you think ball on plane doesn't have discontinuities?

Cheers

Greg Locock


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