How to add 3D contact joint between 39 lotto balls/spheres

My model is lotto machine with 39 balls/spheres. I have succesfully made Inventor Dynamic simulation with 12 balls. But number of joints increase dramatically if I want to make DS with 39 balls.

PROBLEM: How to make 3D contact joint between 39 spheres?

See my simulation Lotto machine + simulation

BUT

I have done this simulation very hard way. 3D contact between all balls and machine rails and machine sphere and hook sure.

BUT2

Ball 1, contact between 2,3,4,5,6,7,8,9,10,11,12
Ball 2, contact between 3,4,5,6,7,8,9,10,11,12
Ball 3, contact between 4,5,6,7,8,9,10,11,12
...
...
...
Ball 11, contact between 12

I don't want to do manually these contacts with 39 balls. It will give me 38+37+36...+1 contacts (aritmetic serie) = 741 3D contact joints. HUH!

Any idea and I would be grateful

Yours Sincerely, Leo Kiviluoma, also PM: antero.kiviluoma@gmail.com

PS. If You want to try DS Yourself, You can download my model assembly .rar (machine, balls, all parts included) from forum.

Are you sure you need solve _contact_bodies_problem_ (elastic or plastic)?
Or you need kinematics problem solve?
"Finite bodies modeling" help you. But it it can be solved in external soft, like "Code Aster" or other...

I think this would be a very good application for the Discrete Element Method.
This looks like a very similar problem to this one: