Dear,
If I understood properly, you are supporting in vertical direction a pipe (restraint in y direction up and down), and all around the support (up and down) there is a rubber, that is able to be compressed because is not rigid.
If it is like that (and you want to be so accurate) you can model not rigid restraints, this is, including the stiffness of the not rigid element supporting the pipe in the direction it is not rigid.
Regards.