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What's the best approach for connecting Flex to Rigid bodies

Hello,
 
I am trying to model a flexible body between two rigid bodies. I want the flexible body to be compressed or depressed based on the motion of the bottom and top rigid bodies.
 
In this picture, the blue and green parts are rigid bodies, and the red part is a flexible body.
flexibleBody
I created 2 RBE2 elements on the top and bottom of the flexible body.
 
I created a fixed joint between the RBE2 on top of the red part and a marker on the bottom of the blue part. I created another fixed joint between the RBE2 on the bottom of the flexible part and a marker on the top of the green part.
 
I investigated the force at the connection points when I increased the stiffness of the flexible body. I observed that the force remained the same at the connection points and stress in the elements increased instead. It seems like the model is imposing the same force signal coming from the rigid bodies to the flexible body. (which is not what I want; I want the motion of the rigid bodies to drive the problem)
 
I tried to use RBE3 instead of RBE2, but it's not possible to create fixed joints between RBE3 and a marker on the rigid body. It throws lots of errors indicating there are redundant constraints in the model. I tried to create a general motion instead but the same error was shown.
 
I am wondering what is the best connection type for the purpose of my problem.
 
fixed joint vs. general motion
RBE2 vs. RBE3
 
Thanks,
Hamed