How to constraint+bend

[xSilv]

Hi,

for my paper i simulate a plate bending machine. I have tested and did some manuals of blender. Now i have created a plate and a cilinder as in the file in attachement.
How can i make constraints on my plate (let's say on the four sides of the plate)

and let the plate bend according to the force and contact point?

For now in logic, i just set the gravity on 0 and use rigid body.. how can i set softbody without letting it fall?

thx in advance