How to give veloctiy profile between two nodes of a double acting hydraulic cylinder system in Simscape?

Dear Community,

I'm trying to give a veloctiy profile to a spring-damper/double acting cylinder system (basically, squeeze the system) and sense the force generated on the system with respect to the input velocity. To do this, I'm using Simscape toolbox elements such as double acting cylinders, ideal velocity sources and ideal force sensors. There is no mass in the system.

My question is, how can I dictate such a velocity profile between two nodes of the system? What I've already tried are:

Case 1) Connect the R and C ports of the Ideal Translational Velocity Source to the two ends of the system. (The error text can be downloaded from the attachment.)

Case 2) Use two Ideal Translational Velocity Source for two ends of the system. First source's R port is connected to the upper node of the system, C port is connected to a Mechanical Translatioanl Reference and it has signal builder connected to itself. Second source is connected same as the first source, to the lower node of the system, and it has a signal builder which has "zero" signal connected to itself. (The error text can be downloaded from the attachment.)

Case 3) In this case, I got no error but as I expected, the result was absurd. I used one Ideal Translational Velocity Source to give velocity profile to the upper node of the system. The lower node of the system is connected to nothing but the solver block. (It is free I guess.) And at the very beginning of the simulation a peak force is sensed and it takes a constant value no matter comes from the signal builder. What I understand from this is, the system gives an elastic response at the very beginning since the cylinder is connected to the accumulators and then acts as a single body.

.mdl files of the three cases are attached to the question.

Thank you,

Best regards.

Halil Yahya Yeşilyurt