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Single point force modelling with three variables

We have a solenoid force input data with respect current and stroke. That is, solenoid force is dependent on input current and the stroke….We have current vs time data also.
Idea is to create a single point force.
But the challenge is that we have three variable data(force, current and stoke) and also current vs time data.
How to include all this input into a single point force component or how to model this actuation?