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Hello Andres,
I agree with all the points Alex made and believe your best path forward in this case is the implicit solver.
In a different case where dynamics was required, I would add one more method for reducing oscillation in the solution: use a smooth displacement function. If you take the derivative of a linear ramp followed by a constant displacement, you get two step changes in velocity. Those two steps introduce a lot of oscillation. If you replace the linear ramp with a smooth function such as a half-period of a cosine function, the two step changes in velocity are replaced with a velocity that starts at zero, increases to a maximum and decreases to zero in a half-period of a sine function. This introduces much less oscillation in the dynamic solution.
Regards,
Peter