Dear Andrzej,
1000N of force with a sine frequency of 15Hz on a stroke of 3mm are applicable using more than one tubular linear motor in parallel drive. In particular you need a rms force generation of 1000 * 0,707 = 707 N of continuous force.
In order to reach 707N you have to use 3 x GD350ES tubular linear motors.
You can control these motors with a single drive using just one encoder signal.
Unfortunately this can be done only using external servo drive and not the integrated one.
Regards
Marco