A flexible beam has vibration, we want to eliminate its vibration using an active arm jointed to free end of the flexible beam.
If ai understood good, for vibration suppression, you can use a dynamical absorber (flow divider), if the space allows this.
By modifying the boundary conditions of your beam, you will not eliminate vibration but modify it (shift of natural frequencies, change of modal mass and mode shapes...). Depending of the excitation mechanism, the result might be disappointing...
If you cannot address directly the source of this vibration, you should seek to create "active damping", not anti-vibration (meaning a different control mechanism). There is plenty of literature on the matter...
Acting on the end of a cantilever beam might not be the right strategy: you have there a maximum amplitude but zero strain. For example bonding a piezo-ceramic plate at the clamped base (where you have low amplitude but maximum bending strain for all frequencies) is for me a far more effective way to control the beam flexural vibration with an active damping strategy...
Structural dynamics is a well established science, but not that much teached: if no one can advise you properly, spend more time in the library before designing your active vibration control device!
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