The device seems likely to be identical or similar to the "Bulletproof" - Whole body vibration plate. Appearances vary with model but a number of plates appear to use the same core. The above cited page provides about as good a general description as is lkely to be available by user oriented pages.
They say
- 30 Hertz fixed frequency
- Motor: 1/4 HP motor running at 1,725 rpm
1725 RPM is the standard nominal speed if a 2 pole sinduction motor running on 60 Hz mains. [60 Hz = 3600 RPM. 2 pole synchronous = 1800 RPM. Induction motor nominally 'slips' at 1800-1725 = 75 Hz].
Images else where seem to show a standard motor under the plate with shaft horizontal. This suggests a gearbox of some sort is used - possibly a worm drive. Possibly other.
A gear ratio of 1725/30 = 57.5:1.
Elsewhere people say "29 Hz" = 59.5:1.
60:1 is not unlikely.
SO
If it is a 110 VAC 1/4 HP 60 Hz induction motor, as seems likely:
You need a 2:1 step down 230:110V (nominal) transformer* - these are standard items.
You want one rated for 1/4 HP. This is nominally ~= 200 Watts BUT more is better and much more means load peaks are more easily accommodated.
BUT:
The 60 Hz motor will operate slower on 50 Hz mains - so vibration table will vibrate at about 30 x 50/60 = 25 HZ.
No major but may be noticeable to some.
And/but the motor MAY overheat on 50 Hz as the cysles are 20% longer and iron laminations may be drive further into saturation. There will be people "in the electrical industry" who can tell you how much of an issue this is liable to be.
IF the maker sells 230V units then buying a 230 VAC motor may be as cheap as any alternative (except that such companies seem to sell, based on price, units that must be gold plated or contain rare gems).
It is quite likely possible to find an Ireland sourced >= 1/4 HP motor that bolts straight in. Control panel voltages may need looking at BUT control may be zero to absent.
Same brand - slightly different appearance - motor visible (partially)
"Bulletproof" version: