I have a Liftmaster door opener on the workshop that works great. Is there any reason that I cannot use a properly sized computer/IT UPS to power the opener?
The short answer is "No; it can indeed work."
HOWEVER... The key phrase in your question was "properly sized"; and that is probably nowhere near as simple as it might initially seem. In addition, and
at least as importantly, it needs to be the right TYPE of UPS.
I know Liftmaster makes several openers with battery backups in the event of a power failure, I just do not see a need to replace the opener and I have several UPS units sitting around.
WHICH particular UPSes? Specific makes and models. Yes, it's important.
Most "inexpensive" so-called "UPS" devices sold for use with desktop computers aren't
really "UPS"es, in the sense of providing truly uninterruptable power. To do that requires what the marketeers have since dubbed a "True On-Line UPS" (which tend to be MUCH more expensive than the low-end "standby" systems). This issue, in and of itself, is probably not a major concern for a Garage Door Opener; worse-case, the GDO gets "confused" if the power happens to go out in mid-cycle, and it "sees" the resulting short gap in supply power at exactly the wrong moment.
Of MUCH greater concern is the waveform produced by the "UPS" when running on battery power. Again, the "inexpensive" models generally produce what is euphemistically referred to in the ads as "Modified Sine Wave" -- really a glorified stepped-square wave -- because that is much cheaper to implement than TRUE sine-wave output. And motors in particular do NOT get along well with this sort of pseudo-sine wave power.
Just curious to know if anyone else has used, say, an APC UPS with their opener.
Of the various APC products, I would not attempt this with anything but one of the larger models from the "Smart-UPS" line (well, OK... a Symmetra system would probably also work; but that's just silly). The "Smart-UPS" series is still not a true "on-line" UPS; but it at least does produce sine-wave output. The same cannot be said for the "Back-UPS" and "Back-UPS Pro" lines.
As for WHICH specific model you'd need, that gets a bit tricky. You first need to inspect the data plate on the opener itself, to determine its MAXIMUM current draw. Then you need to
generously size the UPS relative to that, in order to accommodate the additional load imposed during the start-up surge (which can be several times the "running" draw -- and note that UPS systems are not nearly as tolerant of such short-term overloads as a normal AC powerline is!). Note that when checking your UPS specs, the (typically lower) "Watts" figure is far more relevant than the (typically higher) "Volt-Amps" figure, due to this being a motor load. In short, "Bigger Is Better"; so when in doubt, go still bigger. And since larger-capacity UPS models also tend to have larger batteries, this will also address "BFBOB"'s concern regarding the number of open/close cycles you can expect to get out of one charge.