Don't think your computer is harming your UPS really it is just a back up power supply to give you power during a electric outage or to safety shut down your system and save settings, plus maybe give you a chance to finish what you were doing when the power went out. The battery maybe going bad, could be sounding a alarm that the battery is reaching the end of its life expectancy, or its not communicating with your OS as it should. One on a older ASUS with XP Pro that I still use occasionally has sounded the alarm when it lost communication with the OS, it was just a bug in the IO.
We have some at work that will alarm every few days on equipment control systems because the battery has reached the end of its life expectancy but the battery is still functioning. Have you looked in your event viewer to see if it showed as a Warning Event?
Even though I have 4 battery back up outlets on mine plus 4 pass through surge protection outlets the only on battery protection is my computer, monitor, modem/router and cell phone booster. It will give me about 15 minutes to shutdown my computer during a power outage and finish many things I was doing.