The 2012 champions had suffered a major setback on 18 minutes when flanker Oisin Dowling was red-carded after a clash with Peter Sullivan.
The Andrew’s centre was sent to the sin-bin for his part in this incident, but before he returned to the field, Michael’s had broken the deadlock with a 24th-minute try by full-back Kelly.
Fly-half O’Kelly also crossed over two minutes before the interval, and thanks to a routine three-pointer from replacement Harry Byrne, the Ailesbury Road outfit had developed a 15-0 cushion by the 38th minute.
After much perseverance, centre Jordan Larmour dived over via a neat Sean Ballance off-load to finally open the Andrew’s account 14 minutes from time, but after Byrne added a successful place-kick, O’Donovan sealed the Michael’s win with a late intercept try.
J Kelly, I O’Kelly, D O’Donovan try each, H Byrne 2 pens, con, B Fitzpatrick con.
J Larmour try, P Sullivan con.
J Kelly; J O’Loughlin, J Hickey, D Ryan, M Heaney; I O’Kelly, T Killeen; R Kelleher, S Judge, S Griffin; R Baird, J Dunne; O Dowling, S Penny, B Fitzpatrick.
P O’Beirne, H Byrne, D O’Donovan, A Courtney, M Kennedy, M O’Donahoe, L Duffy, M Roche.
J McDonagh; D Burns, J Larmour, P Sullivan, S Keane; S Ballance, A Larmour; R O’Flaherty, H McCarthy, D Wilson; B Ryan, W Holland; H O’Byrne-Cullinane, B Nolke, Z Henry.
D Morris, N Judge, R Simington, R Jordan.
B Montayne (IRFU).