CL65 FLIGHT CREW SHUTS DOWN ONE ENGINE AND DIVERTS DUE TO OUT OF LIMITS VIBRATION. MAY HAVE BEEN ASSOCIATED WITH DEICING PROCEDURE PRIOR TO DEPARTURE.

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WE RPTED IN THE MORNING TO FIND THE ACFT COVERED WITH 1-2 INCHES OF SNOW AND ICE. WE PUSHED AND DE-ICED. TAXI OUT AND ALL ENG INDICATIONS WERE NORMAL. WE DEPARTED RWY 32R. ON DEP; WE NOTICED THE N1 VIBRATION ON THE #2 ENG WAS NOW AT 1.2 COMPARED TO THE #1 WHICH WAS LESS THAN HALF OF THAT VALUE. WE WERE IN IMC CONDITIONS; RUNNING WING AND COWL ANTI-ICE. AS WE CONTINUED TO CLB; SO DID THE VALUE ON THE R ENG VIBRATION; A SLIGHT VIBRATION COULD BE FELT THROUGH THE AIRFRAME. BY THE TIME WE WERE IN THE 20'S THE VALUE HAD RISEN INTO THE CAUTION RANGE; APPROX 2.4. I DECIDED TO CALL MAINT ON THIS. WE WERE CLR OF THE IMC CONDITIONS FINISHING THE CLB TO 31000 FT AND HAD BEEN CLR OF ICING CONDITIONS FOR A FEW MINS AND THE ENG VIBRATION REMAINED IN THE CAUTION ZONE. THE QRH DIRECTED IN NON-ICING CONDITIONS; TO ULTIMATELY SHUT DOWN THE ENG. THE MAINT CTLR AND I AGREED WE HAD BEEN CLR OF ICING A SUFFICIENT AMOUNT OF TIME TO SEPARATE ICING FROM A MECHANICAL PROB. WE PREPARED FOR THE DIVERSION. WE COORDINATED WITH DISPATCH TO DIVERT TO ZZZ. I ADVISED CTR OF OUR SITUATION AND REQUEST TO GO TO ZZZ. I DECLARED AN EMER. THE FLT ATTENDANTS WERE ADVISED AND I MADE A PA TO THE PAX. THE QRH WAS USED FOR THE VIBRATION; ENG SHUTDOWN AND SINGLE ENG LNDG; AND CFR WAS REQUESTED TO BE STANDING BY AS A PRECAUTION. THE LNDG WAS UNEVENTFUL. AT THE GATE; I CALLED DISPATCH TO AMEND THE RELEASE AND COORDINATE WITH MAINT; THE PAX DEPLANED AND WE AWAITED A MECH. HE FOUND 2 BLADES TO BE DAMAGED. THE STATION PERSONNEL RPTED A PAX SAID WALKING INTO THE GATE THAT SHE HEARD A DING IN THE R ENG ON TKOF. BUT THE AFT FLT ATTENDANT; DIDN'T HEAR THAT; OR HAVE THE PAX RPT IT TO HER THEN; NOR AT ANY POINT IN THE FLT THROUGH DEPLANING. I THINK WE EITHER HAD RESIDUAL CONTAMINANTS IN THE NACELLE AFTER DEICING THAT CAME LOOSE WITH THRUST; OR KICKED UP AND INTO THE ENG ON THE TKOF ROLL. MORE THAN LIKELY IT WAS CONTAMINANTS LEFT; BRINGING HOME THE IMPORTANCE OF PROPER AND COMPLETE DEICING BY THE CREWS CHARGED WITH THAT TASK. OUR SAFETY DEPENDS ON IT.