CRJ200 FLT CREW REPORTS ENGINE SHUDDER AND HIGH ITT DURING CLIMB AT FL195. ENGINE IS SHUT DOWN AND AN EMERGENCY IS DECLARED FOR RETURN TO ZZZ.

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#1 ENG DAMAGE WITH SHUTDOWN. IT WAS CLR WX. WHILE CLBING THROUGH FL195; ROUGHLY; WE SUDDENLY EXPERIENCED A RUMBLING SOUND ACCOMPANIED BY AN ACFT SHUDDER. WE WERE STUNNED. WE IMMEDIATELY BEGAN TO TRY TO DIAGNOSE THE PROB. WE LEVELED OFF THE ACFT AT FL200; PULLED SOME PWR BACK; AND BEGAN. WE LOOKED AT THE SYNOPTIC PAGES AND THE ENG INSTS. MY FO POINTED OUT THE ITT WAS RED. WE NOTICED THE FUEL FLOW ON THE #1 ENG WAS 1900 LBS AND THE OTHER WAS ROUGHLY 1400 LBS. THE OIL PSI WAS A LITTLE HIGHER ON THE #1 AS OPPOSED TO THE #2. THE OIL TEMP HAD LITTLE DIFFERENCE ALSO. NO VIBRATION MESSAGE THAT WE NOTICED AT THIS TIME. I PERSONALLY CAN'T REMEMBER WHAT N1 AND N2 WERE DISPLAYING; BUT I DON'T THINK THEY HAD MUCH DIFFERENCE. BOTH OF US TOOK NOTE OF THESE THINGS. WE HAVE TO MAKE SURE WE DIDN'T HAVE FAULTY INST READINGS. WE ALSO HAVE TO USE CRM AND TAKE IN ALL AVAILABLE INFO AND ASSIMILATE IT. WE DON'T WANT TO MAKE ANY BRASH DECISIONS. I BEGAN TO GET MAINT AND DISPATCH ON THE RADIO IN EFFORT TO HAVE EXTRA HELP IF NEEDED. DURING THIS PROCESS WE DECIDED TO GET THE PLANE TURNED TOWARD ZZZ AND DO THE ENG SHUTDOWN PROCS. I ALSO SPOKE TO OUR FLT ATTENDANT. I ADVISED HER OF THE SITUATION AND THE OUTCOME EXPECTATIONS; IE; NO EVAC; AS YET. I MADE A QUICK PA ANNOUNCEMENT. WE HAD TO WORK AS A TEAM AND MULTITASK TOGETHER; BECAUSE THINGS HAPPEN REALLY FAST. I RAN THE EMER ITEMS AND THE ABNORMAL PROCS; MY FO FLEW AND WORKED THE RADIOS. MY FO DECLARED THE EMER (BECAUSE HE RAN THE RADIOS). AS WE WERE DSNDING; I FINISHED THE QRH. DURING THE EMER PROCS WE ELECTED NOT TO DISCHARGE THE FIRE BOTTLES BECAUSE WE DID NOT HAVE A FIRE. WE THOUGHT IT BETTER TO SAVE THE FIRE BOTTLES FOR A FIRE SIT; WHICH WE DID NOT HAVE. SO WE WOULD HAVE BOTH TO FIGHT A FIRE INSTEAD OF JUST ONE. I QUICKLY WENT OVER THE WHOLE QRH AGAIN SO AS TO NOT MISS ANYTHING. I THEN BEGAN TO GET ATIS; ADJUST THE V-SPD CARD; AND RUN THE CHKLISTS. WE ARE MUCH CLOSER TO THE ARPT NOW SO I SPOKE TO OUR FLT ATTENDANT AGAIN AND ADVISED HER AGAIN OF THE SITUATION AND THAT I DON'T THINK WE NEED TO EVAC. WE LANDED UNEVENTFULLY. WE WERE INSPECTED BY THE FIRE CREWS. I ASKED THEM TO DOUBLECHK 1 MORE TIME.