Narrative:

At the top of descent; crew was cleared to cross 35 NM north of ZZZ1 at FL240. Crew was unable to make such a steep descent; and was reclred to cross 25 NM north of ZZZ2 at FL240. During beginning phase of the descent; unusual vibration occurred. Crew initially believed this to be from the speed brakes; as there was no vibration indication on the engine vibration meters. Cas message of engine exceedance occurred; accompanied by high tgt on the #1 engine. Crew initiated and completed appropriate checklists per company SOP. This led to shutdown of the #1 engine. Crew declared an emergency with ATC and was immediately cleared direct to ZZZ. Crew considered possibility of diverting to ZZZ3. Crew elected to land at ZZZ due to the following factors: 1) ZZZ3's primary runway had a crosswind; but the wind at ZZZ was a headwind. 2) crew had already set up and briefed the approach into ZZZ. 3) crew was already established on an extended final to the favorable runway at ZZZ. 4) crew is familiar with ZZZ and felt that setting up for an approach into another airport when so close to the runway they were prepared to land on would have distraction them from handling the emergency. Crew landed uneventfully at ZZZ.

Related reports:

Google
 

Original NASA ASRS Text

Title: A G-IV FLT CREW AT TOP OF DESCENT EXPERIENCED EXCESSIVE TGT IN #1 ENG. THEY SHUT DOWN THE ENG; DECLARED AN EMERGENCY; AND LANDED SAFELY AT THEIR DESTINATION.

Narrative: AT THE TOP OF DSCNT; CREW WAS CLRED TO CROSS 35 NM N OF ZZZ1 AT FL240. CREW WAS UNABLE TO MAKE SUCH A STEEP DSCNT; AND WAS RECLRED TO CROSS 25 NM N OF ZZZ2 AT FL240. DURING BEGINNING PHASE OF THE DSCNT; UNUSUAL VIBRATION OCCURRED. CREW INITIALLY BELIEVED THIS TO BE FROM THE SPD BRAKES; AS THERE WAS NO VIBRATION INDICATION ON THE ENG VIBRATION METERS. CAS MESSAGE OF ENG EXCEEDANCE OCCURRED; ACCOMPANIED BY HIGH TGT ON THE #1 ENG. CREW INITIATED AND COMPLETED APPROPRIATE CHKLISTS PER COMPANY SOP. THIS LED TO SHUTDOWN OF THE #1 ENG. CREW DECLARED AN EMER WITH ATC AND WAS IMMEDIATELY CLRED DIRECT TO ZZZ. CREW CONSIDERED POSSIBILITY OF DIVERTING TO ZZZ3. CREW ELECTED TO LAND AT ZZZ DUE TO THE FOLLOWING FACTORS: 1) ZZZ3'S PRIMARY RWY HAD A XWIND; BUT THE WIND AT ZZZ WAS A HEADWIND. 2) CREW HAD ALREADY SET UP AND BRIEFED THE APCH INTO ZZZ. 3) CREW WAS ALREADY ESTABLISHED ON AN EXTENDED FINAL TO THE FAVORABLE RWY AT ZZZ. 4) CREW IS FAMILIAR WITH ZZZ AND FELT THAT SETTING UP FOR AN APCH INTO ANOTHER ARPT WHEN SO CLOSE TO THE RWY THEY WERE PREPARED TO LAND ON WOULD HAVE DISTR THEM FROM HANDLING THE EMER. CREW LANDED UNEVENTFULLY AT ZZZ.

Data retrieved from NASA's ASRS site as of May 2009 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.