Narrative:

After takeoff we felt a vibration that I initially thought might be the landing gear but it persisted after the gear was retracted. We then noticed that the left engine vibration indictor for N1 was in the amber range and showed 5.0. We accomplished the QRH procedure which calls for a reduction of thrust; when the throttle was reduced to 1.4 EPR the vibration stopped and the indicator showed about 2.0. The QRH procedure allows for the engine to be operated at this reduced power setting. After consulting with my first officer; dispatch and maintenance; I decided that even though the procedure allows you to continue; I did not feel comfortable flying to ZZZ; so I decided to divert to ZZZ1. Since the landing was going to be overweight we declared an emergency and requested the long runway at ZZZ1. The touchdown was normal at approximately 80 FPM.

Google
 

Original NASA ASRS Text

Title: B757 FLT CREW REPORTS LEFT ENGINE VIBRATION IN THE AMBER BAND DURING CLIMB OUT. AFTER CONSULTING WITH MAINTENANCE FLT CREW ELECTS TO DIVERT FOR OVERWEIGHT LANDING.

Narrative: AFTER TKOF WE FELT A VIBRATION THAT I INITIALLY THOUGHT MIGHT BE THE LNDG GEAR BUT IT PERSISTED AFTER THE GEAR WAS RETRACTED. WE THEN NOTICED THAT THE L ENG VIBRATION INDICTOR FOR N1 WAS IN THE AMBER RANGE AND SHOWED 5.0. WE ACCOMPLISHED THE QRH PROC WHICH CALLS FOR A REDUCTION OF THRUST; WHEN THE THROTTLE WAS REDUCED TO 1.4 EPR THE VIBRATION STOPPED AND THE INDICATOR SHOWED ABOUT 2.0. THE QRH PROC ALLOWS FOR THE ENG TO BE OPERATED AT THIS REDUCED PWR SETTING. AFTER CONSULTING WITH MY FO; DISPATCH AND MAINT; I DECIDED THAT EVEN THOUGH THE PROC ALLOWS YOU TO CONTINUE; I DID NOT FEEL COMFORTABLE FLYING TO ZZZ; SO I DECIDED TO DIVERT TO ZZZ1. SINCE THE LNDG WAS GOING TO BE OVERWT WE DECLARED AN EMER AND REQUESTED THE LONG RWY AT ZZZ1. THE TOUCHDOWN WAS NORMAL AT APPROX 80 FPM.

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.