Refer to Figure, which shows a turbine driving an electrical generator through a gear pair. The diameter ratio of the gears is D2/D1 = 1.5. The inertias in kg-m2 of gear 1 and gear 2 are 100 and 500, respectively. The turbine and generator inertias are 2000 and 1000, respectively. The torsion stiffness of shaft 1 is 3 x 105 N-m/rad, and that of shaft 2 is 8 x 104 N-m/rad. Disregard the shaft inertias and obtain the natural frequencies of the system.

Transcribed Image Text:

Turbine Shaft I Gear 1 o, Shaft 2 Gear 2 Generator