Neglecting the inertia effect of the pinion and gear in Fig. 17.57 , let \(J_{1}=0.2 \mathrm{~kg} \cdot \mathrm{m}^{2}, J_{2}=4 J_{1}\); \(k_{11}=60 \times 10^{3} \mathrm{~N} \mathrm{~m} / \mathrm{rad}, k_{12}=7 k_{11}\), and the gear ratio 3:1. Find the natural frequencies of the system:

(a) referring to shaft 1 , and

(b) referring to shaft 2.

Transcribed Image Text:

15 K+1 Shaft 1 Pinion K+2 Shaft 2 Gear Fig.17.57 Geared system