Free Vibration Analysis of Rings via Wave Approach

Table 3

Comparison of free vibration by FEM for four type boundaries.

Different boundaries	1st mode	2nd mode	3rd mode	4th mode	5th mode
Inner free, outer free	143.40 Hz	334.10 Hz	569.55 Hz	1336.50 Hz	1845.16 Hz
Inner fixed, outer free	37.76 Hz	168.30 Hz	415.19 Hz	1247.90 Hz	1448.10 Hz
Inner free, outer fixed	70.44 Hz	321.96 Hz	572.94 Hz	1388.86 Hz	1848.67 Hz
Inner fixed, outer fixed	101.07 Hz	413.28 Hz	1272.37 Hz	1479.74 Hz	2927.38 Hz