A 3D Free Vibration Analysis of the Horn-Gear System through Chebyshev–Ritz Method in Ultrasonic Gear Honing

Table 3

Frequencies between 1 kHz and 20 kHz of HGS1 obtained by the Chebyshev–Ritz method and the experiment compared with those obtained by the finite element method.

	Frequency (Hz)
	s =	FC	3324.0	13019
FE		3380.5	13254
FF		3458.0	13462
FCR		3.88	3.29
FER		2.24	1.55
s =	FC	8340.4	14555	18959
	FE	8248.9	14562	18435
	FF	8324.6	15221	18255
	FCR	0.19	4.38	3.86
	FER	0.91	4.33	0.99
s = 1	FC	3086.0	11753	14896
	FE	3101.8	11714	15175
	FF	3054.7	11963	15448
	FCR	1.02	1.76	3.57
	FER	1.54	2.08	1.77
s = 2	FC	11097	19173
	FE	10942	19024
	FF	10932	18391
	FCR	1.51	4.25
	FER	0.09	3.44