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

Table 5

Frequencies between 1 kHz and 20 kHz of HGS3 obtained by the Chebyshev–Ritz method and the experiment compared with those obtained by the finite element method.

		Frequency (Hz)
		s =	FC	2777.8	12760	14489
FE	2739.5		13158	14546
FF	2818.6		13388	15153
FCR	1.45		4.69	4.58
FER	2.81		1.72	4.01
s =	FC	7567.4	14998
	FE	7688.5	15156
	FF	7726.6	15378
	FCR	2.06	2.47
	FER	0.49	1.44
s = 1	FC	2088.2	11692	16859	19330
	FE	2092.6	11609	17033	19745
	FF	2398.4	11443	17260	19968
	FCR	12.93	2.18	2.32	3.20
	FER	12.75	1.45	1.32	1.12
s = 2	FC	17047
	FE	17247
	FF	17266
	FCR	1.27
	FER	0.11