Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

Table 4

Frequencies between 1 kHz and 24 kHz of the brass annular plate obtained by the Chebyshev–Ritz method and the experiment compared with those obtained by finite element method.

		Frequency (Hz)
	CR	17867
	EX	18981
	FE	18410
	CRE	2.95
	FEX	3.10
	CR	2355.2	8722.0	12790	17762
	EX	2362.5	9096.9	13316	18244
	FE	2319.0	8652.2	12822	17838
	CRE	1.56	0.81	0.25	0.43
	FEX	1.88	5.14	3.85	2.28
	CR	4520.2	9986.4	11570	20546
	EX	4496.9	9894.7	11644	20131
	FE	4563.4	9982.0	11452	20404
	CRE	0.95	0.04	1.03	0.70
	FEX	1.46	0.87	1.68	1.34
	CR	7910.2	15610	16118	23549
	EX	8262.5	15313	16753	23353
	FE	7898.6	15627	16540	23533
	CRE	0.15	0.11	2.55	0.07
	FEX	4.61	2.01	1.29	0.76
	CR	3447.2	12263	22130
	EX	3531.3	13175	21344
	FE	3445.4	12822	22117
	CRE	0.05	4.36	0.06
	FEX	2.49	2.75	3.50

represents axisymmetric mode and represents torsional mode.