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

Table 7

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

		Frequency (Hz)
	CR	22515
	EX	23114
	FE	21895
	CRE	2.83
	FEX	5.57
	CR	2175.1	8695.0	13610	18864
	EX	2075.9	8685.7	13131	19094
	FE	2169.8	8675.3	13601	18776
	CRE	0.24	0.23	0.07	0.47
	FEX	4.33	0.12	3.46	1.69
	CR	4463.2	11742	21532
	EX	4302.7	11874	21976
	FE	4454.1	11512	20955
	CRE	0.20	2.00	2.75
	FEX	3.40	3.14	4.87
	CR	1345.0	7751.4	8710.1	16698
	EX	1305.7	7779.2	8685.7	16312
	FE	1344.8	7733.1	8703.0	16011
	CRE	.0.01	0.24	0.08	4.29
	FEX	2.91	0.60	0.20	1.88
	CR	3327.5	14853	21965
	EX	3397.0	15013	20314
	FE	3326.2	14839	20955
	CRE	0.04	0.09	4.82
	FEX	2.13	1.17	3.06