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

Table 5

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

		Frequency (Hz)
	CR	23892
	EX	23293
	FE	22575
	CRE	5.83
	FEX	3.18
	CR	3023.5	11034	15837	22800
	EX	3131.3	11116	15869	22384
	FE	3007.7	10936	15948	22575
	CRE	0.53	0.90	0.70	1.00
	FEX	4.12	1.65	0.50	0.85
	CR	5882.7	13214	14808
	EX	6021.9	12817	14288
	FE	5866.1	13208	14657
	CRE	0.28	0.05	1.03
	FEX	2.66	2.96	2.52
	CR	1911.9	10215	20563
	EX	2002.5	10494	21072
	FE	1906.8	10283	20422
	CRE	0.27	0.66	0.69
	FEX	5.02	2.05	3.18
	CR	4704.3	14759	15977
	EX	4953.1	13988	16314
	FE	4703.0	14720	15948
	CRE	0.03	0.26	0.18
	FEX	5.32	4.97	2.29

represents axisymmetric mode and represents torsional mode.