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

Table 1

Convergence of eigenvalues in of a completely free annular plate with    for the first five eigenvalue parameters ().

	1.477	2.672	3.886	5.643	7.001
	1.475	2.671	3.830	5.639	6.978
	1.475	2.671	3.826	5.636	6.967
	1.474	2.671	3.801	5.634	6.953
	1.446	2.669	3.575	5.598	6.502
	1.442	2.669	3.568	5.591	6.462
	1.441	2.668	3.546	5.586	6.451
	1.439	2.668	3.542	5.582	6.430
	1.438	2.668	3.529	5.585	6.425
	1.437	2.668	3.508	5.579	6.414
	1.434	2.668	3.504	5.574	6.388
	1.433	2.667	3.488	5.571	6.383
	1.438	2.668	3.526	5.582	6.417
	1.435	2.667	3.505	5.573	6.390
	1.433	2.667	3.500	5.571	6.369
	1.433	2.667	3.487	5.565	6.362
	1.437	2.668	3.510	5.580	6.408
	1.433	2.667	3.503	5.570	6.387
	1.433	2.667	3.487	5.565	6.362
	1.433	2.667	3.487	5.565	6.362