A Model accounting for Stiffness Weakening of Curvic Couplings under Various Loading Conditions

Table 3

Comparison between model predictions and FEM solutions.

Serial number of samples		1	2	3	4	5	6	7	8	9	10	11	12
Stiffness of concave teeth (10^3 N/mm)	, analytical	683	885	1170	888	1180	678	1180	680	882	682	884	1173
	, analytical	388	405	432	402	428	396	424	392	409	389	406	432
Stiffness of convex teeth (10^3 N/mm)	, analytical	670	877	1170	874	1170	675	1160	673	880	670	877	1170
	, analytical	408	417	436	421	440	399	445	403	413	407	417	436
Shearing stiffness (10^3 N/mm)	Analytical solutions	3620	4000	4160	5310	5520	4800	6890	5990	6626	7183	7943	8265
	FEM solutions	3894	4425	4655	5931	6165	5180	7813	6536	7253	7656	8661	8852
	Relative errors (%)	−7.1	−9.7	−10.7	−10.5	−10.4	−7.3	−11.8	−8.3	−8.6	−6.2	−8.3	−6.6
Compression stiffness (10^3 N/mm)	Analytical solutions	2070	5110	10100	6810	13500	2750	16900	3440	8515	4132	10220	20230
	FEM solutions	2170	5621	11371	7651	15244	2830	19750	3744	9211	4234	10988	22063
	Relative errors (%)	−4.8	−9.1	−11.1	−10.9	−11.5	−2.8	−14.6	−8.0	−7.6	−2.4	−7.0	−8.3
Bending stiffness (10^6 N·mm/rad)	Analytical solutions	337	838	1660	1120	2230	454	2790	569	1410	685	1695	3358
	FEM solutions	357	912	1835	1237	2459	470	3187	607	1487	686	1772	3528
	Relative errors (%)	−5.5	−8.1	−9.4	−9.1	−9.3	−3.5	−12.3	−6.3	−5.2	−0.17	−4.3	−4.8
Torsion stiffness (10^6 N·mm/rad)	Analytical solutions	2390	2640	2750	3520	3660	3180	4580	3980	4401	4774	5280	5495
	FEM solutions	2610	2947	3093	3943	4105	3460	5213	4370	4849	5127	5800	5950
	Relative errors (%)	−8.5	−10.4	−11.1	−10.7	−10.7	−7.9	−12.2	−8.9	−9.2	−6.9	−9.0	−7.6