Compliance Matrix of a Single-Bent Leaf Flexure for a Modal Analysis

Table 2

Theoretical and FEA results with various lengths , thicknesses , and widths under , , and .

(mm)	FEA	Theory	Error (%)	t (mm)	FEA	Theory	Error (%)	b (mm)	FEA	Theory	Error (%)
(a) Deflection (mm)
5	0.13819	0.14550	5.02	0.25	8.77255	9.29028	5.57	2	2.28306	2.32366	1.75
6.5	0.30485	0.31934	4.54	0.325	3.97715	4.22907	5.96	2.6	1.74683	1.78743	2.27
8	0.57071	0.59507	4.09	0.4	2.17394	2.26869	4.18	3.2	1.41120	1.45229	2.83
9.5	0.95908	0.99619	3.72	0.475	1.30778	1.35502	3.49	3.8	1.18188	1.22298	3.36
11	1.49324	1.54623	3.43	0.55	0.84862	0.87301	2.79	4.4	1.01548	1.05621	3.86
12.5	2.19646	2.26869	3.18	0.625	0.58257	0.59507	2.10	5	0.88936	0.92946	4.32
14	3.09203	3.18708	2.98	0.7	0.41772	0.42366	1.40	5.6	0.79058	0.82988	4.74
15.5	4.20323	4.32493	2.81	0.775	0.31008	0.31227	0.70	6.2	0.71120	0.74957	5.12
17	5.55339	5.70573	2.67	0.85	0.23676	0.23676	0.00	6.8	0.64607	0.68343	5.47
18.5	7.16579	7.35301	2.55	0.925	0.18508	0.18377		7.4	0.59170	0.62802	5.78
20	9.06374	9.29028	2.44	1	0.14756	0.14550		8	0.54565	0.58091	6.07
(b) Deflection (mm)
5	0.05369	0.05809	7.58	0.25	3.55785	3.71567	4.25	2	0.90181	0.92903	2.93
6.5	0.11959	0.12759	6.27	0.325	1.62113	1.69129	4.15	2.6	0.69073	0.71464	3.35
8	0.22485	0.23785	5.47	0.4	0.86939	0.90720	4.17	3.2	0.55848	0.58064	3.82
9.5	0.37879	0.39827	4.89	0.475	0.51931	0.54178	4.15	3.8	0.46800	0.48896	4.29
11	0.59062	0.61825	4.47	0.55	0.33455	0.34901	4.14	4.4	0.40226	0.42229	4.74
12.5	0.86949	0.90720	4.16	0.625	0.22798	0.23785	4.15	5	0.35238	0.37161	5.17
14	1.22458	1.27453	3.92	0.7	0.16225	0.16931	4.17	5.6	0.31329	0.33180	5.58
15.5	1.66503	1.72963	3.74	0.775	0.11953	0.12477	4.20	6.2	0.28185	0.29969	5.95
17	2.19995	2.28192	3.59	0.85	0.09057	0.09458	4.24	6.8	0.25604	0.27324	6.29
18.5	2.83849	2.94080	3.48	0.925	0.07025	0.07339	4.28	7.4	0.23449	0.25109	6.61
20	3.58976	3.71567	3.39	1	0.05557	0.05809	4.33	8	0.21624	0.23226	6.90
(c) Deflection (mm)
5	0.02203	0.02113	4.09	0.25	1.60255	1.58055	1.37	2	0.52645	0.51994	1.24
6.5	0.05270	0.05127	2.72	0.325	0.74212	0.73006	1.63	2.6	0.37023	0.36566	1.24
8	0.10341	0.10146	1.89	0.4	0.40469	0.39777	1.71	3.2	0.28218	0.27863	1.26
9.5	0.17912	0.17672	1.34	0.475	0.24617	0.24151	1.90	3.8	0.22569	0.22270	1.33
11	0.28479	0.28210	0.95	0.55	0.16164	0.15831	2.07	4.4	0.18640	0.18372	1.44
12.5	0.42541	0.42263	0.65	0.625	0.11239	0.10988	2.24	5	0.15750	0.15497	1.61
14	0.60595	0.60338	0.43	0.7	0.08169	0.07972	2.42	5.6	0.13538	0.13290	1.84
15.5	0.83137	0.82938	0.24	0.775	0.06152	0.05992	2.61	6.2	0.11792	0.11542	2.12
17	1.10665	1.10569	0.09	0.85	0.04770	0.04636	2.81	6.8	0.10379	0.10126	2.44
18.5	1.43675	1.43737		0.925	0.03788	0.03675	3.01	7.4	0.09214	0.08956	2.81
20	1.82663	1.82945		1	0.03071	0.02973	3.22	8	0.08239	0.07975	3.21