A Hybrid Computational Method of Desirability, Fuzzy Logic, ANFIS, and LAPO Algorithm for Multiobjective Optimization Design of Scott Russell Compliant Mechanism

Table 3

Initially numerical results: frequency, displacement, and equivalent stress.

No.	Design variables						Frequency	Displacement	Stress
	θ (degree)	L1 (mm)	L2 (mm)	L3 (mm)	L4 (mm)	D (mm)	F1(X) (Hz)	F2(X) (mm)	F3(X) (MPa)
1	14.5	6.3	16.6	10.1625	16.35	2.875	144.8765116	0.0131662	20.2101534
2	12.5	6.3	16.6	10.1625	16.35	2.875	145.6511486	0.0100512	17.3713011
3	16.5	6.3	16.6	10.1625	16.35	2.875	142.7061870	0.0124471	21.6504283
4	14.5	4.9	16.6	10.1625	16.35	2.875	144.5375979	0.0111032	19.3343769
5	14.5	7.7	16.6	10.1625	16.35	2.875	147.0998526	0.0101186	22.7858141
6	14.5	6.3	14.5	10.1625	16.35	2.875	153.7702955	0.0089541	14.8769691
7	14.5	6.3	18.7	10.1625	16.35	2.875	138.4140708	0.0104084	18.2311317
8	14.5	6.3	16.6	10.1625	16.35	2.25	29.1033323	0.2783916	413.3649425
9	14.5	6.3	16.6	10.1625	16.35	3.5	247.7177837	0.0042301	9.1823943
10	14.5	6.3	16.6	8.5	16.35	2.875	151.3503923	0.0132612	20.5864700
11	14.5	6.3	16.6	11.825	16.35	2.875	139.8224967	0.0132187	19.7278662
12	14.5	6.3	16.6	10.1625	14	2.875	158.4167103	0.0106565	18.8481276
13	14.5	6.3	16.6	10.1625	18.7	2.875	137.7014871	0.0139512	19.6035371
14	12.5	4.9	14.5	8.5	14	2.25	35.2827371	0.0126286	41.9016251
15	16.5	4.9	14.5	8.5	18.7	2.25	29.7282702	0.0319123	68.4134201
16	12.5	7.7	14.5	8.5	18.7	2.25	30.3150364	0.0440975	83.1659146
17	16.5	7.7	14.5	8.5	14	2.25	35.2125256	0.0541169	118.3677978
18	12.5	4.9	18.7	8.5	18.7	2.25	26.5880362	0.0605043	110.0556179
19	16.5	4.9	18.7	8.5	14	2.25	30.2587478	0.0314902	81.1699723
20	12.5	7.7	18.7	8.5	14	2.25	31.1153254	0.0262748	63.8299904
21	16.5	7.7	18.7	8.5	18.7	2.25	661.0920453	0.0000156	8.3148176
22	12.5	4.9	14.5	8.5	18.7	3.5	236.4448793	0.0020741	7.3108765
23	16.5	4.9	14.5	8.5	14	3.5	284.3688928	0.0034154	11.4796060
24	12.5	7.7	14.5	8.5	14	3.5	296.0385722	0.0028695	10.0679057
25	16.5	7.7	14.5	8.5	18.7	3.5	722.6186705	0.0000161	2.3844190
26	12.5	4.9	18.7	8.5	14	3.5	249.2833206	0.0037318	9.8955675
27	16.5	4.9	18.7	8.5	18.7	3.5	216.1175651	0.0056673	10.8787519
28	12.5	7.7	18.7	8.5	18.7	3.5	660.5761253	0.0000153	2.4110693
29	16.5	7.7	18.7	8.5	14	3.5	723.9722661	0.0000184	2.3225403
30	12.5	4.9	14.5	11.825	18.7	2.25	26.7029456	0.0095992	28.5990240
31	16.5	4.9	14.5	11.825	14	2.25	32.3612774	0.0773006	175.6411982
32	12.5	7.7	14.5	11.825	14	2.25	33.5994617	0.0998207	203.6469876
33	16.5	7.7	14.5	11.825	18.7	2.25	26.4888400	0.2497774	343.3155557
34	12.5	4.9	18.7	11.825	14	2.25	28.9826859	0.2040589	377.6240900
35	16.5	4.9	18.7	11.825	18.7	2.25	22.7266747	0.1692049	257.2457599
36	12.5	7.7	18.7	11.825	18.7	2.25	23.4218271	0.1117737	173.0523059
37	16.5	7.7	18.7	11.825	14	2.25	671.0395540	0.0000197	8.0316806
38	12.5	4.9	14.5	11.825	14	3.5	254.0503542	0.0020926	8.4557853
39	16.5	4.9	14.5	11.825	18.7	3.5	222.0867129	0.0038711	11.9575653
40	12.5	7.7	14.5	11.825	18.7	3.5	226.4134777	0.0034449	8.6649529
41	16.5	7.7	14.5	11.825	14	3.5	728.8362254	0.0000215	2.0182197
42	12.5	4.9	18.7	11.825	18.7	3.5	200.9526441	0.0042152	10.8241011
43	16.5	4.9	18.7	11.825	14	3.5	237.2856932	0.0032948	10.7328140
44	12.5	7.7	18.7	11.825	14	3.5	668.7600073	0.0000200	1.9910749
45	16.5	7.7	18.7	11.825	18.7	3.5	610.9395221	0.0000201	2.3080380