Development and Optimization for a New Planar Spring Using Finite Element Method, Deep Feedforward Neural Networks, and Water Cycle Algorithm

Table 3

Experimental design and simulation data.

No.	t (mm)	L (mm)	(mm)	r (mm)	Deformation (mm)	Stress (MPa)	Strain energy (mJ)
1	1	45	9	0.1	37.648	143.88	0.01136
2	1	45	9	0.2	37.359	126.56	0.011931
3	1	45	9	0.3	37.181	91.524	0.01208
4	1	45	11.5	0.1	29.158	110.5	0.0075272
5	1	45	11.5	0.2	28.933	97.469	0.0073316
6	1	45	11.5	0.3	28.794	70.283	0.0074207
7	1	45	14	0.1	23.743	89.134	0.004959
8	1	45	14	0.2	23.559	78.896	0.0052279
9	1	45	14	0.3	23.445	56.8	0.0052896
10	1	50	9	0.1	52.955	135.96	0.015283
11	1	50	9	0.2	52.482	183.47	0.015191
12	1	50	9	0.3	52.271	103.04	0.01534
13	1	50	11.5	0.1	41.035	105.25	0.010162
14	1	50	11.5	0.2	40.666	141.99	0.01011
15	1	50	11.5	0.3	40.502	79.32	0.010206
16	1	50	14	0.1	33.423	85.454	0.0067236
17	1	50	14	0.2	33.121	115.14	0.0066931
18	1	50	14	0.3	32.987	64.151	0.0067545
19	1	55	9	0.1	72.04	175.37	0.018836
20	1	55	9	0.2	71.362	203.9	0.018837
21	1	55	9	0.3	71.012	114.56	0.019014
22	1	55	11.5	0.1	55.856	135.11	0.012552
23	1	55	11.5	0.2	55.326	158.02	0.012564
24	1	55	11.5	0.3	55.053	88.312	0.012679
25	1	55	14	0.1	45.508	109.33	0.008325
26	1	55	14	0.2	45.075	128.3	0.0083395
27	1	55	14	0.3	44.852	71.513	0.008414
28	1.2	45	9	0.1	22.22	96.941	0.0065149
29	1.2	45	9	0.2	22.13	66.215	0.0063295
30	1.2	45	9	0.3	21.933	65.468	0.0062087
31	1.2	45	11.5	0.1	17.205	74.773	0.0040134
32	1.2	45	11.5	0.2	17.135	51.129	0.003901
33	1.2	45	11.5	0.3	16.981	50.323	0.003827
34	1.2	45	14	0.1	14.007	60.582	0.0028689
35	1.2	45	14	0.2	13.95	41.457	0.0027898
36	1.2	45	14	0.3	13.824	40.669	0.0027374
37	1.2	50	9	0.1	31.178	108.37	0.0082735
38	1.2	50	9	0.2	31.011	90.501	0.0080522
39	1.2	50	9	0.3	30.784	73.985	0.0079012
40	1.2	50	11.5	0.1	24.156	83.785	0.0055193
41	1.2	50	11.5	0.2	24.025	69.716	0.0053739
42	1.2	50	11.5	0.3	23.848	57.009	0.005274
43	1.2	50	14	0.1	19.671	67.908	0.0036635
44	1.2	50	14	0.2	19.565	56.337	0.003569
45	1.2	50	14	0.3	19.419	46.096	0.0035029
46	1.2	55	9	0.1	42.206	125.93	0.010211
47	1.2	55	9	0.2	42.035	82.775	0.010003
48	1.2	55	9	0.3	41.738	81.78	0.0098
49	1.2	55	11.5	0.1	32.717	97.869	0.0068261
50	1.2	55	11.5	0.2	32.584	64.17	0.0066893
51	1.2	55	11.5	0.3	32.353	63.11	0.0065549
52	1.2	55	14	0.1	26.652	79.533	0.0045419
53	1.2	55	14	0.2	26.543	52.124	0.004453
54	1.2	55	14	0.3	26.354	51.099	0.0043642
55	1.4	45	9	0.1	14.31	70.515	0.0028812
56	1.4	45	9	0.2	14.21	71.532	0.0023315
57	1.4	45	9	0.3	14.106	66.273	0.0021754
58	1.4	45	11.5	0.1	11.078	54.279	0.0017708
59	1.4	45	11.5	0.2	11	55.096	0.0014267
60	1.4	45	11.5	0.3	10.919	51.038	0.0013319
61	1.4	45	14	0.1	9.0172	43.868	0.0012658
62	1.4	45	14	0.2	8.9536	44.557	0.0010189
63	1.4	45	14	0.3	8.8876	41.251	0.00095013
64	1.4	50	9	0.1	20.005	79.204	0.0036771
65	1.4	50	9	0.2	19.885	73.889	0.002852
66	1.4	50	9	0.3	19.747	74.814	0.0027744
67	1.4	50	11.5	0.1	15.496	61.129	0.0024474
68	1.4	50	11.5	0.2	15.403	57.082	0.0018876
69	1.4	50	11.5	0.3	15.295	57.768	0.0018403
70	1.4	50	14	0.1	12.618	49.426	0.0016241
71	1.4	50	14	0.2	12.541	46.18	0.0012489
72	1.4	50	14	0.3	12.453	46.705	0.0012188
73	1.4	55	9	0.1	27.052	88.311	0.0038068
74	1.4	55	9	0.2	26.893	75.666	0.0035977
75	1.4	55	9	0.3	26.726	81.191	0.0034145
76	1.4	55	11.5	0.1	20.967	68.245	0.0025272
77	1.4	55	11.5	0.2	20.843	58.445	0.002389
78	1.4	55	11.5	0.3	20.713	62.752	0.0022659
79	1.4	55	14	0.1	17.078	55.247	0.0016786
80	1.4	55	14	0.2	16.976	47.321	0.0015868
81	1.4	55	14	0.3	16.87	50.783	0.0015041