Research Article
Development and Optimization for a New Planar Spring Using Finite Element Method, Deep Feedforward Neural Networks, and Water Cycle Algorithm
| No. | WCA | ER-WCA | Strain energy (mJ) | Time (s) | Strain energy (mJ) | Time (s) |
| 1 | 0.011509 | 2.62E + 03 | 0.011509 | 3.05E + 03 | 2 | 0.011509 | 2.59E + 03 | 0.011509 | 3.08E + 03 | 3 | 0.010654 | 2.63E + 03 | 0.010654 | 2.84E + 03 | 4 | 0.010654 | 2.63E + 03 | 0.010654 | 2.90E + 03 | 5 | 0.011127 | 2.62E + 03 | 0.011127 | 2.96E + 03 | 6 | 0.011314 | 2.63E + 03 | 0.011314 | 3.61E + 03 | 7 | 0.011364 | 2.63E + 03 | 0.011364 | 3.56E + 03 | 8 | 0.011509 | 2.62E + 03 | 0.011509 | 3.57E + 03 | 9 | 0.010717 | 2.63E + 03 | 0.010717 | 3.17E + 03 | 10 | 0.011509 | 2.63E + 03 | 0.011509 | 3.07E + 03 | 11 | 0.010675 | 2.65E + 03 | 0.010675 | 3.03E + 03 | 12 | 0.011509 | 2.33E + 03 | 0.011509 | 2.90E + 03 | 13 | 0.011509 | 2.67E + 03 | 0.011509 | 2.98E + 03 | 14 | 0.011509 | 2.67E + 03 | 0.011509 | 3.05E + 03 | 15 | 0.011509 | 2.90E + 03 | 0.011509 | 3.02E + 03 | 16 | 0.010716 | 2.68E + 03 | 0.010716 | 3.05E + 03 | 17 | 0.011509 | 2.68E + 03 | 0.011509 | 2.89E + 03 | 18 | 0.011509 | 2.72E + 03 | 0.011509 | 2.85E + 03 | 19 | 0.011509 | 2.85E + 03 | 0.011509 | 2.94E + 03 | 20 | 0.011509 | 2.80E + 03 | 0.011509 | 2.85E + 03 | 21 | 0.011257 | 2.95E + 03 | 0.011257 | 2.86E + 03 | 22 | 0.010708 | 2.69E + 03 | 0.010708 | 2.93E + 03 | 23 | 0.010656 | 2.94E + 03 | 0.010656 | 3.02E + 03 | 24 | 0.011509 | 2.94E + 03 | 0.011509 | 3.06E + 03 | 25 | 0.011509 | 2.96E + 03 | 0.011509 | 3.09E + 03 | 26 | 0.010675 | 2.63E + 03 | 0.010675 | 3.19E + 03 | 27 | 0.011509 | 2.65E + 03 | 0.011509 | 3.05E + 03 | 28 | 0.011509 | 2.68E + 03 | 0.011509 | 3.05E + 03 | 29 | 0.011509 | 2.95E + 03 | 0.011509 | 3.05E + 03 | 30 | 0.010716 | 2.96E + 03 | 0.010716 | 2.84E + 03 | Average | 0.01123 | 2717.755 | 0.01119 | 3057.928 | Standard deviation | 0.000373 | 149.2229 | 0.000568 | 202.8228 |
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