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Fitting Methods based on Custom Neural Network for Relaxation Modulus of Viscoelastic Materials
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He Yun,Li Haibin,Du Juan
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Table 3 Fitting parameters and error after custom neural network training
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| Parameters | n | | 2 | 3 | 4 | 5 | 6 | | Ge(kPa) | 2.2038E+3 | 2.1583E+3 | 2.1652E+3 | 2.1617E+3 | 2.1712E+3 | | G1(kPa) | 3.9513E+6 | 4.2752E+3 | 3.6837E+3 | 2.4103E+3 | 2.4435E+3 | | T1(s-1) | 800.00 | 14.226 | 14.003 | 14.469 | 14.515 | | G2(kPa) | 7.4018E+3 | 2.8018E+4 | 1.6278E+4 | 2.8425E+4 | 2.1148E+4 | | T2(s-1) | 16.909 | 316.13 | 330.00 | 357.62 | 369.01 | | G3(kPa) | — | 3.0525E+3 | 3.6643E+3 | 2.1675E+4 | 2.4622E+3 | | T3(s-1) | — | 13.828 | 14.389 | 357.62 | 14.072 | | G4(kPa) | — | — | 2.1810E+4 | 2.4752E+3 | 2.4639E+3 | | T4(s-1) | — | — | 330.00 | 14.792 | 14.959 | | G5(kPa) | — | — | — | 2.4743E+3 | 2.1172E+4 | | T5(s-1) | — | — | — | 14.105 | 369.02 | | G6(kPa) | — | — | — | — | 1.6275E+4 | | T6(s-1) | — | — | — | — | 369.01 | | Max relative error | 0. 87% | 0. 46% | 0. 48% | 0. 51% | 0. 52% | | Parameters | n | | 7 | 8 | 9 | 10 | 11 | | Ge(kPa) | 2.1754E+3 | 2.1776E+3 | 2.1742E+3 | 2.1703E+3 | 2.18E+3 | | G1(kPa) | 1.8623E+3 | 1.8458E+3 | 1.8582E+3 | 1.8471E+3 | 1.24E+3 | | T1(s-1) | 14.407 | 14.748 | 14.932 | 14.938 | 15.1827 | | G2(kPa) | 2.4658E+4 | 2.6102E+4 | 2.3974E+4 | 1.8582E+3 | 1.24E+3 | | T2(s-1) | 409.50 | 420.23 | 433.48 | 15.088 | 15.1826 | | G3(kPa) | 1.8675E+3 | 2.6145E+4 | 2.3952E+4 | 1.8418E+3 | 1.24E+3 | | T3(s-1) | 15.310 | 420.23 | 433.48 | 14.933 | 15.1826 | | G4(kPa) | 1.8302E+3 | 2.6174E+4 | 1.8574E+3 | 2.2273E+4 | 1.25E+3 | | T4(s-1) | 14.768 | 420.23 | 14.928 | 443.49 | 15.1816 | | G5(kPa) | 3.1345E+4 | 1.8525E+3 | 1.8541E+3 | 1.7888E+4 | 2.7462E+4 | | T5(s-1) | 409.50 | 14.620 | 15.068 | 443.49 | 469.21 | | G6(kPa) | 3.1356E+4 | 1.8574E+3 | 1.8542E+3 | 2.2275E+4 | 3.3874E+4 | | T6(s-1) | 409.50 | 15.453 | 14.928 | 443.49 | 469.21 | | G7(kPa) | 1.8328E+3 | 1.8445E+3 | 2.3741E+4 | 2.1575E+4 | 3.3855E+4 | | T7(s-1) | 14.767 | 14.713 | 433.48 | 443.49 | 469.21 | | G8(kPa) | — | 2.0708E+4 | 1.9008E+4 | 2.1577E+4 | 3.3842E+4 | | T8(s-1) | — | 420.23 | 433.48 | 443.49 | 469.21 | | G9(kPa) | — | — | 2.3754E+4 | 1.8546E+3 | 3.3864E+4 | | T9(s-1) | — | — | 433.48 | 15.094 | 469.21 | | G10(kPa) | — | — | — | 2.1563E+4 | 1.2180E+3 | | T10(s-1) | — | — | — | 443.49 | 14.656 | | G11(kPa) | — | — | — | — | 1.2133E+3 | | T11(s-1) | — | — | — | — | 15.692 | | Max relative error | 0. 57% | 0. 58% | 0. 60% | 0. 61% | 0. 64% |
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