Table 2 Computed result of back analysis.

From: Back analysis of mechanical parameters based on GPSO-BP neural network and its application

Model

Parameter

\(E (\text{GPa})\)

\(\mu\)

\(\varphi (^\circ )\)

\(c (\text{MPa})\)

Target value

1.9000

0.3200

27.0000

1.1000

BP

Inversion value

2.00567

0.29085

30.9638

1.26735

Relative error

5.56%

− 9.11%

14.68%

15.21%

PSO-BP

Inversion value

1.80546

0.33163

24.4953

1.1682

Relative error

− 4.98%

3.64%

− 9.28%

6.20%

GA-BP

Inversion value

1.9856

0.3304

25.8425

1.1952

Relative error

4.51%

3.25%

− 4.29%

8.65%

GPSO-BP

Inversion value

1.90404

0.32148

28.6131

1.1732

Relative error

0.21%

0.46%

5.97%

6.65%