A Hybrid Method for Truss Mass Minimization considering Uncertainties
Table 8
Results for the optimization methods in 25 bar truss example.
Parameters
GA
FMA
DE
PSO
HGPS
Best mass value (kg)
272.69
261.38
254.45
253.80
253.80
10.000
9.031
9.014
9.803
9.803
10.000
10.000
10.000
10.000
10.000
1.973
1.996
2.021
1.963
1.963
number of objective function evaluations
3452
2002
5012
3002
1002
number of LSF evaluations
499001
281583
185877
333634
74143
Efficiency
6.69
3.77
2.54
4.48
1.00
Quality
1.074
1.029
1.002
1.000
1.000
Maximum absolute stress (Pa)
5.2752 × 107
3.504 × 107
4.1136 × 107
3.904 × 107
3.904 × 107
Maximum absolute displacement (m)
7.992 × 10−3
7.998 × 10−3
8.882 × 10−3
7.998 × 10−3
7.998 × 10−3
(Hz)
75.42
77.38
59.68
73.81
73.81
number of LSF evaluations: the mean number of times the probabilistic constraints are evaluated in order to get the reliability index (20 independent runs).
