A Hybrid Method for Truss Mass Minimization considering Uncertainties
Table 4
Final objective function, constraints, and parameters by optimization method (objective function values do not take into account added masses).
Parameters
GA
FMA
DE
PSO
HGPS
Best mass value (kg)
448.85
413.29
394.75
397.10
374.187
3.084
3.803
3.65
3.038
3.275
10.00
10.00
10.0
10.00
10.00
10.00
10.00
10.0
10.00
10.00
Mean number of objective function evaluations
1982
3084
10007
4003
1839
number of LSF evaluations
767715
392793
1443497
591936
805459
Efficiency
1.94
1.0
3.67
1.51
2.00
Quality
1.20
1.10
1.05
1.06
1.00
Maximum absolute member stress (Pa)
Maximum absolute node displacement (m)
(Hz)
21.76
21.01
23.27
21.78
21.85
(Hz)
53.64
46.53
44.33
48.84
43.82
(Hz)
70.69
66.99
66.30
64.93
65.63
number of LSF evaluations: the mean number of times the probabilistic constraints are evaluated in order to get the reliability index (20 independent runs).
