Research Article

Fitness Estimation Based Particle Swarm Optimization Algorithm for Layout Design of Truss Structures

Table 8

Comparison of optimized designs found for the planar 37-bar truss.

No.VariableOC [9]GA [18]PSO [19]RO [20]FEPSO-AP

13.2508 2.8932 2.6797 3.01243.4197
21.2364 1.1201 1.1568 1.06230.9766
31.0000 1.0000 2.3476 1.00050.8313
42.5386 1.8655 1.7182 2.26472.8073
51.3714 1.5962 1.2751 1.63391.2997
61.3681 1.2642 1.4819 1.67171.6483
72.4290 1.8254 4.6850 2.05912.4972
81.6522 2.0009 1.1246 1.66071.5379
91.8257 1.9526 2.1214 1.49411.7590
102.3022 1.9705 3.8600 2.47372.7069
111.3103 1.8294 2.9817 1.52601.3046
121.4067 1.2358 1.2021 1.48231.4004
132.1896 1.4049 1.2563 2.41483.0476
141.0000 1.0000 3.3276 1.00340.5947
151.2086 1.1998 0.9637 1.00100.8756
161.5788 1.6553 1.3978 1.39091.2546
171.6719 1.9652 1.5929 1.58931.4446
181.7703 2.0737 1.8812 1.75071.5889
191.8502 2.3050 2.0856 1.83361.6480
Natural frequencies (Hz)20.0850 20.0013 20.0001 20.05620.020
42.0743 40.0305 40.0003 40.03540.022
62.9383 60.0000 60.0001 60.03060.233
74.4539 73.0444 73.0440 74.38772.137
90.0576 89.8244 89.8240 85.92984.065
Best weight (kg)366.50 368.84 377.20 364.04 362.8812
Number of structural analysesā€”ā€”20,00032,0008,000