A New Genetic Algorithm Methodology for Design Optimization of Truss Structures: Bipopulation-Based Genetic Algorithm with Enhanced Interval Search

Table 9

Comparison of optimum designs, critical deflection, and stress values for BGAwEIS (spatial truss with 72-bars).

Design variables	References
	Venkaya [100]	Gellatly and Berke [101]	Renwei and Peng [102]	Schmit and Farshi [103]	Erbatur et al. [97]	SGA	MPGA	BGAwEIS
1–4	0.161	0.1492	0.1641	0.1585	0.161	0.873	0.675	0,156
5–12	0.557	0.7733	0.5552	0.5936	0.544	1.681	0.253	0,555
13–16	0.377	0.4534	0.4187	0.3414	0.379	0.100	0.601	0,370
17-18	0.506	0.3417	0.5758	0.6076	0.521	1.418	0.437	0,510
19–22	0.611	0.5521	0.5327	0.2643	0.535	0.986	0.841	0,620
23–30	0.532	0.6084	0.5256	0.5480	0.535	1.530	0.861	0,530
31–34	0.100	0.100	0.100	0.100	0.103	1.982	0.460	0,100
35-36	0.100	0.100	0.100	0.1509	0.111	1.121	1.513	0,100
37–40	1.246	1.0235	1.2893	1.1067	1.310	1.589	1.910	1,250
41–48	0.524	0.5421	0.5201	0.5793	0.498	1.987	0.789	0,523
49–52	0.100	0.100	0.100	0.100	0.110	1.083	0.132	0,101
53-54	0.100	0.100	0.100	0.100	0.103	1.856	0.936	0,105
55–58	1.818	1.464	1.9173	2.0784	1.910	0.268	1.840	1,860
59–66	0.524	0.5207	0.5207	0.5034	0.525	1.473	0.899	0,513
67–70	0.100	0.100	0.100	0.100	0.122	0.849	0.244	0,100
17–72	0.100	0.100	0.100	0.100	0.103	1.469	0.183	0,100
Best Weight	381.28	395.97	379.66	388.65	383.120	1196.89	594.811	380.783
0.0091, 0.0091, 0.2391 at node1 for Case 1; Max. displacement. in 𝑥, 𝑦 and 𝑧 directions:
0.2499, 0.2499, 0.0718 at node1 for Case 2
Max. element stress: 16.2519 at element 1 for Case 1;
24.9371 at element 1 for Case 2