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

Table 11

Comparison of optimized designs found for the planar 47-bar truss.

No.	Variable	GA [21]	FSD-ES [22]	PSO [17]	CPSO [17]	SCPSO [17]	FEPSO-AP
1		2.50	2.70	2.80	2.60	2.50	3.20
2		2.20	2.50	2.70	2.50	2.50	2.80
3		0.70	0.70	0.80	0.70	0.80	0.70
4		0.10	0.10	1.10	0.30	0.10	0.10
5		1.30	0.90	0.80	1.20	0.70	0.60
6		1.30	1.10	1.30	1.10	1.40	1.60
7		1.80	1.80	1.80	1.60	1.70	1.90
8		0.50	0.70	0.90	0.80	0.80	0.90
9		0.80	0.90	1.20	1.10	0.90	1.00
10		1.20	1.30	1.40	1.30	1.30	2.00
11		0.40	0.30	0.30	0.30	0.30	0.10
12		1.20	1.10	1.40	0.80	0.90	0.40
13		0.90	1.00	1.10	1.00	1.00	1.40
14		1.00	0.90	1.20	1.00	1.10	1.50
15		3.60	0.80	1.60	0.90	5.00	1.20
16		0.10	0.10	1.00	0.10	0.10	0.70
17		2.40	2.70	2.80	2.70	2.50	5.00
18		1.10	0.80	0.80	0.90	1.00	1.00
19		0.10	0.10	0.10	0.10	0.10	0.10
20		2.70	3.00	3.00	3.00	2.80	3.00
21		0.80	0.90	0.90	1.00	0.90	0.50
22		0.10	0.00	0.10	0.20	0.10	0.10
23		2.80	3.20	3.30	3.30	3.00	3.30
24		1.30	1.00	0.90	0.90	1.00	0.30
25		0.20	0.10	0.10	0.10	0.10	0.10
26		3.00	3.30	3.30	3.30	3.20	3.50
27		1.20	1.10	1.20	1.10	1.20	0.40
28		114.0000	100.9724	98.8628	99.3630	101.3393	87.7275
29		97.0000	80.4772	78.6595	83.4439	85.9111	72.4352
30		125.0000	136.8699	146.7331	126.3845	135.9645	162.6451
31		76.0000	64.3908	66.5231	69.5148	74.7969	67.2113
32		261.0000	247.0491	239.0901	218.2013	237.7447	218.2041
33		69.0000	55.2589	55.6936	58.0004	64.3115	50.6507
34		316.0000	338.4534	327.7882	322.2272	321.3416	375.4549
35		56.0000	48.7333	48.8641	51.4015	53.3345	36.6525
36		414.0000	409.7380	398.6775	401.5626	414.3025	408.7230
37		50.0000	43.4742	43.1400	46.8605	46.0277	36.9960
38		463.0000	472.1479	464.7831	458.3021	489.9216	483.4295
39		54.0000	44.8349	37.8993	46.8885	41.8353	37.9558
40		524.0000	512.1901	511.0450	527.8575	522.4161	535.7644
41		1.0000	3.8414	18.2341	16.2354	1.0005	4.6875
42		587.0000	591.1449	594.0710	610.8496	598.3905	599.7416
43		99.0000	84.5040	90.9369	98.3239	97.8696	101.4535
44		631.0000	630.3472	621.3943	624.9580	624.0552	605.4302
Best weight (lb)		1925.7897	1842.6609	1975.8393	1908.8301	1864.0985	1799.7037
Maximum stress (ksi)		19.9528	20.0000	19.0636	19.3351	19.4735	19.9808
Minimum stress (ksi)		−14.9973	−15.0000	−14.9999	−14.9986	−15.0000	−14.9986
Number of buckling elements		0	0	0	0	0	0
Number of structural analyses		100,000	55,802	25,000	25,000	25,000	20,000