Meta-heuristic Algorithms for Optimal Design of Real-Size Structures by Ali Kaveh & Majid Ilchi Ghazaan

Author:Ali Kaveh & Majid Ilchi Ghazaan
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

19

ST 4

ST 4

ST 3½

ST 3½

20

ST 3½

ST 3½

ST 3½

ST 3½

21

ST 3½

ST 3

ST 3½

EST 2½

22

ST 2½

ST 2½

ST 2½

ST 2½

Weight (kg)

55,621

54,569

53,704

53,552

Average optimized weight (kg)

62,287

59,164

60,850

58,589

Standard deviation on average weight (kg)

9853

5597

5985

3626

Fig. 5.6Convergence curves for the 672-bar double-layer grid problem

5.3.3 A 800-Bar Double-Layer Grid

The design of square on square double-layer grid shown in Fig. 5.7 is considered as the third example. This structure has 800 members and 221 nodes and the bottom layer is simply supported at the nodes illustrated in Fig. 5.8a. Each top layer joint is subjected to a concentrated vertical load of 30 kN. Cross-sectional areas of the members are categorized into 24 groups as shown in Fig. 5.8. In order to optimize this structure by MDVC-UVPS, two stages are considered. The design variable configuration utilized for the first stage is listed as follows: [1], [2 4], [3 5], [6 8], [7 9], [10], [11], [12 14], [13 15], [16 18], [17 19], [20 21 22], and [23 24].

Fig. 5.73D view of the 800-bar double-layer grid problem

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