Optimum Design of Steel Skeleton Structures - Music-Inspired Harmony Search Algorithm: Theory and Applications - page 107

Table 7. Trial of various harmony search algorithm parameters

Cases Hms hmcr par Weight (kg)

1 10 0.70 0.25 1,028.79

2 30 0.85 0.35 1,017.11

3 10 0.75 0.50 1,014.40

4 20 0.90 0.20 971.86

5 20 0.80 0.45 968.16

6 30 0.90 0.30 937.32

7 10 0.75 0.45 933.41

8 20 0.85 0.40 931.87

9 30 0.80 0.25 929.59

10 30 0.70 0.30 925.24

Table 8. Optimum design of cellular beam with 9m span

Optimum
UB-Section
Designations

Maximum
Strength
Ratio

Hole
Diameter
(mm)

Minimum
Weight
(kg)

Total
Number
of Holes

533 ä 210 ä 109 UB 586 11 0.98 925.24

50 kN

50 kN

40 kN/m

3.0 m

3.0 m 3.0 m

9.0 m

Fig. 12. Optimum profile of the cellular beam

prior to its use. For this reason a parametric study is carried out with different values
of these parameters and the results obtained is shown in Table 7.
The table covers 10 different cases and for each case the total number of iterations
is taken as 10,000. It is apparent from the table that the minimum weight for the cellu-
lar beam is obtained with hms =30, hmcr =0.70 and par =0.30. In the optimum design
harmony search algorithm selects 533×210×109 UB profile, 11 circular holes and 586
mm for the hole diameter. This design has the minimum weight of 925.24 kg. The op-
timum result is given in Table 8. The maximum strength ratio is equal to 0.98 while