이산형 변수를 이용한 뼈대구조물의 다단계 최적설계

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b

_f

h

_w

t

_w

t

_f

m

_n

I

_n

I

₁

I

₂

m

₁

m

₂

h

₁

h

₂

h

_n

..

.

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ρ

ω

φ

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0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 W 10 W 12 W 14 W 16 W 18

A

(c

m

2

)

I (*1000 cm

4

)

0 50000 100000 150000 200000 250000 300000 350000 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 W 10 W 12 W 14 W 16 W 18

S

(

c

m

3

)

I (cm

4

₎

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Input Initial Value

Calculate : I 0, A0, S0

Dynamic Analysis Sensitivity Analysis System Optimization W/O Frequency Constraint

Dynamic Analysis Check Conve rgence Feasiblity of Frequency Constraint Yes No Element Optimization ω0=(ωL +ωU)/2 Yes No Check Conve rgence of System & Element

Stop Yes No ω_i < ω₀ Generate: Gi=ωi > ωU Generate: Gi=ωi < ωL Yes No i=1 Max Mode=i i=i+1 No Calculate : I 0, A0, S0 Yes Dynamic Analysis Sensitivity Analysis System Optimization with Frequency Constraint

Dynamic Analysis Check Conve rgence Element Optimization Check Convergence of System & Element

Stop Yes Yes No No

ρ

β

η

β η

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δ

β

δ

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ρ

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0 200 400 600 800 1000 1200 1400 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000 Initial value 1 100% Initial value 2 150% Initial value 3 50% W e ig h t( kg )

Num ber of A nalysis

5 10 15 20 25 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000 Initial value 1 100% Initial value 2 150% Initial value 3 50% W e ig h t( kg ) Number of Analysis

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