#结构实际总质量 222.624t
#一阶振型参与质量 182.552t
#一阶质量占比 82%
import math
#一阶模态质量
mass_moda=182.552
#结构阻尼比
damping_ratio_structure=0.02
#结构一阶频率
frequency_structure = 1.758
ω=2*math.pi*frequency_structure
def tmd(ratio):
mass_ratio_TMD=ratio/100
mass_total_TMD=mass_ratio_TMD*mass_moda
δ=(1-damping_ratio_structure*(math.sqrt(mass_ratio_TMD/(1+mass_ratio_TMD))))/(1+mass_ratio_TMD)
damping_ratio_TMD=damping_ratio_structure/(1+mass_ratio_TMD)+math.sqrt(mass_ratio_TMD/(1+mass_ratio_TMD))
ω_TMD=δ*ω
K_TMD=mass_total_TMD*math.pow(ω_TMD,2)
C_TMD=2*mass_total_TMD* ω_TMD*damping_ratio_TMD
return K_TMD,C_TMD,mass_total_TMD
---> K=109.95 N/mm, C=1.81 N/(mm/s), M=0.91 ton结构模态信息
| MODE NO | FREQUENCY | X-COMPONENT | Y-COMPONENT | Z-COMPONENT |
|---|---|---|---|---|
| 1 | 1.758 | 0.215% | 0.017% | 82.005% |
| MODAL MASS | X:0.479 | Y:0.038 | Z:182.552 | |
| 2 | 2.564 | 99.513% | 0.000% | 0.172% |
| MODAL MASS | X:221.527 | Y:0.000 | Z:0.382 | |
| 3 | 3.679 | 0.010% | 82.141% | 0.024% |
| MODAL MASS | X:0.022 | Y:182.856 | Z:0.054 |
#单人移动荷载
fp=2
G=750
Alpha1=0.5
Alpha2=0.2
Alpha3=0.1
f1=1.69
f2=2.41
f3=2.99
t=np.arange(0,3.01,0.01)
Fp=G+G*(Alpha1*np.sin(2*np.pi*1*fp*t)+Alpha2*np.sin(2*np.pi*2*fp*t-np.pi/2)+Alpha3*np.sin(2*np.pi*3*fp*t-np.pi/2))
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(a) 迭代进化20轮
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(b) 迭代进化35轮
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