基于粒子群算法的冲击响应谱时域合成方法

1 1 1. 嶯 310027 1994 4 21725086 1965 1 1 1 Fig.1 Shock response spectrum calculation Kennedy Eberhart 1995 淶 2,3 书 浱 4 1 s i n 1 s in 2 s in 2 1 n i iii ifx t A f t tN e x p 1 s in 2 e x p 2 2 n i iii ifx t A f t tN 1 s in 2 0 . 5 0 . 5 * c o s 4 3 n ih a n n i i i i fx t A f t tN 1 s in 2 4 n r e c t i iix t A f t xt 5 1 0 0, sin 2 sin 2 , 0 di n i i i di di di di ii i t fx t A f t t t t t t T N 5 , di itT n iT i dit i iA i if i iN i 3 1.1 n if if 0f 1 1 2 i l i f ff 1l 1/12 n 0 m in l g 61 l g 2 s f fn l m a x 0 l g 7 1 l g 2 e f fn l 1 8esn n n maxf minf x x 0 9 2 ss nl ff 10 2 1 0 snnleff 1.2 iN 0.05 Q 1 1 1 2Q Q 1 Q Table.1 Correspondence between the maximum and minimum values of the half sine wave and the quality factor Q Q 5 19 5 50 35 13 Q iN min max,NN iN if iT 12 2 ii iNT f iT 0t 0 1 3 iTt 20 21 0 1 4 2 iiN tf 0 min12t f 6 0t min 12f iN 02ift iN min max,NN 1.3 iT dit if iN iT dit m a x / 2 15 di it T T maxT iT 1.4 iA iA 1 6 t a r ii i AA N tariA if xt 2 if 2 7 Fig.2 Shock response spectrum used without measurement data 2 k /dB Oct if 1if tariA 1tariA k 1 1 l g l g 1 7 2 0 l g 2 t a r i i t a r i i A fkAf k 6 /dB Oct x 45 1.5 iA yiA tariA if iA 1 8 m a x t a r i ii yi AAA A iA maxiAA maxA 2 1 m a x 1 9 n y i t a r ii AA 1.6 1 ix iA iv 2 iF 3 iF iPbest iiF Pbest iF iPbest 4 iF Gbest iF Gbest iF Gbest 5 8 i d 1 1 11 1 2 2 2 0 k k k ki d i d i d i d i dv v c r P b e s t x c r G b e s t x i d 11 2 1 k k kid id idx x v 1r 2r 0,1 k 2 棬 10Hz 0.8g 160Hz 20g 2000Hz 20g 1s 3dB iA 100 3 Fig.3 Synthetic time domain impulse wave based on particle swarm optimization 4 Fig.4 Shock response spectrum based on particle swarm optimization 5 1000 仯 Fig.5 Variation of fitness value of 1000 iterations based on particle swarm optimization 5 1000 仯 300 ix iA 18 6 Fig.6 Improved time domain impulse wave after algorithm improvement 7 Fig.7 Improved shock response spectrum 8 100 仯 Fig.8 100 times iteration fitness value change after algorithm improvement 3 ix iA 1 , , . J. b , 2007, 282 23-26. Chen Xiaohui, Yan Bing, Li Huachao. Research on the Time historyWave Synthesis of Shock Response SpectrumJ.Packaging Engineering,2007,28223-26. 2 , , , et al. J. , 2018Z1 75-77. Dai Jin, You Xianghua, Zeng Kejie, et al. Calculation of Shock Response spectrum Based on Genetic AlgorithmJ. Digital Manufacturing Industry, 2018Z175-77. 3 , , . J. , 2015, 425 49-53. Ma Daoyuan, Zhuang Fangfang, Xu Zhenliang. Time-domain synthesis for shock response spectrum based on genetic algorithmJ. Structure shock response spectrum; synthetic time domain wave; sinusoidal window fundamental 1994 , , 17794539265; E-mail 21725086 1965 绰 13805793651 E-mail chenzw 38 209 绰 E-mail