水下爆炸下水下目标振动信号的时频分析
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摘要
针对某水下目标的抗水下爆炸试验数据,基于短时Fourier变换、小波包变换进行时频分析比较研究,得到水下爆炸作用下水下目标振动信号的时频分布和能量分布规律。结果表明,短时Fourier变换使用的窗函数固定,分辨率单一,其分析结果只能大致反映信号能量随时间的变化;小波包具有更好的时频特性,可以提取出水下爆炸下冲击波、滞后流和二次压力波三个不同时段的信号进行能量和频率分析,并由此可确定不同时段对目标毁伤的影响。
The experiment data of a underwater target subjected to underwater explosion was analyzed in time and frequency domain by means of short time Fourier transform and wavelet packet transform. By using these signals, the time-frequency distributions and the energy distributions of blasting frequency bands were obtained. The analyzed results from short time Fourier transform with fixed window function and single resolving power could only reflect how the signal energy varied with time approximately and results from wavelet packet transform had better features of time-frequency, which can obtain the shock wave signal, the afterflow signal and the second pressure pulse to analyze its energy and frequency component, and the respective influence of the signal in different period on the target could be assessed.
The experiment data of a underwater target subjected to underwater explosion was analyzed in time and frequency domain by means of short time Fourier transform and wavelet packet transform. By using these signals, the time-frequency distributions and the energy distributions of blasting frequency bands were obtained. The analyzed results from short time Fourier transform with fixed window function and single resolving power could only reflect how the signal energy varied with time approximately and results from wavelet packet transform had better features of time-frequency, which can obtain the shock wave signal, the afterflow signal and the second pressure pulse to analyze its energy and frequency component, and the respective influence of the signal in different period on the target could be assessed.
引文
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[2]贾宪振,胡毅亭,董明荣等.深水爆炸冲击波作用下圆柱壳动态响应影响因素的数值模拟研究[J].高压物理学报,2008,22(2):208-214.
[3]李国华,李玉节,张效慈等.舰船设备冲击环境的能源研究[J].船舶力学,1998,2(1):37-54.Li Guohua,Li Yujie,Zhang Xiaoci,et al.Study of power for shock environment of ship equipment[J].Journal of Ship Mechanics,1998,2(1):37-54.(in Chinese)
[4]李国华,李玉节,张效慈等.浮动冲击平台水下爆炸冲击谱测量[J].船舶力学,2000,4(2):51-60.Li Guohua,Li Yujie,Zhang Xiaoci,et al.Shock spectrum measurement and analysis of underwater explosion on a float-ing shock platform[J].Journal of Ship Mechanics,2000,4(2):51-60.(in Chinese)
[5]李国华,李玉节,张效慈等.气泡运动与舰船设备冲击振动关系的试验验证[J].船舶力学,2005,9(1):98-105.Li Guohua,Li Yujie,Zhang Xiaoci,et al.Experimental verification of relationship between bubble motion and shock vi-bration of ship equipment[J].Journal of Ship Mechanics,2005,9(1):98-105.(in Chinese)
[6]林大超,施惠基,白春华等.爆炸地震效应的时频分析[J].爆炸与冲击,2003,23(1):31-35.
[7]李夕兵,张义平,刘志祥等.爆破震动信号的小波分析与HHT变换[J].爆炸与冲击,2005,25(6):528-535.
[8]Guo W M,Hong H,Ying X Z.Assessment of structure damage to blasting induced[J].Engineering Structures,2000(22):1378-1389.
[9]Charles K C.An introduction to wavelets[M].New York:Academic Press,1992:297-333.
[10]胡昌华,张军波,夏军等.基于MATLAB的系统分析与统计—小波分析[M].西安:西安电子科技大学出版社,1999:210-232.
[11]Cole R H.Underwater explosions[M].New Jersy:LISA,Princeton University Press,1948:10-50.
[12]Daubechies I.Orthonormal bases of compactly supported wavelet[J].Communication Pure and Applied Mathematics,1988,41(7):909-996.
[13]Daubechies I.The wavelet transform,time-frequency localization and signal analysis[J].IEEE Transactions on Informa-tion Theory,1990,36(5):961-1005.
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