基于小波分析的实船水下爆炸船体响应特征

谢耀国; 姚熊亮; 崔洪斌; 李新飞

doi:10.11883/1001-1455(2017)01-0099-08

基于小波分析的实船水下爆炸船体响应特征

doi: 10.11883/1001-1455(2017)01-0099-08

哈尔滨工程大学船舶工程学院，黑龙江哈尔滨 150001

基金项目:

国家自然科学基金项目 51279038

国家安全重大基础研究项目 613157

详细信息

作者简介:
谢耀国(1982—)，男，博士，讲师，xieyaoguo@hrbeu.edu.cn

中图分类号: O381;U661.44
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- 被引次数: 0
出版历程
- 收稿日期: 2015-07-01
- 修回日期: 2015-12-18
- 刊出日期: 2017-01-25

Wavelet analysis on shock response of a real ship subjected to non-contact underwater explosion

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

摘要

摘要: 为了研究水下爆炸条件下船体冲击振动响应时频特征，针对某实船非接触水下爆炸实验冲击响应测试实验数据，基于小波分析及能量统计方法对响应信号进行时频特性分析，得到了实船非接触水下爆炸冲击振动响应的时频分布和能量分布。分析结果表明，采用基于小波变换的时频分析方法，可以成功获得船体冲击响应信号不同频率段下的强度、能量和作用时间等时频细节信息，包括响应信号各频段冲击峰值、衰减过程、振动能量及其在全频率段上所占的分数。通过对小波频段能量统计以及冲击强度分析发现，冲击响应能量频段分布较广，主甲板及以下甲板全频段振动能量的80%以上在312.5 Hz以上,上层建筑甲板平台各频段冲击振动能量分数向低频段转移。
- 爆炸力学 /
- 时频特征 /
- 小波分析 /
- 实船 /
- 水下爆炸 /
- 冲击响应
Abstract: With a view to obtaining the characterisstic of shock response of the hull to underwater explosion, based on the experimental impact vibration data subjected to underwater explosion trial of ship, the time-frequency characteristics of the monitored impact vibration signals were studied by wavelet analysis. By using these signals, the acceleration-time curves and the energy distributions in different blasting frequency bands were obtained. The result show that the time-frequency characteristics of impact vibration can be obtained by the wavelet analysis, it is easy to get the time-frequency information details of the impact vibration signal intensity, frequency and duration, including the peak values and attenuation and vibration energy of impact vibration signals. Based on the analysis of the energy statistics and impact strength of the wavelet frequency band, found that has a wide distribution of shock response spectrum energy, more than 80% of vibration energy distributed above 312.5Hz at the main deck and below deck, and more vibration energy in low frequency at superstructure deck platform.
- mechanics of explosion /
- time-frequency characteristic /
- wavelet analysis /
- real ship /
- underwater explosion /
- shock response

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图 1 实船水下爆炸冲击响应加速度测试信号

Figure 1. Shock response acceleration test signal of each deck of real ship subjected to underwater explosion shock

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图 2 甲板1冲击响应重构信号及重构信号与原始信号的相对误差分布

Figure 2. Distribution of shock response reconstructed signal of main deck and the relative error between the reconstructed signal and the original signal

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图 3 甲板1冲击响应信号小波分解后的分层重构信号

Figure 3. Shock response signals of main deck undergoing wavelet decomposition at different levels

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图 4 甲板01及甲板2在a9小波频段上的冲击加速度响应

Figure 4. Shock acceleration responses of decks 01 and 2 at a9 wavelet spectrum

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图 5 各层甲板冲击加速度谱

Figure 5. Acceleration spectra of different decks

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图 6 甲板间小波频段能量变化

Figure 6. Band energy changes between decks

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表 1 小波分解频段

Table 1. Corresponding frequency bands of wavelet decomposition

小波系数	d1	d2	d3	d4	d5	d6	d7	d8	d9	a9
f_i/Hz	5 000~10 000	2 500~5 000	1 250~2 500	625~1 250	312.5~625	156.25~312.5	78.125~156.25	39.062 5~78.125	19.531 25~39.062 5	0~19.531 25

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表 2 各甲板测点冲击响应信号小波分解信号各频带能量信息

Table 2. Band parameters for shock response signals of decks

i	f_i/Hz	A_{i, max}/g			E_i/g²			k_i/%
i	f_i/Hz	甲板01	甲板1	甲板2	甲板01	甲板1	甲板2	甲板01	甲板1	甲板2
d1	5 000~10 000	11.51	33.36	111.36	7 307.46	53 917.82	518 888.60	3.02	3.14	11.28
d2	2 500~5 000	8.70	50.27	95.15	7 600.98	115 947.60	384 515.90	3.14	6.76	8.36
d3	1 250~2 500	15.43	40.09	107.17	22 028.13	85 816.75	260 952.60	9.10	5.01	5.67
d4	625~1 250	31.28	107.97	132.08	46 007.65	397 562.20	668 500.30	19.01	23.20	14.50
d5	312.5~625	12.98	126.22	184.77	42 606.12	791 057.50	2 184 242.00	17.61	46.20	47.50
d6	156.25~312.5	7.67	27.83	41.02	10 172.70	112 680.40	291 414.80	4.20	6.58	6.33
d7	78.125~156.25	2.85	9.75	13.79	3 641.01	43 371.17	111 032.10	1.50	2.53	2.41
d8	39.062 5~78.125	8.09	7.82	9.74	26 572.24	31 322.22	107 088.90	10.98	1.83	2.33
d9	19.531 25~39.062 5	5.98	4.33	5.23	37842.86	40 194.21	46 575.54	15.64	2.35	0.58
a9	0~19.531 25	8.20	7.48	8.73	38 223.99	41357.92	48 494.98	15.80	2.41	1.00

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