冲击波超压测试系统二次仪表频域特性

杜红棉; 何志文; 马铁华

doi:10.11883/1001-1455(2015)02-0261-06

冲击波超压测试系统二次仪表频域特性

doi: 10.11883/1001-1455(2015)02-0261-06

杜红棉^{1, 2},
何志文^1,,
马铁华^{1, 2}

1.
中北大学仪器科学与动态测试教育部重点实验室，山西太原 030051
2.
中北大学电子测试技术国家重点实验室, 山西太原030051

基金项目: 山西省青年科技研究基金项目(2013021015);仪器科学与动态测试教育部重点实验室基金项目(9140c20409)

详细信息

作者简介:
杜红棉(1977—), 女, 博士, 副教授

通讯作者:何志文, hezhiwen6@163.com

中图分类号: O347.5;TN911.6
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- 文章访问数: 3279
- HTML全文浏览量: 366
- PDF下载量: 441
- 被引次数: 0
出版历程
- 收稿日期: 2013-07-20
- 修回日期: 2014-03-06
- 刊出日期: 2015-03-25

Frequency domain characteristic of secondary instrument in the shock overpressure measurement system

Du Hong-mian^{1, 2},
He Zhi-wen^1
,,
Ma Tie-hua^{1, 2}

1.
Key Laboratory of Instrumentation Science & Dynamic Measurement ofthe Ministry Education, North University of China, Taiyuan 030051, Shanxi, China
2.
National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan 030051, Shanxi, China

摘要

摘要: 从二次仪表对冲击波的峰值、持续时间和比冲量3个主要参数的影响出发，首先构建了冲击波信号用以分析冲击波信号特性；搭建了适配器等效电路，对适配器的低频特性进行了实验研究；在MATLAB平台上构建了5种常用滤波器模型，模拟了不同类型滤波器和不同截止频率下测试系统的输出。模拟和实验结果表明：适配器的低频特性影响冲击波信号的持续时间和比冲量；在5种滤波器中贝塞尔滤波器最适合冲击波测试系统；滤波器截止频率对冲击波超压峰值影响明显；小型试验对测试系统的带宽要求高。
- 爆炸力学 /
- 频域特性 /
- 滤波器 /
- 二次仪表 /
- 冲击波
Abstract: The frequency domain characteristics of measurement system are determined by transducer and secondary instrument, and the former one has been widely studied. It is shown that peak value, positive phase duration and impulse are affected by secondary instrument. The ideal shock wave signal was constructed for its frequency characteristic analysis. The low frequency characteristic of adapter was also experimentally investigated. Five different filters were modeled, and their output under different cutoff frequencies was simulated with the ideal shock wave as input signal. The simulation and experimental results are summarized as follows: The low frequency characteristic of adapter has the influence to positive phase duration and impulse; Bessel filter is the best one for shock wave measurement system of the five filters; The peak value of shock wave is obviously affected by the filters cutoff frequency; And the shock wave signal with short positive phase duration needs higher system bandwidth.
- mechanics of explosion /
- frequency characteristics /
- filter /
- secondary instrument /
- shock wave

HTML全文

图 1 理想冲击波

Figure 1. Ideal shock wave

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图 2 冲击波超压信号

Figure 2. Ideal blast wave

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图 3 实测冲击波超压信号

Figure 3. Measured blast wave

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图 4 高通滤波器的输入输出对比

Figure 4. Input and output contrast of the high-pass filter

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图 5 不同滤波器对冲击波信号的滤波结果

Figure 5. The shock wave filtering results with different filters

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表 1 冲击波信号参数表

Table 1. Parameter list of blast wave

w/kg	r/m	Δp_max/MPa	t₊/ms
1	0.5	4.007	3.0
1	1	1.030	4.3
1	2	0.215	6.0
1	3	0.085	7.4
1	4	0.046	8.5
1	5	0.029	9.5
10	5	0.152	4.4
100	5	0.880	6.5
1 000	5	4.007	9.5

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表 2 不同截止频率的高通滤波器的输出

Table 2. High-pass filter output characteristic of shock wave with different cutoff frequency

τ_{+, in}/ms	f_c=0.159 Hz		f_c=1.59 Hz		f_c=15.9 Hz
τ_{+, in}/ms	τ_{+, out}/ms	ε/%	τ_{+, out}/ms	ε/%	τ_{+, out}/ms	ε/%
0.1	0.10	0	0.10	0	0.097	3
1.0	1.00	0	1.00	0	0.81	19
10.0	10.00	0	8.31	16.9	4.72	52.8

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表 3 低通滤波器滤波前后误差

Table 3. The peak error statistics of shock wave through the five kinds of low-pass filter

方法	Δp_max/MPa	ε/%
输入	80.600 0	0
巴特沃兹	88.539 4	9.8
切比雪夫Ⅰ	53.473 1	-33.6
切比雪夫Ⅱ	86.068 7	6.8
椭圆形	75.258 6	-6.6
贝塞尔	78.711 7	-2.3

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表 4 冲击波超压峰值在不同截止频率下的误差

Table 4. The peak error statistics of shock wave through the Bessel filter

w/kg	r/m	Δp_{max, in}/MPa	f_c=50 kHz		f_c=100 kHz		f_c=130 kHz		f_c=156 kHz
w/kg	r/m	Δp_{max, in}/MPa	Δp_{max, out}/MPa	ε/%	Δp_{max, out}/MPa	ε/%	Δp_{max, out}/MPa	ε/%	Δp_{max, out}/MPa	ε/%
1	0.3	80.60	76.28	5.3	78.47	2.6	78.94	2.1	79.25	1.7
1	1	0.800 0	0.776 0	3.0	0.788 9	1.4	0.792 0	1.1	0.793 0	0.8
1 000	10	0.800 0	0.799 0	1.3	0.800 3	0.4	0.800 1	0.1	0.800 1	0.1
1 000	100	0.001	0.001	0	0.001	0	0.001	0	0.001	0

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