炮弹起始扰动姿轨耦合建模与微多普勒特征分析

宫志华 李开明 段鹏伟 陈春江

宫志华, 李开明, 段鹏伟, 等. 炮弹起始扰动姿轨耦合建模与微多普勒特征分析[J]. 雷达学报, 2023, 12(4): 793–803. doi: 10.12000/JR23026
引用本文: 宫志华, 李开明, 段鹏伟, 等. 炮弹起始扰动姿轨耦合建模与微多普勒特征分析[J]. 雷达学报, 2023, 12(4): 793–803. doi: 10.12000/JR23026
GONG Zhihua, LI Kaiming, DUAN Pengwei, et al. Attitude and orbital coupled modeling and micro-Doppler characteristics analysis of the projectile with initial disturbances[J]. Journal of Radars, 2023, 12(4): 793–803. doi: 10.12000/JR23026
Citation: GONG Zhihua, LI Kaiming, DUAN Pengwei, et al. Attitude and orbital coupled modeling and micro-Doppler characteristics analysis of the projectile with initial disturbances[J]. Journal of Radars, 2023, 12(4): 793–803. doi: 10.12000/JR23026

炮弹起始扰动姿轨耦合建模与微多普勒特征分析

doi: 10.12000/JR23026
基金项目: 国家部委基金
详细信息
    作者简介:

    宫志华,硕士,正高级工程师,主要研究方向为雷达测试技术、雷达信号处理

    李开明,博士,副教授,主要研究方向为空天目标特征提取与识别、微多普勒信号处理

    段鹏伟,硕士,高级工程师,主要研究方向为雷达测试技术、雷达信号与数据处理

    陈春江,学士,工程师,主要研究方向为连续波雷达测试技术、信号处理与数据处理

    通讯作者:

    宫志华 radar_measure@163.com

    段鹏伟 radar_measure@163.com

  • 责任主编:张群 Corresponding Editor: ZHANG Qun
  • 中图分类号: TN957.51

Attitude and Orbital Coupled Modeling and Micro-Doppler Characteristics Analysis of the Projectile with Initial Disturbances

Funds: The National Ministries Foundation
More Information
  • 摘要: 基于动力学与运动学原理的雷达回波建模是炮弹目标微多普勒特征分析与参数提取的理论基础。该文首先对炮弹在直线弹道段受到的起始扰动进行分析,结合炮弹目标动力学方程,建立了以两圆运动模式为特征的炮弹角运动模型,阐明了炮弹目标自旋、章动和进动等角运动的含义;在此基础上,推导了炮弹角运动产生的微多普勒信号参数化表征,获得了炮弹目标角运动对目标回波在信号级的映射关系;然后,对高速自旋炮弹和低速自旋尾翼炮弹两种典型目标角运动受起始扰动影响的雷达回波信号进行仿真和时频分析,并基于炮弹目标实测数据对比验证了理论分析与模型的正确性。通过理论分析、建模仿真与实验验证,丰富和验证了炮弹目标的微多普勒效应理论,为炮弹目标运动特性辨识提供了理论和技术支撑。

     

  • 图  1  弹道轨迹与直线弹道段示意图

    Figure  1.  Schematic diagram of ballistic and the straight line segment

    图  2  炮弹直线段角运动空间几何关系

    Figure  2.  Spatial geometric relation of projectile angular motion in the straight line segment

    图  3  初始时刻4种坐标系空间几何关系

    Figure  3.  Spatial geometric relation of the four coordinate systems as the projectile is stationary

    图  4  快圆和慢圆不衰减情况(高速旋转炮弹)

    Figure  4.  In the case of neither the fast nor the slow circular motion decays (high-speed rotating projectile)

    图  5  快圆衰减而慢圆不衰减情况(高速旋转炮弹)

    Figure  5.  In the case of the fast circular motion decays and the slow circular motion remains (high-speed rotating projectile)

    图  6  快圆和慢圆均在衰减情况(高速旋转炮弹)

    Figure  6.  In the case of both the fast and the slow circular motion decays (high-speed rotating projectile)

    图  7  快圆和慢圆不衰减情况(旋转尾翼炮弹)

    Figure  7.  In the case of neither the fast nor the slow circular motion decays (rotating tail projectile)

    图  8  快圆衰减而慢圆不衰减情况(旋转尾翼炮弹)

    Figure  8.  In the case of the fast circular motion decays and the slow circular motion remains (rotating tail projectile)

    图  9  快圆和慢圆均在衰减情况(旋转尾翼炮弹)

    Figure  9.  In the case of both the fast and the slow circular motion decays (rotating tail projectile)

    图  10  某型炮弹直线段回波时频分析仿真结果

    Figure  10.  Simulated time-frequency image of projectile in the straight line segment

    图  11  某型末制导炮弹时频分析仿真结果

    Figure  11.  Time-frequency image of terminal guided projectile in the straight line segment

    图  12  某型炮弹直线段回波真实时频图像

    Figure  12.  Actual time-frequency image of projectile in the straight line segment

    图  13  某型末制导炮弹直线段回波真实时频图像

    Figure  13.  Time-frequency image of terminal guided projectile in the straight line segment

    表  1  仿真参数设置(高速旋转炮弹)

    Table  1.   Simulation parameters setting (high-speed rotating projectile)

    参数数值
    A坐标(0.5 m, 0, 0)
    B1坐标(–0.3 m, 0.06 m, 0)
    B2坐标(–0.3 m, –0.06 m, 0)
    自旋频率${\varOmega _{\text{s} } }$300π rad/s
    进动频率${\varOmega _{\text{c} } }$4π rad/s
    章动频率${\varOmega _{\text{u} } }$60π rad/s
    章动角$\phi $1.2°
    进动角$\psi $8.2°
    观测时间2.00 s
    采样率25 kHz
    下载: 导出CSV

    表  2  Hough变换提取的时频图像周期(高速旋转炮弹)

    Table  2.   Extracted period of time-frequency image with Hough Transform (high-speed rotating projectile)

    蒙特卡罗
    次数
    弹顶
    微动周期均值(s)
    弹底边缘点
    微动周期均值(s)
    50.4840.482
    100.4880.485
    200.4920.490
    下载: 导出CSV

    表  3  仿真参数设置(旋转尾翼炮弹)

    Table  3.   Simulation parameters setting (rotating tail projectile )

    参数数值
    A坐标(1.2 m, 0, 0)
    B1坐标(–1.8 m, 0.12 m, 0)
    B2坐标(–1.8 m, –0.12 m, 0)
    自旋频率${\varOmega _{\text{s} } }$10π rad/s
    进动频率${\varOmega _{\text{c} } }$π rad/s
    章动频率${\varOmega _{\text{u} } }$4π rad/s
    章动角$\phi $0.8°
    进动角$\psi $8.2°
    观测时间4.00 s
    采样率5 kHz
    下载: 导出CSV

    表  4  Hough变换提取的时频图像周期(旋转尾翼炮弹)

    Table  4.   Extracted period of time-frequency image with Hough Transform (rotating tail projectile)

    蒙特卡罗
    次数
    弹顶
    微动周期均值(s)
    尾翼
    微动周期均值(s)
    51.9931.990
    101.9951.991
    201.9961.992
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-03-03
  • 修回日期:  2023-05-16
  • 网络出版日期:  2023-06-09
  • 刊出日期:  2023-08-28

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