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鸭式布局二维修正旋转稳定弹受控角运动响应特性研究

李红云,申强,邓子龙*,梁晨   

  1. 北京理工大学 机电学院,北京 100081
  • 收稿日期:2025-02-18 修回日期:2025-07-22
  • 基金资助:
    重点实验室基金项目(614260124030209);国家自然科学基金青年基金项目(62403055);国家自然科学基金项目(61973033);

Research on the Response Characteristics of the Controlled Angular Motion of the Two-Dimensional Correction Spin-Stabilized Projectile with Canard Layout

LI Hongyun, SHEN Qiang, DENG Zilong*, LIANG Chen   

  1. School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:2025-02-18 Revised:2025-07-22

摘要: 针对鸭式布局旋转稳定弹在时变滚转角指令下的攻角响应问题,基于小攻角假设建立弹丸状态空间模型,并求解脉冲响应矩阵。在时域中,利用卷积定理构建攻角响应的通用解析模型;在频域中,分析周期指令输入可能引发的共振机理。为明确鸭舵结构参数、气动参数和控制参数对攻角的影响规律,推导了攻角幅值的参数化解析解。研究结果表明:建立的攻角通用解析模型可准确计算时变、固定和周期滚转角指令下的攻角响应。增大鸭舵组件的舵偏角、控制力作用点距弹丸质心的距离或升力系数导数,均会导致攻角幅值增大。在飞行过程中,应尽量避免滚转角频繁变化,并可对攻角幅值进行限制以保证飞行稳定性;此外,当滚转角指令连续变化时,应避免其变化频率接近弹丸固有频率,以防止攻角幅值剧烈增大。仿真结果验证了理论的正确性,该研究为鸭式布局旋转稳定弹的角运动特性研究提供了补充。

关键词: 旋转稳定弹, 角运动特性, 时变控制指令, 攻角影响因素

Abstract: To address the angle of attack response of spin-stabilized projectiles with canard layout under time-varying roll angle commands, a state-space model of the projectile is established based on the small angle of attack assumption, and the impulse response matrix is solved. In the time domain, a general analytical model of the angle of attack response is constructed using the convolution theorem; in the frequency domain, the potential resonance mechanism induced by periodic command inputs is analyzed. To clarify the influence of canard structural parameters, aerodynamic parameters, and control parameters on the angle of attack, a parameterized analytical solution for the amplitude of the angle of attack is derived. The results show that the established general analytical model can accurately calculate the angle of attack response under time-varying, fixed, and periodic roll angle commands. Increasing the deflection angle of the canard, the distance from the action point of the control force to the projectile's center of mass, or the derivative of the lift coefficient will all lead to an increase in the amplitude of the angle of attack. During flight, frequent changes in the roll angle should be avoided as far as possible, and the amplitude of the angle of attack should be limited to ensure flight stability. In addition, when the roll angle command changes continuously, it is necessary to prevent its change frequency from approaching the natural frequency of the projectile to avoid a sharp increase in the amplitude of the angle of attack. The simulation results verify the correctness of the theory, and this research supplements the studies on the angular motion characteristics of spin-stabilized projectiles with canard layout.

Key words: spin-stabilized projectile, angular motion characteristics, time-varying control command, influence factors of the angle of attack

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