单通道控制旋转弹角运动的复分析方法

doi:10.3969/j.issn.1000-1093.2021.02.009

摘要/Abstract

摘要： 针对单通道控制旋转弹存在气动力不对称，无法直接采用解析方法分析其锥形运动稳定性的不足，研究了其角运动模型和角运动复分析方法。通过在系统矩阵的不对称气动力项中引入比例因子，构建了单对称μ系数模型和对应的复攻角运动模型，并利用复分析方法对无舵偏、固定舵偏及正弦式舵偏情况下的角运动特性进行解析求解。对比分析单通道控制旋转弹的角运动收敛过程、稳态及共振情况，验证了单对称μ系数模型的有效性和角运动解析求解的正确性，揭示了单通道控制旋转弹在正弦式舵偏情况下出现共振不稳定的机理。

关键词: 旋转弹, 单通道, 角运动, 稳定性, 复攻角

Abstract: The stability of coning motion of spinning projectile with one pair of canards cannot be directly analyzed by the analytic method due to the aerodynamic asymmetry. The angular motion model and complex analysis method for the spinning projectile are studied. A complex angle-of-attack motion equation is established, and a scaling factor is introduced to the asymmetric aerodynamic term in the equation. On this basis, the analytical expressions of complex angle-of-attack motion equation under different actuator deflection angles are obtained. The convergence process, steady state and resonance of the model are analyzed. The validity of complex angle-of-attack motion equation is confirmed through numerical simulation, and the cause of resonance instability under sinusoidal actuator deflection is revealed.

Key words: spinningprojectile, singlechannel, angularmotion, stability, complexangleofattack

中图分类号:

TJ760.11

陈成，赵良玉，谢浩怡，郝晓兵. 单通道控制旋转弹角运动的复分析方法[J]. 兵工学报, 2021, 42(2): 308-319.

CHEN Cheng, ZHAO Liangyu, XIE Haoyi, HAO Xiaobing. Complex Analysis for Angular Motion of a Spinning Projectile with One Pair of Canards[J]. Acta Armamentarii, 2021, 42(2): 308-319.

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兵工学报ACTA ARMAMENTARII
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