双旋尾控弹全周期自由旋振运动分析

doi:10.12382/bgxb.2024.0782

摘要/Abstract

摘要：

目前,制导化改造的双旋构型成为了提升弹药打击精度的一种有效方法。研究一种新型双旋尾控弹的全周期扰动运动特性,基于理想轴承假设和非滚转坐标系,建立双旋尾控弹的7自由度弹道模型。采用系数冻结法和小扰动假设对弹道方程进行线性化,获得了全周期扰动运动方程,并将其表示为状态空间形式。选择理想弹道上的特征点,采用数值计算方法获得全周期自由扰动运动解的模态,双旋弹的自由扰动运动表现为一种衰减旋振运动,讨论不同初始偏差下旋振运动解的形式。分析数值计算结果表明:双旋尾控弹在纵侧向运动上表现出了强烈的耦合特征;扰动下的旋振运动可分为长周期和短周期两个阶段,攻角偏量收敛速度慢,且不同攻角偏量的模态幅值具有不同的分布规律,为角运动和制导率设计奠定了基础。

关键词: 双旋尾控弹, 自由扰动运动, 系数冻结法, 线性化弹道, 微型扰流片

Abstract:

Recently, the guided transformation-based dual-spin configuration has become an effective means to improve the accuracy of ammunition strikes.To study the complete period free disturbance motion of a new type of tail-controlled dual-spin projectile, a 7 degrees of freedom ballistic model is established based on the ideal bearing assumption and non-roll coordinate system.The ballistic equations are linearized using the coefficient freezing method and small disturbance assumption.The complete period free disturbance motion equations are derived and represented in a state space form.A feature point on the ideal trajectory is selected.The motion modal for the complete period free disturbance near the feature point is obtained by numerical calculation method.The forms of free disturbance motion under different initial deviation values are discussed.The results indicate that the dual-spin projectile exhibits strong coupling characteristics in longitudinal and lateral motions.Similar to conventional projectiles, the free disturbance motion of dual-spin projectiles can still be divided into two stages: long period and short period.But the difference lies in the slow convergence of the angle of attack offset, and the modal amplitudes of different angle of attack offsets have different distribution patterns.The research results lay the foundation for further studying the angular motion and designing the guidance law.

Key words: tail-controlled dual-spin projectile, free disturbance motion, coefficient freezing method, linearized trajectory, micro-spoiler

钟鼎, 嵇振涛, 杨鹏翔, 张鑫烨, 姜志皓. 双旋尾控弹全周期自由旋振运动分析[J]. 兵工学报, 2024, 45(S2): 271-282.

ZHONG Ding, JI Zhentao, YANG Pengxiang, ZHANG Xinye, JIANG Zhihao. Analysis of Complete Period Free Rotational Vibration Motion of a Tail-controlled Dual-spin Projectile[J]. Acta Armamentarii, 2024, 45(S2): 271-282.

图/表 10

图1 一种双旋尾控弹外型

Fig.1 A new type of dual-spin projectile

图2 理想弹道及特征点的弹道参数

Fig.2 Ballistic parameters of ideal trajectory and feature point

表1 扰动运动系数矩阵元素

Table 1 Parameters of coefficient matrix

参数	数值	参数	数值
a₁₁	-0.0237	a₁₂	0.0247
a₁₃	-0.9052	a₁₄	-5.4290
a₂₁	3.3533×10^-5	a₂₂	0.0859
a₂₄	-0.0203	a₂₅	0.0021
a₃₁	3.2666×10^-6	a₃₃	0.0876
a₃₆	0.0021	a₄₁	-0.0069
a₄₂	-13.1608	a₄₃	-363.1512
a₄₆	34.8944	a₄₇	-0.3239
a₄₈	-103.3560	a₅₁	2.9447×10^-5
a₅₂	355.8118	a₅₃	-13.4323
a₅₆	-34.8944	a₅₇	103.3560
a₅₈	-0.3239

表2 不同运动模态的运动参数

Table 2 Motion parameters of different motion modes

模态	振荡周期/s	振幅减小一半的时间/s	周期衰减比例
高频运动	0.0630	3.5630	0.9878
中频运动	1.7437	3.2054	0.6859
低频运动	468.8944	31.5	3.311×10^-5

图3 给定初始条件下自由扰动运动的两个阶段

Fig.3 Two stages of free disturbance motion under given initial conditions

图4 方位攻角和高低攻角的变化规律

Fig.4 Change relationship between lateral and longitudinal angles of attack

图5 不同初值下的长周期自由扰动运动

Fig.5 Free disturbance motions under different initial conditions in long period

图6 不同初值下的短周期自由扰动运动

Fig.6 Free disturbance motions under different initial conditions in short period

图7 不同初值下的二圆运动

Fig.7 Two-circular motions under different initial values

图8 不同初值情况下解的幅值占比

Fig.8 Proportion of amplitude under different initial conditions

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