摘要
针对弹箭在控制力作用下的稳定性问题,对有控弹箭稳定性边界的解析预测模型进行研究。通过对弹轴系纵轴向角速度的线性化,在弹轴系下建立了有控弹箭角运动方程;通过对弹轴系与非滚系之间滚转角的线性化,在非滚系下建立了五阶角运动方程。根据线性系统稳定性理论,分别推导出弹轴系和非滚系下的稳定性边界解析预测模型。对两种模型在多种工况下开展了仿真分析,结果表明,所提出的弹轴系模型可用于升弧段和降弧段,但控制方位角的应用范围受限;而非滚系模型不受控制方位角范围限制,预测精度较好,但只能用于降弧段,且控制力过大对模型精度产生不利影响;实际工程中建议对两种模型进行综合应用。
Aiming at the problem of projectile stability under the action of control force,this paper studied the analytical prediction model of stability boundary for guided projectiles.By linearizing the longitudinal axial angular velocity of body axis coordinate,the angular motion equation under the body axis coordinate is established.Through linearizing the roll angle between the body axis coordinate and non-rolling coordinate,a five-order equation of angular motion is proposed under the non-rolling coordinate.Using the stability theory of linear system,the analytical prediction model of stability boundary under the body axis coordinate and non-rolling coordinate are obtained.Simulations of the two models under various working conditions are conducted.Results indicate that the proposed model under the body axis coordinate can be applied in the rising arc segment and the falling arc segment,whereas the control force orientation is limited.The model under the non-rolling coordinate is not limited by the control force orientation,and the prediction accuracy is good.The drawback of this model is that it can only be used for the falling arc section,and its accuracy will be harmfully affected by excessive control force.It is suggested that the two models should be applied comprehensively in practical engineering.
作者
常思江
李东阳
Chang Sijiang;Li Dongyang(College of Energy and Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)
出处
《航空兵器》
CSCD
北大核心
2023年第1期11-18,共8页
Aero Weaponry
基金
瞬态冲击技术重点实验室基金项目(6142606183107)。
关键词
有控弹箭
控制力
角运动
稳定性
弹轴坐标系
非滚转坐标系
controllable projectiles
controllable force
angular motion
stability
body axis coordinate
non-rolling coordinate
