固定翼双旋弹动力学分岔特性分析

doi:10.7527/S1000-6893.2015.0096

流体力学与飞行力学

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固定翼双旋弹动力学分岔特性分析

许诺, 于剑桥, 王亚飞

北京理工大学宇航学院, 北京 100081

收稿日期:2015-02-03 修回日期:2015-04-01 出版日期:2015-12-15 发布日期:2015-07-14
通讯作者: 于剑桥,Tel.:010-68912407,E-mail:jianqiao@bit.edu.cn E-mail:jianqiao@bit.edu.cn
作者简介:许诺,男,博士研究生。主要研究方向:飞行器总体设计与飞行器控制。Tel:15210800570,E-mail:promise_moon@126.com;于剑桥,男,博士,教授,博士生导师。主要研究方向:飞行器总体设计与飞行器控制。Tel:010-68912407,E-mail:jianqiao@bit.edu.cn
基金资助:
国家自然科学基金(61350010)

Dynamic bifurcation characteristics analysis on fixed-canard dual-spin projectiles

XU Nuo, YU Jianqiao, WANG Yafei

School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2015-02-03 Revised:2015-04-01 Online:2015-12-15 Published:2015-07-14
Supported by:
National Natural Science Foundation of China (61350010)

摘要/Abstract

摘要：

针对一种滚转稳定的固定翼双旋弹,对其非线性动力学进行了分岔特性分析,并在此基础上研究了各系统参数对其动力学分岔特性的影响。根据固定翼双旋弹非对称的特点,通过数值计算方法研究其飞行过程中平衡点随同向鸭翼安装角的变化规律,通过系统的分岔图得知系统具有三组稳定平衡点,其中只有一组平衡点为理想可行的稳定平衡点,因此需限定同向鸭翼安装角的范围以使固定翼双旋弹保持稳定飞行。在此基础上针对固定翼双旋弹弹道修正组件周期旋转和转角固定两种工作模式,通过各系统参数下的系统分岔图总结了固定翼双旋弹结构及气动力参数对其动力学系统分岔特性的影响。仿真结果表明,固定翼双旋弹的各气动力参数及飞行速度均对系统的分岔特性具有较大影响,应合理选定这些系统参数以使其具有良好的气动特性。

关键词: 固定翼, 双旋弹, 非线性动力学, 分岔特性, 平衡点

Abstract:

The nonlinear dynamic bifurcation characteristics of a fixed-canard dual-spin projectile are analyzed, and the influence of the system parameters on the dynamic bifurcation characteristics are researched. Based on the asymmetry characteristic of fixed-canard dual-spin projectiles, the variations of equilibrium points with installation angle of the homodromous fixed-canard are presented by the numerical method, and then the bifurcation diagrams are obtained. There are three stable equilibrium points, only one of which is the expected stable equilibrium point, so the range of homodromous fixed-canard installation angle needs to be limited to make the fixed-canard dual-spin projectile stable. Then the bifurcation diagrams with various system parameters are drawn when the trajectory correction component rotate periodically and when it is fixed, the influence on bifurcation characteristics of the system by structural and aerodynamic parameters are summarized. The results indicate that the aerodynamic parameters and the flight velocity of the fixed-canard dual-spin projectile have a great influence on the bifurcation characteristics of the system, so the parameters of system should be reasonably selected to make fixed-canard dual-spin projectiles have good aerodynamic characteristics.

Key words: fixed-canard, dual-spin projectiles, nonlinear dynamics, bifurcation characteristics, equilibrium points

中图分类号:

许诺, 于剑桥, 王亚飞. 固定翼双旋弹动力学分岔特性分析[J]. 航空学报, 2015, 36(12): 3798-3808.

XU Nuo, YU Jianqiao, WANG Yafei. Dynamic bifurcation characteristics analysis on fixed-canard dual-spin projectiles[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(12): 3798-3808.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

固定翼双旋弹动力学分岔特性分析

Dynamic bifurcation characteristics analysis on fixed-canard dual-spin projectiles

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