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Bifurcation analysis for a novel flight vehicle with pitch-control single moving mass
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering ( IF 1.1 ) Pub Date : 2021-05-28 , DOI: 10.1177/09544100211023259
Zhitao Liu 1 , Jianqing Li 2 , Changsheng Gao 3 , Wuxing Jing 3
Affiliation  

Moving mass flight vehicle is a strongly nonlinear system under high speed flying conditions. The system attitude dynamics becomes even more complex due to the coupling between the internal moving mass with large mass ratio and the vehicle body. This article investigates the open-loop nonlinear dynamics of a novel flight vehicle with pitch-control single moving mass from the prospective of bifurcation theory and continuation methods. Of particular interest is the influence of moving mass parameters on the number of system equilibrium points, stability of equilibrium curves, bifurcation characteristics, and the longitudinal static stability. Numerical results reveal the bifurcation phenomena existing in the proposed flight vehicle; the generated bifurcation diagrams illustrate that the multiple sets of limit points and Hopf points divide the moving mass parameter space into different regions with different values and types of stability, thus indicating the significant role of the moving mass parameters in the system nonlinear dynamics. Finally, a design strategy for the moving mass parameters is concluded based on the bifurcation analysis results.



中文翻译:

一种新型变桨距控制单运动质量飞行器的分岔分析

移动质量飞行器是高速飞行条件下的强非线性系统。由于大质量比的内部运动质量与车身之间的耦合,系统姿态动力学变得更加复杂。本文从分叉理论和延拓方法的角度研究了具有俯仰控制单运动质量的新型飞行器的开环非线性动力学。特别令人关注的是运动质量参数对系统平衡点数量,平衡曲线的稳定性,分叉特性以及纵向静态稳定性的影响。数值结果揭示了所提出的飞行器中存在的分叉现象;生成的分岔图说明多组极限点和Hopf点将运动质量参数空间划分为具有不同值和稳定性类型的不同区域,从而表明运动质量参数在系统非线性动力学中的重要作用。最后,基于分岔分析结果得出了移动质量参数的设计策略。

更新日期:2021-05-30
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