| 液体火箭发动机基于非线性理论的稳定性分析方法 |
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| 引用本文： | 杨晶晶,刘卫东. 液体火箭发动机基于非线性理论的稳定性分析方法[J]. 火箭推进, 2007, 33(1): 12-17,27 |
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| 作者姓名： | 杨晶晶 刘卫东 |
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| 作者单位： | 国防科学技术大学,航天与材料工程学院,湖南,长沙,410073 |
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| 摘 要： | 以液氧/煤油单台空间发动机的起动过程和平稳工况为研究对象,在改变推力室喷管喉部直径的情况下,运用非线性领域中的分析方法,对系统在整个相空间的表现行为作了全局分析比较。综合考虑相空间吸引子、李雅普诺夫指数以及分维数,提出了一种新的研究系统稳定性分析方法——轨道稳定性分析法。该方法具有几何学直观的优点,易于在计算机上实现。
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| 关 键 词： | 液体火箭发动机 非线性 稳定性 李雅普诺夫指数 关联维 |
| 修稿时间： | 2006-02-212006-05-15 |
The stability analysis technique based on nonlinear theory for liquid propellant rocket engine |
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| Yang Jingjing,Liu Weidong. The stability analysis technique based on nonlinear theory for liquid propellant rocket engine[J]. Journal of Rocket Propulsion, 2007, 33(1): 12-17,27 |
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| Authors: | Yang Jingjing Liu Weidong |
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| Affiliation: | College of Aerospace and Material Engineering, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | Start-up procedure and stationary behaviour of a liquid oxygen/kerosene space engine was chosen as the research object in this paper. When the throat diameters of the nozzle was changed, the movements of the whole phase-space were analyzed and compared globally by using the methods of nonlinear field. A new method for studying the stability of the system was presented in this paper.Analysis method of stability of orbit, the attractors in phase-space, Lyapunov exponents and correlation dimension were considered synthetically. This method is not only visual in geometrics but also easy to realize with computers. |
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| Keywords: | liquid propellant rocket engine nonlinear stability Lyapunov exponents correlation dimension |
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