| 应用分支和突变理论对飞机空间机动稳定性的研究 |
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| 引用本文： | 刘昶,赵波.应用分支和突变理论对飞机空间机动稳定性的研究[J].航空学报,1988,9(9):399-408. |
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| 作者姓名： | 刘昶 赵波 |
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| 作者单位： | 南京航空学院
(刘昶)，南京航空学院(赵波) |
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| 摘 要： | 本文应用分支和突变理论,研究了飞机空间机动全局稳定性,导出了求解滚转速率临界稳定值的解析公式,分析了非线性跳跃现象和周期性振荡现象,并找出了这两种现象产生的原因。
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| 收稿时间： | 1987-04-30; |
A STUDY OF AIRCRAFT GLOBAL DYNAMIC STABILITY IN MANEUVER BY USING THE BIFURCATION AND CATASTROPHA THEORY |
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| Liu Chang and Zhao Bo.A STUDY OF AIRCRAFT GLOBAL DYNAMIC STABILITY IN MANEUVER BY USING THE BIFURCATION AND CATASTROPHA THEORY[J].Acta Aeronautica et Astronautica Sinica,1988,9(9):399-408. |
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| Authors: | Liu Chang and Zhao Bo |
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| Institution: | Nanjing Aeronautical Institute |
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| Abstract: | Aircraft global dynamic stability in maneuver is studied by using the main theorems of bifurcation and catastrophe theory, and qualitative theory of differential equation. An analytical formula for determining the critical steady-state value of roll rate is generated in the state-control space, and the phillips criteria is merely a special case. Nonlinear jump and periodic oscillation phenomena are discussed in detail, and the main factors of causing these phenomena are found. And finally, the effect of the negative feedback on control parameters from state parameters on stable regions in control variables space is studied. |
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| Keywords: | bifurcation analysis and catastrophe theory dynamic stabilityin maneuver nonlinear jump |
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