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ISSN 2095-9184 (print), ISSN 2095-9230 (online)

Aircraft safety analysis based on differential manifold theory and bifurcation method

Abstract: Loss of control (LOC) is considered one of the leading causes of fatal aircraft accidents worldwide. Reducing LOC is critical to improve flight safety. Although it is still vaguely defined, LOC is generally associated with a flight state that is outside the safety envelope, with nonlinear influences of aircraft dynamics and incorrect handling by the flight crew. We have studied how nonlinear factors and pilot operations contribute to LOC. In this study, the stall point and bifurcation point are confirmed using the bifurcation analysis, and the results show that the aircraft will stall when excessive elevator movement is commanded. Moreover, even though there may be an equilibrium state in one of the elevator deflections, the flight state may still be outside the flight safety envelope. When the flight state is near the edge of the flight safety envelope, the strategy to regulate the elevator deflection is super-sensitive, and a slight change in the elevator deflection may contribute to a flight state outside the safety envelope. To solve this issue, the differential manifold theory is introduced to determine the safety envelope. Examples are provided using NASA’s generic transport model.

Key words: Loss of control, Safety envelope, Aircraft dynamic, Bifurcation analysis, Differential manifold theory

Chinese Summary  <29>  基于微分流形理论和分岔理论的飞机安全性分析

摘要:失控(LOC)被认为是导致世界范围内致命飞机事故的主要原因之一。减少飞机失控对于提高飞行安全意义重大。虽然目前航空界对失控的定义还比较模糊,但研究表明失控通常与飞行状态超出安全包线、飞机动力学的非线性影响以及飞行机组人员不当操纵有关。本文主要针对飞机动力学的非线性影响和驾驶员不当操纵导致的失控展开研究,利用分岔分析方法确定飞行状态的失速点和分岔点。研究结果表明,驾驶员操纵过度将直接导致飞机失速。此外,飞行状态接近飞行包线边界时,驾驶员的操纵会变得特别敏感,稍微改变操纵指令就可能导致飞行状态超出安全包线。即使在某个操纵指令下存在稳定平衡状态,飞行状态仍可能处于安全包线之外。为提升飞行安全,引入微分流形理论确定安全包线。以NASA的通用模型作为案例展开研究。

关键词组:失控;安全包线;飞机动力学;分岔分析;微分流形理论


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DOI:

10.1631/FITEE.1700435

CLC number:

V328

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On-line Access:

2024-08-27

Received:

2023-10-17

Revision Accepted:

2024-05-08

Crosschecked:

2019-01-22

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