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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  <22>  基于微分æµå½¢ç†è®ºå’Œåˆ†å²”ç†è®ºçš„飞机安全性分æž

摘è¦ï¼šå¤±æŽ§ï¼ˆLOC)被认为是导致世界范围内致命飞机事故的主è¦åŽŸå› ä¹‹ä¸€ã€‚å‡å°‘飞机失控对于æ高飞行安全æ„义é‡å¤§ã€‚虽然目å‰èˆªç©ºç•Œå¯¹å¤±æŽ§çš„定义还比较模糊,但研究表明失控通常与飞行状æ€è¶…出安全包线ã€é£žæœºåŠ¨åŠ›å­¦çš„éžçº¿æ€§å½±å“以åŠé£žè¡Œæœºç»„人员ä¸å½“æ“纵有关。本文主è¦é’ˆå¯¹é£žæœºåŠ¨åŠ›å­¦çš„éžçº¿æ€§å½±å“和驾驶员ä¸å½“æ“纵导致的失控展开研究,利用分岔分æžæ–¹æ³•ç¡®å®šé£žè¡ŒçŠ¶æ€çš„失速点和分岔点。研究结果表明,驾驶员æ“纵过度将直接导致飞机失速。此外,飞行状æ€æŽ¥è¿‘飞行包线边界时,驾驶员的æ“纵会å˜å¾—特别æ•æ„Ÿï¼Œç¨å¾®æ”¹å˜æ“纵指令就å¯èƒ½å¯¼è‡´é£žè¡ŒçŠ¶æ€è¶…出安全包线。å³ä½¿åœ¨æŸä¸ªæ“纵指令下存在稳定平衡状æ€ï¼Œé£žè¡ŒçŠ¶æ€ä»å¯èƒ½å¤„于安全包线之外。为æå‡é£žè¡Œå®‰å…¨ï¼Œå¼•å…¥å¾®åˆ†æµå½¢ç†è®ºç¡®å®šå®‰å…¨åŒ…线。以NASA的通用模型作为案例展开研究。

关键è¯ç»„:失控;安全包线;飞机动力学;分岔分æžï¼›å¾®åˆ†æµå½¢ç†è®º


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DOI:

10.1631/FITEE.1700435

CLC number:

V328

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On-line Access:

2019-03-11

Received:

2017-07-01

Revision Accepted:

2017-09-13

Crosschecked:

2019-01-22

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