### 直升机飞行动力学数学建模问题

1. 南京航空航天大学 直升机旋翼动力学国家级重点实验室, 南京 210016
• 收稿日期:2016-11-07 修回日期:2017-02-19 出版日期:2017-07-15 发布日期:2017-04-19
• 通讯作者: 陈仁良,E-mail:crlae@nuaa.edu.cn E-mail:crlae@nuaa.edu.cn
• 基金资助:

国家自然科学基金（11672128）

### A review of mathematical modeling of helicopter flight dynamics

CHEN Renliang, LI Pan, WU Wei, KONG Weihong

1. National Key Laboratory of Science and Technology on Rotorcraft Aeromechanics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
• Received:2016-11-07 Revised:2017-02-19 Online:2017-07-15 Published:2017-04-19
• Supported by:

National Natural Science Foundation of China (11672128)

Abstract:

The mathematical model of helicopter flight dynamics is the basis for the design of the flight control system, and is also the tool for the design and assessment of helicopter flight quality. As the helicopter is a multi-body system, the mathematical modeling of helicopter flight dynamics should consider the coupling between motion, inertia, structure and aerodynamics, as well as the unsteady and nonlinear characteristics, so as to give the physical meaning and mathematical expression of each motion part. Therefore, the mathematical modeling of helicopter flight dynamics is a complicated process of analyzing and synthesizing different hypotheses and subsystem models. The paper reviews briefly the development of the flight dynamic modeling of the helicopter with a main rotor and a tail rotor. The emphasis is put on the modeling of main rotor aerodynamics, and aerodynamic interaction among the rotor, fuselage and tail rotor. Integrated modeling of the main rotor and engine, as well as the research on maneuver flight, is also the focus of the paper. Suggestions for future research on helicopter flight dynamic modeling are also provided.