直升机飞行动力学数学建模问题

直升机飞行动力学数学模型是飞行控制系统设计的基础,也是直升机飞行品质设计和评估的主要手段。直升机是一个多体系统,在直升机飞行动力学建模过程中,必须考虑旋翼、机体与升力面等的运动耦合、惯性耦合、结构耦合和气动耦合以及非定常、非线性特性,给出各个运动部件的物理模型及其数学表达形式,是对不同假设、子模型进行分析和综合的一个复杂的过程。鉴于此,简要回顾了单旋翼带尾桨直升机飞行动力学数学模型的研究现状,着重描述了直升机飞行动力学数学建模中的旋翼气动力建模、直升机气动干扰建模、旋翼/发动机建模以及直升机飞行动力学模型的集成与综合的研究现状与研究进展。最后,针对直升机飞行动力学的数学建模提出了今后的研究重点。

A review of mathematical modeling of helicopter flight dynamics

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.