Abstract The paper will review the development and application of the mathematical modelling of the advanced rotorcraft configuration, including compound helicopter configurations and tilt-rotor vehicles. The mathematical model is the basis for the design of the flight control system and an essential tool to assess the flying and handling qualities for helicopters. As the helicopter is a multi-body system, the mathematical modelling of helicopter should consider the coupling effects among motion, inertia, structure, and aerodynamics, as well as the unsteady and nonlinear characteristics, to give the physical principles and mathematical expression of each part. Therefore, the mathematical modelling of a helicopter is a process of analysing and synthesizing different hypotheses and subsystem models. Moreover, the advanced helicopter configuration puts forward higher requirements for the helicopter mathematical modelling in terms of the aerodynamic interference, blade motion characteristics, and manoeuvre assessment. The critical issues of helicopter modelling, especially the modelling of the advanced rotorcraft configurations, will be illustrated in this paper. The emphasis is put on the modelling of rotor aerodynamics and aerodynamic interaction among the rotor, fuselage, and other parts. Integrated modelling methods and the manoeuvrability investigation are also the foci of the paper. Suggestions for future research on helicopter flight dynamics modelling are also provided.

中文翻译：

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先进旋翼机配置的数学建模技术综述

摘要 本文将回顾包括复合直升机构型和倾转旋翼飞行器在内的先进旋翼机构型数学建模的发展和应用。数学模型是飞行控制系统设计的基础，是评估直升机飞行和操纵质量的重要工具。由于直升机是一个多体系统，直升机的数学建模应考虑运动、惯性、结构和空气动力学之间的耦合效应，以及非定常和非线性特性，给出各部分的物理原理和数学表达式。 . 因此，直升机的数学建模是一个分析和综合不同假设和子系统模型的过程。而且，先进的直升机构型在气动干扰、桨叶运动特性、机动评估等方面对直升机数学建模提出了更高的要求。本文将阐述直升机建模的关键问题，尤其是先进旋翼机配置的建模。重点放在转子空气动力学建模以及转子、机身和其他部件之间的空气动力学相互作用上。综合建模方法和机动性调查也是本文的重点。还为直升机飞行动力学建模的未来研究提供了建议。本文将阐述直升机建模的关键问题，尤其是先进旋翼机配置的建模。重点放在转子空气动力学建模以及转子、机身和其他部件之间的空气动力学相互作用上。综合建模方法和机动性调查也是本文的重点。还为直升机飞行动力学建模的未来研究提供了建议。本文将阐述直升机建模的关键问题，尤其是先进旋翼机配置的建模。重点放在转子空气动力学建模以及转子、机身和其他部件之间的空气动力学相互作用上。综合建模方法和机动性调查也是本文的重点。还为直升机飞行动力学建模的未来研究提供了建议。