尾座式无人机共轴双旋翼的气动优化设计面临需要兼顾多飞行模式设计需求与旋翼间复杂气动干扰的技术挑战。针对该问题，论文构建了基于黏性涡粒子方法（VVPM）与格子涡（VIC）混合方法的高置信度气动模型，并针对旋翼气动优化需求设计了多重置信度贝叶斯优化策略，实现了计算资源与优化精度的平衡。论文以旋翼悬停功率与前飞功率为多优化目标，求解得到共轴双旋翼气动设计方案的Pareto最优解集。结合旋翼流场分析，悬停优化方案通过中段宽弦长与梯度扭转设计有效抑制桨尖涡发展与提升悬停效率，前飞优化方案采用内侧弦长递增及高梯度扭转设计可降低型阻功率与提升巡航效率，但会导致悬停桨尖涡过早卷起，降低悬停性能；折中优化方案通过平衡弦长梯度与扭转角配置，协同兼顾悬停与前飞性能，突破单一优化的局限。
The aerodynamic optimization design of coaxial rotor for tailsitter UAV faces challenges in balancing multiple flight modes and addressing complex aerodynamic interference between rotors. To address these challenges, this study establishes a high-fidelity aerodynamic model based on a hybrid viscous vortex particle method (VVPM) and vortex-in-cell (VIC) approach. A multi-fidelity Bayesian optimization strategy is designed to balance computational costs and accuracy for rotor aerodynamic perfor-mance. By treating rotor hover power and forward-flight power as dual optimization objectives, a Pareto optimal design set for the coaxial rotor design is derived. Flow-field analysis reveals that, the hover-optimized design employing mid-span wide chord and gradient twist configurations effectively suppresses blade tip vortex development and enhances hover efficiency. The for-ward-flight-optimized design utilizes inner-span increasing chord and high-gradient twist designs to mitigate forward-flight blade tip vortices and profile drag power and improve propulsive efficiency, yet induces premature vortex roll-up in hover. A balanced optimization design, harmonizing chord gradient and twist angle distributions, synergistically balances hover/forward-flight aer-odynamic performance, overcoming limitations of single-condition optimization.
[1]王波.混合型可垂直起降飞行器技术研究[D].长沙: 国防科学技术大学, 2016.
[2]WANG B.Research on hybrid vertical takeoff and landing aircrafts [D]. Changsha: National University of Defense Technology, 2016 (in Chinese).
[3]王科雷, 周洲, 马悦文, 等.垂直起降固定翼无人机技术发展及趋势分析[J].航空工程进展, 2022, 13(5):1-13
[4]WANG K L, ZHOU Z, MA Y W, et al.Development and trend analysis of vertical takeoff and landing fixed wing UAV[J].Advances in Aeronautical Science and Engineering, 2022, 13(5):1-13
[5]LEISHMAN J G, ANANTHAN S.An optimum coaxi-al rotor system for axial flight[J].Journal of the Ameri-can Helicopter Society, 2008, 53(4):366-381
[6]Jun S, Yee K, Lee J, et al.Robust design optimization of unmanned aerial vehicle coaxial rotor considering operational uncertainty[J].Journal of Aircraft, 2011, 48(——):353-367
[7]Rand O, Khromov V.[5]Rand O, Khromov V. Aerodynamic optimization of coaxial rotor in hover and axial flight[C]//27th Interna-tional Congress of the Aeronautical Sciences, Nice, France, 2010: 1–13
[8]Giovanetti E B, Hall K C.A variational approach to multipoint aerodynamic optimization of conventional and coaxial helicopter rotors[C]//Proceedings of the American Helicopter Society 71st Annual Forum. 2015, 71(291): 1-13.
[9]Rajmohan N, Zhao J, He C.A coupled vortex parti-cle/CFD methodology for studying coaxial rotor con-figurations[C]//5th Decennial AHS Aeromechanics Specialists Conference, San Francisco, CA, 2014.
[10]Juhasz O, Syal M, Celi R, et al.Comparison of three coaxial aerodynamic prediction methods including val-idation with model test data[J].Journal of the American Helicopter Society, 2014, 59(3):1-14
[11]招启军, 张威, 原昕, 等.共轴刚性旋翼气动外形优化设计[J].南京航空航天大学学报, 2019, 51(2):160-165
[12]ZHAO Q J, ZHANG W, YUAN X, et al.Optimiza-tion Design of Coaxial Rotor Aerodynamic Planform[J].Journal of Nanjing University of Aeronautics & Astro-nautics, 2019, 51(2):160-165
[13]Bagai A, Leishman JG.Free-wake analysis of tandem,tilt-rotor,and coaxial rotor configurations[J].Journal of the American Helicopter Society, 1996, 41(3):196-207
[14]Leishman JG, Ananthan S.Aerodynamic optimization of a coaxial proprotor[C]//62nd Annual Forum of the American Helicopter Society, Phoenix, AZ, 2006: 64–85.
[15]Syal M, Leishman JG.Aerodynamic Optimization Study of a Coaxial Rotor in Hovering Flight[J].Journal of the American Helicopter Society, 2012, 57(——):1-15
[16]Cottet, G.H., and Koumoutsakos, P. D., Vortex meth-ods: theory and practice[M]. Cambridge: Cambridge university press, 2000.
[17]魏鹏, 史勇杰, 徐国华, 等.基于黏性涡模型的旋翼流场数值方法[J].航空学报, 2012, ——(05):771-780
[18]WEI P, SHI Y j, XU G H, ZHAO Q J.Numerical Method for Simulating Rotor Flow Field Based upon Viscous Vortex Model[J].ACTA aeronauticaet astro-nautica sinica, 2012, ——(5):771-780
[19]谭剑锋, 王浩文, 吴超, 等.基于非定常面元黏性涡粒子混合法的旋翼平尾非定常气动干扰[J].航空学报, 2014, 35(3):643-656
[20]TAN J F, WANG H W, WU C, et al.Rotorempennage unsteady aerodynamic interaction with unsteady pan-elviscous vortex particle hybrid method[J].ACTA aer-onauticaet astronautica sinica, 2014, 35(3):643-656
[21]He C, Zhao J.Modeling rotor wake dynamics with viscous vortex particle method[J].AIAA Journal, 2009, 47(4):902-915
[22]Ding Z, Duan D, Zhang C, et al.An rVPM-Based Aer-odynamic Hybrid Optimization Method for Coaxial Rotor with Differentiated Upper and Lower Blades in Both Hover and High-Speed Cruising States[J].Aerospace, 2024, 11(6):463-
[23]Zhao H, Zhang W, Xu M, et al.Aerodynamic robust optimization design of the coaxial rotor for a mars helicopter[J].Acta Astronautica, 2025, 228(——):167-175
[24]Cottet GH, Poncet P.Advances in direct numerical simulations of 3D wall-bounded flows by vortex-in-cell methods[J].Journal of computational physics, 2004, 193(1):136-158
[25]Zhao J, He C.Real-Time Simulation of Coaxial Rotor Configurations with Combined Finite State Dynamic Wake and VPM[C]//American Helicopter Society 70th Annual Forum, Montreal, QC, Canada, May 2014: 12.
[26]Barba LA, Yokota R.ExaFMM: An open source library for fast multipole methods aimed towards exascale systems[J].Boston: Boston University, 2011, :-
[27]Deng J, Fan F, Liu P, et al.Aerodynamic characteristics of rigid coaxial rotor by wind tunnel test and numerical calculation[J].Chinese Journal of Aeronautics, 2019, 32(3):568-576
[28]Wu H T, Zhang Z L, Dias D.Prediction on compression indicators of clay soils using XGBoost with Bayesian optimization[J].Journal of Central South University, 2024, 31(——):3914-3929
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