现代大型客机的刚体运动模态频率和弹性模态频率之间的差距越来越小，其在机动过程中的刚弹耦合问题也逾发明显。传统的六自由度飞行动力学仿真无法模拟这种刚弹耦合过程，这无论是对于控制律的优化，或者是飞行训练模拟器的研制都是不利的。通过分析大型客机的基本运动特征，选用平均轴系法对传统六自由度飞行动力学方程进行了扩展，搭建了大型客机的刚弹耦合飞行动力学仿真模型，既继承了原有的仿真体系，又大大简化了分析过程。同时，利用该刚弹耦合仿真模型分析了大型客机典型的俯仰机动和滚转机动下的刚弹耦合问题，与试飞结果进行了对比，验证了刚弹耦合仿真模型的准确性，并利用该模型研究了大型客机的典型俯仰及滚转机动条件下的刚弹耦合特征以及刚弹耦合对动稳定性及弹性模态的影响特性。
The difference between the frequency of rigid-body mode and the elastic-mode of modern large passenger aircraft is becoming smaller and smaller, and the problem of rigid-elastic coupling during maneuvering is becoming increasingly apparent. Traditional flight dynamics simulation which is with six degrees of freedom cannot simulate this rigid-elastic coupling process, which is unfavorable for the optimization of control laws or the development of flight training simulators. By analyzing the basic motion characteristics of large passenger aircraft, the mean axis system method was used to extend the traditional flight dynamics equation, and a rigid-elastic coupling flight dynamics simulation model for large passenger aircraft was constructed. This not only inherits the original simulation system, but also greatly simplifies the analysis process. At the same time, the rigid-elastic coupling simulation model was used to analyze the typical rigid-elastic coupling problem of large passenger aircraft under pitch and roll maneuvers, and compared with flight test results to verify the accuracy of the rigid-elastic coupling simulation model. The model was used to study the rigid-elastic coupling characteristics of large passenger aircraft under typical pitch and roll maneuvers, as well as the impact characteristics of rigid-elastic coupling on dynamic stability and elastic modes.
[1]Robert C Schwanz, John J. Cerra, Maxwell Blair.Dynamic Modeling Uncertainty Affecting Control System Design[J].AIAA Paper, 1984, 84(1057):1-11
[2]Martin R Waszak, David K. Schmidt.Flight Dynamics of Aeroelastic Vehicles[J].J. AIRCRAFT, 1988, 25(6):563-571
[3]David K Schmidt, David L. Raney..Modeling and Simulation of Flexible Flight Vehicles[J]. -4359.[J].AIAA, 1998, A98(37315):225-235
[4]Leonard Meirovitch.Hybrid State Equation of Motion for Flexible Bodies in Terms of Quasi-coordinates[J].Journal of Guidance, Control, and Dynamic, 1991, 14(5):1008-1013
[5]荣吉利，徐天富，王玺，李健，殷新喆，辛鹏飞.随动推力作用下柔性旋转飞行器稳定性分析[J].宇航学报, 2015, 36(01):18-24
[6]郭东, 徐敏, 陈士橹.弹性飞行器飞行动力学建模研究[J].空气动力学学报, 2013, 31(04):413-419
[7]陈尔康，廖欣，高长生，荆武兴.考虑刚体运动与弹体变形耦合效应的旋转导弹动力学建模[J].兵工学报, 2018, 39(11):2159-2171
[8]Franesco Saltari, Cristina Riso, Guido De Matteis, Franco Mastroddi.Finite-Element-Based Modeling for Flight Dynamics and Aeroelasticity of Flexible Aircraft[J].Journal of Aircraft, 2017, 54(6):2350-2366
[9]Cristina Riso, Franco Mastroddi, Carlos E S. Cesnik..Coupled Flight Dynamics and Aeroelasticity of Very Flexible Aircraft Based on Commercial Finite Element Solvers[J]. , 2018.01.[J].AIAA SciTech Forum, 2018, -(-):1-23
[10]Xie Changchuan, Yang Lan, Yang Chao.Stability of Very Flexible Aircraft with Coupled Nonlinear Aeroelasticity and Flight Dynamics[J].Journal of Aircraft, 2018, 55(2):862-874
[11]刘宝，章卫国，李广文，宁东方.弹性飞机的建模与模型降阶方法研究[J].计算机仿真, 2008, 25(5):29-43
[12]曹奇凯, 曾惠华, 柏楠.考虑刚体弹性耦合的飞机动稳定性研究[J].飞行力学, 2011, 29(04):11-14
[13]王立波, 唐矗, 杨超.大展弦比飞翼刚弹耦合运动稳定性分析[J].西北工业大学学报, 2017, 35(06):1096-1104
[14]Pau Castells Marin, Christophe Poetsch.Simulation of Flexible Aircraft Response to Gust and Turbulence for Flight Dynamics Investigations[J]. , 2020.01.[J].AIAA SciTech Forum, 2020, -(-):1-16
[15]Albano, E, Rodden, W.P..A Doublet-Lattice Method for Calculating Lift Distribution on Oscillating Surfaces in Subsonic Flows[J]. AIAA J. 1968, 7, 279–285.[J].AIAA Jounal, 1969, 7(2):279-285
[16]Giesing, J P., Kalman, T.P., Rodden, W.P..Subsonic Unsteady Aerodynamics for General Configurations[J]. , No. 72-26. In Proceedings of the 10th Aerospace Sciences Meeting, San Diego, CA, USA, 17–19 January 1972.[J].AIAA Paper, 1972, 72(26):1-13
[17]Kun Mao, Wuxing Jing, Pan Cheng, Xiaoyan Liu, Yuchen Sun, Meihong Zhang.A Modification to the Enhanced Correction Factor Technique for the Subsonic Wing-Body Interference Model[J]. Aerospace. 2023, 10, 40.[J].Aerospace, 2023, 10(40):1-18
[18]Kun Mao, Wuxing Jing, Meihong Zhang, Huining Zhang.An Aerodynamic Correction Technique for the Unsteady Subsonic Wing-Body Interference Model[J]. Aerospace. 2023, 10, 837.[J].Aerospace, 2023, 10(837):1-24
[19]Mordechay Karpel*.Extensions to the minimum-state aeroelastic modeling method[J].AIAA JOURNAL, 1991, 11(29):2007-2009
[20]方振平，陈万春，张曙光.航空飞行器飞行动力学[M]. 北京: 北京航空航天大学出版社, 2005.11.
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