太阳能无人机翼载很低,在伞降过程中,降落伞的拉力对无人机的姿态影响很大,稳定下降速度与巡航速度可比拟,无人机的气动力不可忽略。而太阳能无人机又需要有较平稳的伞降姿态以减小对机翼上太阳能板的损坏,因此对伞降的姿态控制要求比其他飞机高。为了以最小的代价准确分析这个现象,首先,把无人机和降落伞视为2个刚体,推导了伞降系统的九自由度多体动力学模型,根据机-绳-伞的相对位置关系,采用四元数法推导了伞绳和降落伞的姿态角代数方程,从而减小了动力学方程组的个数和对降落伞参数的依赖。然后,采用空间几何法,根据伞绳的柔性特征,推导了伞绳挂点和结点对无人机的力矩作用关系。接下来,针对算例无人机进行了伞降系统多体动力学模型的飞行仿真,并与飞行试验数据进行了对比,发现位置、速度、姿态等数据一致性都较高、细节保留较好,验证了所提出的伞降着陆仿真分析方法的有效性。最后,采用所建立的多体动力学飞行仿真系统进行了伞绳挂点对俯仰角和飞行轨迹的敏感性分析,得到了前挂点前移对无人机的姿态扰动影响很大,而后挂点的前后移动对姿态扰动的影响相对不明显的结论。
The low wing load of solar-powered UAVs leads to a large impact of the parachute pull on the UAV attitude in the parachute landing process. The steady descent speed is comparable to its cruise speed, while the aerodynamic force of the UAV cannot be ignored. The solar-powered UAV needs a more stable parachute attitude to reduce damage to the solar panels on the wing, therefore requiring higher attitude control of parachute landing than other aircraft. For accurate analysis of this phenomenon at the minimum cost, a nine degrees of freedom multi-body dynamic model of the parachute landing system is firstly derived with the UAV and the parachute regarded as two rigid bodies. According to the relative position relationship of the UAV-rope-parachute, the algebraic equations of the attitude angles of the parachute rope and the parachute are obtained using the quaternion method, thus reducing the number of dynamic equations and the dependence on parachute parameters. Based on the flexible characteristics of the parachute rope, the moment relationship between the attachment point and the node of the parachute rope to the UAV is then derived using the spatial geometry method. Furthermore, the flight simulation of the multi-body dynamic model of the parachute landing system as an example UAV is carried out, and the results are compared with the flight test data. It is found that the data consistency of position, speed and attitude is high, the details are well preserved, and the effectiveness of the proposed parachute landing simulation analysis method is verified. Finally, the sensitivity of the attachment point of the rope to the pitch angle and flight trajectory is analyzed using the established multi-body dynamics flight simulation system. It is concluded that the forward movement of the front attachment has a considerable influence on the pitch angle of the UAV, while the forward and backward movements of the rear attachment has relatively little influence on the pitch angle.
[1] YAKIMENKO O A. Precision aerial delivery systems: Modeling, dynamics, and control[M]. Reston: AIAA, Inc., 2015.
[2] 荣海春, 张军红. 某型无人机伞降回收系统设计[J]. 西安航空学院学报, 2016, 34(3): 25-28. RONG H C, ZHANG J H. Design of parachute recovery system for UAV[J]. Journal of Xi'an Aeronautical University, 2016, 34(3): 25-28 (in Chinese).
[3] 刘靖. 无人机伞降回收系统设计与实现[J]. 指挥控制与仿真, 2016, 38(6): 109-112. LIU J. Design and implementation of parachute recovery system for unmanned aerial vehicle[J]. Command Control & Simulation, 2016, 38(6): 109-112 (in Chinese).
[4] 赵翔. 某型无人机伞降回收过程动力学及运动仿真[D]. 南京: 南京航空航天大学, 2010. ZHAO X. Numerical prediction of the motion of an unmanned aerial vehicle and parachute system during recovery[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2010 (in Chinese).
[5] 宁雷鸣, 张红英, 秦福德, 等. 无人机伞降回收过程动力学建模与仿真[J]. 航天返回与遥感, 2012, 33(5): 24-32. NING L M, ZHANG H Y, QIN F D, et al. Modeling and simulation of UAV parachute recovery process[J]. Spacecraft Recovery & Remote Sensing, 2012, 33(5): 24-32 (in Chinese).
[6] 李光超, 马晓平. 无人机伞降回收运动分析[J]. 飞行力学, 2007, 25(4): 25-28. LI G C, MA X P. Parachute landing recovery motion analysis for unmanned aerial vehicle[J]. Flight Dynamics, 2007, 25(4): 25-28 (in Chinese).
[7] 张青斌, 彭勇, 程文科, 等. 降落伞拉直过程的质量阻尼弹簧模型[J]. 弹道学报, 2003, 15(1): 31-36. ZHANG Q B, PENG Y, CHENG W K, et al. A mass spring damper model of parachute deployment[J]. Journal of Ballistics, 2003, 15(1): 31-36 (in Chinese).
[8] 张青斌, 唐乾刚, 彭勇, 等. 飞船返回舱降落伞系统动力学[M]. 北京: 国防工业出版社, 2013. ZHANG Q B, TANG Q G, PENG Y, et al. Dynamics of parachute-capsule recovery system[M]. Beijing: National Defense Industry Press, 2013 (in Chinese).
[9] 张青斌, 高峰, 郭锐, 等. 动力翼伞系统拟坐标形式的多体动力学建模[J]. 兵工学报, 2019, 40(9): 1935-1942. ZHANG Q B, GAO F, GUO R, et al. Multibody dynamics modeling of powered parafoil system using equations with quasi-coordinates[J]. Acta Armamentarii, 2019, 40(9): 1935-1942 (in Chinese).
[10] 王海涛. 大型降落伞抽打现象及运动稳定性研究[D]. 长沙: 国防科技大学, 2011. WANG H T. Research on bull whipping and dynamic stability of large parachute system[D]. Changsha: National University of Defense Technology, 2011 (in Chinese).
[11] 郭鹏. 大型降落伞开伞过程研究[D]. 长沙: 国防科技大学, 2012. GUO P. Research on the opening process of large parachute system[D]. Changsha: National University of Defense Technology, 2012 (in Chinese).
[12] ACCORSI M, LEONARD J, BENNEY R, et al. Structural modeling of parachute dynamics[J]. AIAA Journal, 2000, 38: 139-146.
[13] OPAZO T, LANGELAAN J W. Longitudinal control of transition to powered flight for a parachute-dropped multirotor[C]//AIAA Scitech 2020 Forum. Reston: AIAA, 2020: 2072.
[14] WISE K. Dynamics of a UAV with parafoil under powered flight[C]//AIAA Guidance, Navigation, and Control Conference and Exhibit. Reston: AIAA, 2006: 6795.
[15] 刘志强. 小型无人机伞降回收运动分析[J]. 宇航计测技术, 2013, 33(6): 54-57. LIU Z Q. Parachute landing recovery motion analysis for a small unmanned aerial vehicle[J]. Journal of Astronautic Metrology and Measurement, 2013, 33(6): 54-57 (in Chinese).
[16] 丛书全, 姜杨. 中小型无人机伞降精确回收方法研究[J]. 宇航计测技术, 2013, 33(4): 71-74. CONG S Q, JIANG Y. The method analysis of traditional precision recovery of UAV[J]. Journal of Astronautic Metrology and Measurement, 2013, 33(4): 71-74 (in Chinese).
[17] 吴翰, 王正平, 周洲, 等. 基于凯恩方程的无人机伞降回收动力学建模与仿真[J]. 北京航空航天大学学报, 2019, 45(6): 1256-1265. WU H, WANG Z P, ZHOU Z, et al. Dynamics modeling and simulation of UAV parachute recovery based on Kane equation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(6): 1256-1265 (in Chinese).
[18] 席庆彪, 张波, 田小雄, 等. 基于风场估测的无人机伞降定点回收研究[J]. 西北工业大学学报, 2004, 22(4): 452-456. XI Q B, ZHANG B, TIAN X X, et al. On navigation control of UAV in recovery stage to ensure reliable parachute landing on assigned spot with wind disturbance estimation considered[J]. Journal of Northwestern Polytechnical University, 2004, 22(4): 452-456 (in Chinese).
[19] 郑浩奕. 无人机伞降系统关键技术研究[D]. 广州: 华南理工大学, 2015. ZHENG H Y. Research of key technology of unmanned aircraft parachute system[D]. Guangzhou: South China University of Technology, 2015 (in Chinese).
[20] 丁娣, 钱炜祺, 和争春, 等. 基于动力学仿真的无人机伞降回收系统设计[J]. 飞行力学, 2012, 30(6): 511-514. DING D, QIAN W Q, HE Z C, et al. UAV parachute recovery systems design based on dynamic simulation[J]. Flight Dynamics, 2012, 30(6): 511-514 (in Chinese).
[21] 陈自力, 张昊, 邱金刚. 动力翼伞多体非线性动力学建模与相对运动分析[J]. 飞行力学, 2015, 33(6): 505-509. CHEN Z L, ZHANG H, QIU J G. Modeling and relative motion analysis of multi-body nonlinear dynamic of powered parafoil[J]. Flight Dynamics, 2015, 33(6): 505-509 (in Chinese).
[22] 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. FANG Z P, CHEN W C, ZHANG S G. Aviation aircraft flight dynamics [M]. Beijing: Beijing University of Aeronautics & Astronautics Press, 2005 (in Chinese).
[23] 朱宝鎏. 无人飞机空气动力学[M]. 北京: 航空工业出版社, 2006. ZHU B L. UAV aerodynamics[M]. Beijing:Aviation Industry Press, 2006:130 (in Chinese).