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提出了一种基于凯恩方程的自主空中加油软管-锥套动态模型及性能分析方法。该方法将软管视为由有限段以铰链形式连接的刚性杆组成,锥套为软管末端的一个质点。本文定义了描述系统状态的广义坐标及广义速率,导出了软管段位置多级递推公式和系统动态方程,估算了软管在加油机尾流、定常流和大气扰动下的气动载荷。通过数值仿真分析了平稳大气中锥套在加油机不同飞行条件下的稳态阻力和软管拖拽轨迹,验证了模型的正确性及系统稳定性。最后研究了大气扰动对锥套运动的影响及不同软管段的受扰运动。
A Kneading equation-based autonomous air refueling hose-cone dynamic model and its performance analysis method are presented. This method treats the hose as a rigid rod hingedly connected by a limited number of segments, one of the ends of the hose. In this paper, the generalized coordinates and generalized velocities, which describe the state of the system, are defined. The multi-stage recursion formula and system dynamic equation of the position of the flexible pipe are deduced. The aerodynamic loads of the flexible pipe under turbulence, steady flow and atmospheric disturbance are estimated. Through the numerical simulation, the steady-state resistance and hitch trajectory of the taper sleeve under different flight conditions are analyzed in a steady atmosphere. The correctness of the model and the stability of the system are verified. Finally, the influence of atmospheric disturbance on the motion of the sleeve and the disturbed motion of different hose segments are studied.