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当飞机在地面上滑行时,其运动会受到风载荷和不对称刹车力矩的影响.为分析飞机的动力学行为,给出了一种基于非完整非光滑多体系统动力学的建模与数值仿真方法.将飞机视为由机身和前后起落架组成的多体系统,主起落架的轮子为纯滚动,飞机在地面滑跑时考虑前起落架轮子的侧向滑移.飞机在跑道上滑跑的动力学方程由Routh方程导出,用约束稳定化方法抑制约束的漂移.轮与地面间的摩擦模型为库仑摩擦模型并用集值函数描述,以用于判断前轮是否发生侧向滑移.最后通过数值仿真算例分析风载荷和不对称刹车力矩作用下飞机在跑道上滑行的动力学行为.
When the airplane glides on the ground, its movement will be affected by the wind load and the asymmetrical braking torque.In order to analyze the dynamic behavior of the aircraft, a modeling and numerical simulation based on the nonholonomic multi-body system dynamics is given Methods The aircraft was considered as a multi-body system consisting of a fuselage and a forward and aft landing gear with the wheel of the main landing gear being purely rolling and the side slip of the nose landing gear wheel taken into account when the aircraft was rolling over the ground. The kinetic equation of running is derived from Routh equation, and restraint drift is restrained by restraint stabilization method.The friction model between wheel and ground is Coulomb friction model and is described by set-valued function, which is used to judge whether lateral slip occurs in front wheel. Finally, a numerical example is given to analyze the dynamic behavior of the aircraft taxiing on the runway under wind load and asymmetrical braking torque.