基于数值延拓算法的倾转旋翼机配平及稳定性分析

考虑旋翼尾流对机翼、平尾和垂尾的气动干扰,建立了倾转旋翼机非线性飞行动力模型。以XV 15为例,通过简化悬停模型,计算得到悬停的配平解,在此基础上,分别以前飞速度和短舱转角为延拓参数,数值延拓完成直升机模式、过渡模式和飞机模式在不同飞行速度下的配平。并在此基础上对倾转旋翼机进行稳定性分析。计算结果表明:应用数值延拓算法进行配平可以不受初值限制计算得到真实解；数值延拓算法具有全面性,可计算全短舱转角-速度包线内的平衡值。 

Trim and stability analysis of tilt rotor aircraft based on numerical continuation method

The nonlinear flight dynamics model of tilt rotor aircraft was developed by considering the influence of rotor wake on wing, horizontal stabilizer and vertical stabilizer. Taking the tilt rotor XV 15 for an instance, by simplifying the hovering model, trim result of hovering was easily calculated. Then, based on the hovering solution, using forward velocity and nacelle conversion angle as continuation parameters, trim calculations of helicopter mode, conversion mode and airplane mode were accomplished by numerical continuation method. Stability was also analyzed based on the trim results. Calculated results showed that, numerical continuation method can calculate the trim solution without being limited by the initial value; the continuation method can calculate the trim solution in the whole conversion envelope and provide a global analysis.