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本文应用分支和突变理论,对飞机急滚运动时非线性的分支跳跃现象进行了研究。得出了二维操纵参数平面内的分支图。在状态参数和操纵参数空间内导出了求解滚转速率临界稳定值的解析公式,Phillips判据是其中的一种特殊情况。对非线性的跳跃突变现象进行了分析讨论,找出了导致跳跃现象产生的物理原因。最后研究了副翼操纵反馈设计对操纵参数稳定域的影响。
In this paper, the branch and catastrophe theory are used to study the nonlinear branch-jump phenomenon during the airplane’s rapid rolling motion. The two-dimensional manipulated parameter plane is obtained. Phillips criterion is one of the special cases for deriving the analytic formula for solving the critical stability of roll rate in the state parameters and manipulated parameter space. This paper analyzes and discusses the phenomenon of jump and mutation in nonlinear, and finds out the physical reason of jumping phenomenon. Finally, the influence of aileron manipulation feedback design on the stability of steering parameters is studied.