飞机急滚机动全局动稳定性研究

A STUDY OF AIRCRAFT GLOBAL DYNAMIC STABILITY IN RAPID ROLLING MANEUVER

本文应用分支和突变理论,研究飞机在状态参数和操纵参数组成的空间内急滚机动全局稳定性。在研究铅垂平面内的对称飞行进入急滚机动时的分支和突变特性基础上,进一步讨论了水平面内转弯进入急滚机动时的情况,导出求解滚转速率临界稳定值的一般解析式,证明Phillips临界滚转速率判据只是其中的一种特殊情况。

Based on the bifurcation analysis and Catastrophe theory methodology(BACTM), the aircraft global dynamic stability in rapid rolling maneuver is studied in this paper . Based on the study of the bifurcation and Catastrophe behavior of an aircraft in rapid rolling maneuver entering from vertical symmetry flight plane, the status of rapid rolling maneuver entering from horizontal turn is discussed futher. A general analytic formula for determining the critical rolling rate is derived in the state-control space. It indicates that the Phillips critical rolling rate criterion is noly a special case of the general analytic formula developed in this paper