研究了高速飞行器侧翼展开机构直线旋转作动器的最速展开问题。采用变分方法, 推导了最速展开槽线方程, 建立了直线旋转作动器的平面等效运动模型。推导的最速展开槽线方程虽与摆线方程近似, 但不同于以往任意一类摆线方程及其变种, 命名其为缩放摆线。给出了缩放摆线方程的一些基本特性并推导了基于该曲线方程的最速展开时间计算公式; 采用MSC.Adams运动仿真软件, 对缩放摆线方程和展开时间进行了动力学仿真验证, 仿真结果与理论计算吻合。与标准摆线展开时间的对比研究显示, 当缩放系数大于1时, 缩放摆线展开时间与标准线无明显提升, 但在缩放系数小于1的区间, 随着缩放系数的减小, 展开时间的缩短非常明显。当缩放系数为0.24时, 缩放摆线展开时间仅为原标准摆线的87%。

The quickest deploying of a linear-rotary actuator for wing deployment in a fast air vehicle was explored. The quickest deployable equation was deduced by using the variational method, and a planar equivalent motion model for the linear-rotary actuator was established. The quickest deployable equation is a new kind of curve named by scaled-cycloid here, which is similar to the cycloid curve, but is not any kind of curve from the former research. Some basic characteristics of the scaled-cycloid were studied and the quickest deploying time was calculated. The MSC.Adams software was used to simulate the scaled-cycloid equation and deploying time, and simulation results are well coincident with that of the theoretical analysis. The comparison results with that of cycloid curve show there is no obvious difference of the deployment time between standard cycloid and scaled-cycloid when scaled coefficient (kC) is large than 1, but the deployment time decreases quickly with the decreasing of scaled coefficient when kC is less than 1. The deployment time of scaled-cycloid is just 87% of standard cycloid when the kC decreases to 0.24.