航空发动机静叶联调机构运动分析及优化

Motion analysis and optimization of jointly adjusting mechanism of aero-engine stator vane

针对航空发动机可调静子叶片联调机构运动关系复杂、优化难度大的问题,研究了一种采用图解法和齐次坐标法结合MATLAB软件推导两级联调机构运动方程,并运用遗传算法对两级机构中的关键构件进行联合优化的方法。运用该方法对指定联调机构的两级曲柄可调端长度、可调端与固定端夹角进行了优化求解。得到了最优解,使得第一级摇臂转动角度是第零级摇臂转动角度的2倍,且第一级摇臂转动角速度也是第零级摇臂转动角速度的2倍。

Considering the problem of the complicated motion relationship and difficult optimization of jointly adjustment mechanism of aero-engine variable stator vane,a new method to design and optimize the jointly adjustment mechanism was proposed.The kinetic equation of the two-stage jointly adjusting mechanism was deduced using the graphic method and the homogeneous coordinate method and the MATLAB software.The key components of the two-stage jointly mechanism were optimized using the genetic algorithm.This developed method was applied to optimize a two-stage jointly adjusting mechanism.The optimization objects were the crank adjustable end length and the angle between the crank adjustable end and fixed end.The optimal result was obtained such that the first stage rocker arm rotation angle was twice the rotation angle of the zeroth stage rocker arm,and the first stage rocker arm rotation angular speed was also twice the zeroth stage rotation angular speed.