Abstract: According to the features of the motion of the shrouded blades, the formula to calculate the Lyapunov exponent was developed to its simplified model and the system had only zero or negative Lyapunov exponent. The result of the numerical simulation shows that only the(v 1) period and the quasi period motion exist even the normal load varying harmonically and no chaos appear.

Key words: Aircraft engine;Impeller;Blade;Vibration mechanics;Vibration;Numerical analysis

摘要： 针对航空发动机凸肩叶片系统的运动特点 ,将其简化为单自由度系统进行了分析 ,推导出该系统的李雅谱诺夫指数的计算公式。虽然接触面上的正压力作谐波变化 ,系统的李雅谱诺夫指数均不大于零 ,其稳态响应只有周期或拟周期运动 ,不会出现混沌。同时数值计算也表明 ,系统的稳态响应是周期或拟周期运动 ,而且出现 (v-1 )的次谐波成分 ,由此看出对凸肩接触状态进行非线性动力学分析是必要的

关键词: 航空发动机;叶轮;叶片;振动力学;振动;数值分析