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 Aiming at the movement characteristic of the shoulder blade system of aeroengine, this paper simplifies it to a single degree of freedom system and deduces the formula of the Lyapunov exponent of the system. Although the positive pressure on the contact surface makes harmonic changes, the Lyapunov exponent of the system is not greater than zero, and the steady-state response only has periodic or quasi-periodic motion without chaos. Simultaneously, the numerical calculation also shows that the steady-state response of the system is a periodic or quasi-periodic motion, and the sub-harmonic component of (v-1) appears. Therefore, it is necessary to perform nonlinear dynamic analysis on the contact state of the shoulder