水平盘旋下裂纹转子的非线性响应

研究了裂纹转子在平飞和水平盘旋状态下的非线性响应,建立了水平盘旋下裂纹转子的数学模型,推导了转子运动方程.由结果发现:响应进入混沌的道路有拟周期环面破裂、周期3运动失稳和阵发性混沌进入混沌3条.水平盘旋一般会对系统的非线性响应起到抑制作用,但是系统响应的振幅明显增大,因此增大了转轴发生断裂和转子碰摩的可能性;并且,水平盘旋会激起转子摆振临界转速分频附近的非线性振动.

Study of nonlinear response of cracked Jeffcott rotor in hovering state

The nonlinear response of crack Jeffcott rotor in leveling and hovering state was studied,while a mathematical model of crack Jeffcott rotor in hovering state was set up,and the corresponding motion equation was derived.The results show that,there are three ways leading to chaos,which are quasi-periodic bifurcation,intermittence bifurcation and instability period-3 motion to chaos.Generally speaking,the hover can depress the nonlinear response of system,but increase considerably the amplitude of system response,thus creating a bigger possibility of axis crack and rotor collision.And,the hover will also lead to nonlinear response near the fraction frequency of swing critical speed.