Nonlinear Dynamics of a Cracked Rotor in a Maneuvering Aircraft
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摘要: 在Jeffcott转子的开闭裂纹及方波模型基础上,建立了飞行器内裂纹转子系统的运动模型.数值研究表明:当飞行器以不同的等速度飞行时,转子轴与水平面之间夹角的变化将造成重力分量的变化,从而使转子运动在周期解、拟周期或浑沌状态之间变化,而且出现非线性现象的转速比、刚度变化比等参数的范围、进入和退出浑沌的路径、响应中的频率成份也会发生变化.飞行器的飞行速度变化还会改变裂纹转子响应的稳定性.飞行器等速飞行后的加速过程将引起转子振幅的突升及其后的下降,而且会使裂纹转子系统响应可能在不同的非线性状态下交替改变.Abstract: The nonlinear dynamics of a cracked rotor system in an aircraft maneuvering with constant velocity or acceleration was investigated.The influence of the aircraft climbing angle on the cracked rotor system response is of particular interest and the results show that the climbing angle can markedly affect the parameter range for bifurcation,for quasi-periodic response and for chaotic response as well as for system stability.Aircraft acceleration is also shown to significantly affect the nonlinear behavior of the cracked rotor system,illustrating the possibility for on-line rotor crack fault diagnosis.
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Key words:
- cracked rotor /
- maneuvering aircraft /
- nonlinear response /
- fault diagnosis
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