Mechanical and dynamic characteristics of bearing with looseness on high-speed flexible rotor
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摘要:
针对高速柔性转子支承松动的结构特征、力学特征以及多支点转子系统动力学设计的需要，研究了转子支承结构松动引起支承刚度非连续变化的产生机理，建立了支承松动转子系统动力学模型，分析了支承松动转子系统存在混沌运动的条件，即当转子动力特性对支承刚度变化敏感时，受支承刚度阶跃影响，支承松动转子系统会产生混沌运动。根据多支点转子系统动力学特性与支承结构位置、刚度的相关性，采用优化支承位置和支承刚度的方法，使转子动力特性对支承刚度非连续变化不敏感，为多支点高速柔性转子系统的动力学优化设计提供了设计途径。
Abstract:Based on analysis of the structural and mechanical characteristics of the bearing with looseness on high-speed flexible rotor and the demand of dynamic optimal design for multi-supported flexible rotor, the mechanism of non-straight change of stiffness of supporting structure caused by looseness on rotor-bearing system was researched. Then a dynamic model of rotor-bearing system with looseness was developed. The generation conditions of chaos were analyzed. According to the analysis, the rotor will produce chaotic motion by the impact of the step change in stiffness when the dynamics of the rotor is sensitive to the stiffness of supporting structure. Based on the relationship of dynamics of the rotor and position and stiffness of supporting structure, the optimization design of the position and stiffness of supporting structure can control the sensitivity of rotor dynamic characteristics to the stiffness of the support, which can provide design method for dynamics optimization design for multi-supported high-speed flexible rotor.
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图 2 支承松动处支承刚度随振幅变化特征
Figure 2. Change of stiffness of supporting structure with amplitude at position of bearing with looseness
图 3 支承松动转子系统力学模型
Figure 3. Mechanical model of rotor system supported by bearing with looseness
图 5 多支点柔性转子支承不同心力学模型
Figure 5. Mechanical model of bearing misalignment on multi-supported flexible rotor
图 6 采用支承松动设计的多支点柔性转子力学模型
Figure 6. Mechanical model of multi-supported flexible rotor using bearing with loosening design
图 9 不同位置支点支承松动对柔性转子临界转速影响
Figure 9. Influence of different positions of bearing with looseness on flexible rotor's critical speed
图 10 4号支点当量支承刚度对柔性转子共振频率影响
Figure 10. Influence of equivalent supporting stiffness of the fourth supporting structure on flexible rotor's resonant frequency
表 1 高速柔性转子各支点支承刚度设计值
Table 1. Designed bearing stiffness value of supporting structures of high-speed flexible rotor
支点编号 1号(滚珠) 2号(滚棒) 3号(滚棒) 4号(滚棒) 支承刚度/
(106N·m-1)5.0 1.4 3.5 2.8 
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