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针对转子系统不平衡特征再现设计问题,提出1种基于动力学相似关系的模型再现方法。根据转子系统的振动微分方程,通过积分模拟法和量纲分析法建立转子系统中转轴、转盘、弹性支承和不平衡量的相似关系。根据相似关系,设计了原型不平衡转子系统的动力学相似模型,利用有限元方法仿真验证了所得相似关系的正确性。试验采用最小二乘三点法识别原型与模型不平衡转子试验台的不平衡量,给出再现原型不平衡特征的过程,验证了不平衡特征再现设计方法的有效性。总结了基于动力学相似关系的转子系统不平衡特征再现设计方法。
Aimed at the problem of unbalanced reproduction characteristics of rotor system, a model reconstruction method based on dynamic similarity is proposed. According to the vibration differential equation of the rotor system, the similarity relationship between the rotating shaft, the rotating disc, the elastic support and the unbalance amount in the rotor system is established by the integral simulation method and the dimensional analysis method. According to the similarity relationship, the dynamic similarity model of prototype unbalanced rotor system was designed. The correctness of the similarity relationship was verified by the finite element method. The least square three-point method was used to identify the imbalance of prototype and model unbalanced rotor test bed. The process of reproducing the imbalance characteristic of the prototype was given. The validity of the unbalanced feature reproduction design method was verified. Summarizes the design method of the imbalanced feature reproduction of rotor system based on the similarity relation of dynamics.