转子临界转速计算的一维模型修正方法  

Study on the correction method of one-dimensional model for rotor critical speed calculation

作　　者：王天胤 王克明[1] 屈美娇 辛桂雨 郑喜洋 

机构地区：[1]沈阳航空航天大学航空航天工程学部(院),沈阳110136

出　　处：《沈阳航空航天大学学报》2015年第3期6-11,共6页Journal of Shenyang Aerospace University

摘　　要：采用有限元法,建立一维和三维模型计算一个转子的临界转速,在对一维模型计算结果进行误差分析的基础上,提出一维模型的修正方法。应用此方法建立了修正极转动惯量的一维模型并计算临界转速。通过比较计算结果发现,未修正一维模型的计算结果比三维模型的高,一阶临界转速最多高96%,二阶临界转速最多高50%,采用修正极转动惯量的方法对模型进行修正后,一阶临界转速最大偏差降低至5%,二阶临界转速最大偏差降低至0.7%,计算结果接近三维模型的计算结果。By finite element method, critical speed of a rotor system is calculated using one-dimensional model and three-dimensional model respectively. Based on the error analysis of the calculation results, a cor- rection method of the one-dimensional model is proposed. This method is used to construct the one-dimen- sional model with the moment of inertia and then calculate critical speed. The comparison of the calculation results shows that the computation outcome of the one-dimensional model without correction is higher than that of the three-dimensional model. In extreme condition ,the first critical speed can be 96% higher, and the second critical speed can be 50% higher. After modifying the moment of inertia of the one-dimensional model ,the maximum deviations of the first and the second critical speeds reduce to 5% and 0. 7% respectively. The calculation results of modified one-dimensional model are close to results of the three-dimensional model.

关 键 词：转子系统 临界转速 有限元法 一维模型 模型修正 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]