3-D有限元转子系统动力减缩的部件模态综合方法及应用

左彦飞; 王建军

doi:10.13224/j.cnki.jasp.2016.08.018

3-D有限元转子系统动力减缩的部件模态综合方法及应用

doi: 10.13224/j.cnki.jasp.2016.08.018

北京航空航天大学能源与动力工程学院, 北京 100191

详细信息

作者简介:
左彦飞(1987-),男,河北张家口人,博士生,主要从事转子动力学研究.E-mail:zuo_yanfei@163.com

中图分类号: V231.96
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出版历程
- 收稿日期: 2014-11-11
- 刊出日期: 2016-08-28

Component mode synthesis for dynamic reduction of 3-D finite element rotor system and its application

School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 为了对3-D有限元转子模型进行动力学减缩，提出基于部件模态综合的旋转子结构方法.该方法利用实模态振型矩阵减缩子结构自由度，不同转速下的减缩陀螺矩阵由转速系数乘以单位转速的减缩陀螺矩阵得到.与复模态减缩相比，避免了重复求解变换矩阵的缺点，减缩精度优于基于Guyan减缩的旋转子结构法.利用该方法减缩了某航空发动机转子模型87%的自由度数.经比较，由Campbell图所得临界转速的最大误差为0.04%，稳态不平衡响应计算结果与原模型也几乎完全相同，使用的内存和计算时间均不到原模型的20%，验证结果证明该方法可行.
- 模态综合方法 /
- 陀螺效应 /
- 3-D有限元 /
- 模型减缩 /
- 转子动力学
Abstract: Rotating substructure method based on component mode synthesis was proposed to reduce 3-D finite element rotor model. Planar (undamped) mode matrix was used to truncate the degrees of freedom of the substructure and the reduced gyroscopic matrix was got by multiplying a speed coefficient to the unit reduced ones. Compared with complex (damped) mode reduction method, it's no need to recalculate the truncation matrix, and it's more accurate than Guyan reduction method. 87% degrees of freedom of an aero-engine rotor model was reduced. The maximum critical speed error got from Campbell diagram is 0.04%. Unbalance response calculated by the reduced model is almost the same as the original's, and less than 20% RAM (random access memory) and computation time is used. All the results show that the proposed method is valid.
- component mode synthesis /
- gyroscopic effect /
- 3-D finite element /
- model reduction /
- rotor dynamics

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参考文献(17)

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