复杂结构双转子系统的建模及模型缩减  

Modeling method and reduction of dual-rotor system with complicated structures

作　　者：孙传宗[1] 陈予恕[1] 侯磊[1,2] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001 [2]哈尔滨工业大学能源科学与工程学院,哈尔滨150001

出　　处：《航空动力学报》2017年第7期1747-1753,共7页Journal of Aerospace Power

基　　金：国家自然科学基金(11602070);国家重点基础研究发展计划(2015CB057400);中国博士后科学基金(2016M590277)

摘　　要：建立了包含复杂结构特征的双转子三维实体有限元模型,应用Craig-Bampton模态综合法实现了模型维度的缩减。通过对比临界转速和固有振动特性验证了缩减模型的准确性。在此基础上计算了双转子系统的临界转速谱和特定转速比下的临界转速值。结果表明:Craig-Bampton模态综合法成功地将双转子高维实体有限元模型缩减到仅有数十个(34个)自由度的低维模型,并保持前2阶临界转速误差和前6阶固有频率误差不超过0.43%。基于缩减单转子模型再按照边界条件耦合的分析方案有利于快速求解双转子临界转速等动力学问题。A 3-D finite element model was established for the dual-rotor model including complicated geometries. By utilizing Craig-Bampton mode synthesis method, the model order reduction was carried out. Through comparative analyses in critical speed and eigen problems, the validity and efficiency of the reduced order model were verified. On this basis, the critical speed map and the value of critical speed under a constant ratio were calculated. Results showed that the high-dimensional solid finite model was successfully re- duced to a lower one with only a few dozen degree of freedom （34 DOFs） by means of Craig-Bampton method, and the maximum error of the first two orders critical speed and the first six orders eigen value were kept less than 0. 4 3%. Based on analysis of the frame- work in which the model is created by reducing the two single rotor subsystems and combining them under compatibility condition, dynamical problems such as critical speed can be easily solved.

关 键 词：复杂结构 双转子系统 模态综合法 模型缩减 有限元 临界转速 

分 类 号：V231.96[航空宇航科学与技术—航空宇航推进理论与工程]