裂纹叶片频率转向和振型转换特性研究  

Frequency Veering and Mode Shape Interaction for a Cracked Blade

作　　者：崔韦[1] 王建军[1] 

机构地区：[1]北京航空航天大学能源与动力工程学院,北京100191

出　　处：《推进技术》2015年第4期614-621,共8页Journal of Propulsion Technology

摘　　要：基于有限元法对裂纹悬臂平板叶片的频率转向和振型转换特性进行了线性和非线性研究。首先使用张开型裂纹模型通过线性模态分析研究了裂纹长度变化引起的频率转向和振型转换问题,使用模态置信因子定量分析了频率转向区内振型的渐变过程。而后考虑裂纹闭合效应,建立了裂纹平板的双线性模型,使用张开型和闭合型模型线性分析结果计算得到双线性频率,其中张开型和闭合型裂纹振型通过模态相关性分析进行匹配。计算了裂纹叶片双线性频率,分析了非线性频率转向特性与线性分析结果的差异。最后使用接触有限元模型瞬态响应扫频计算得到非线性共振频率,对张开型模型和双线性模型在典型弯曲、扭转和面内弯曲模态的共振频率进行了验证。Frequency veering and mode shape interaction of a cracked cantilevered plate blade are simulated using modal analysis and nonlinear analysis in finite element method. Firstly,frequency veering and shape inter？action due to crack length changing are investigated in linear modal analysis using open crack model. The process of shape interaction is quantitatively studied by modal assurance criterion in veering region. Then a bilinear crack model is established by considering crack closure effect. Nonlinear resonant frequencies are calculated using bi？linear crack model. The differences of veering results using linear and nonlinear approaches are discussed. At last,a contact FEM crack model is used to verify resonant frequencies of bending,twisting and in-plane bending modes between open model and bilinear model by forced response sweeping calculation.

关 键 词：裂纹叶片 频率转向 振型转换 模态分析 双线性频率 模态置信因子 

分 类 号：V231.9[航空宇航科学与技术—航空宇航推进理论与工程]