叶片组的变参数环板等效建模方法  

AN EQUIVALENT MODELING METHOD BY SIMPLIFYING BLADE GROUP TO AN ANNULAR PLATE WITH VARIABLE PARAMETERS

作　　者：姜萌 张美艳 郭其威 唐国安 Jiang Meng;Zhang Meiyan;Guo Qiwei;Tang Guoan(Department of Aeronautics and Astronautics,Fudan University,Shanghai 200433,China;Research ＆ Development Center,China Academy of Launch Vehicle Technology,Shanghai 201108,China)

机构地区：[1]复旦大学航空航天系,上海200433 [2]上海宇航系统工程研究所,上海201108

出　　处：《动力学与控制学报》2018年第5期453-461,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金(11572089)资助项目;上海市科技启明星计划(15QB1404600)资助项目~~

摘　　要：复杂转子系统由多级叶盘组成,在利用有限元等方法分析时,需建立十分精细、规模巨大的三维有限元模型,即使利用叶盘的回转对称特性,单扇区的自由度数目依然庞大,计算效率有待进一步提高.为降低转子整体的自由度,可从等效单级叶盘模型出发,针对复杂叶片组部件进行等效建模.等效后的叶片组为变参数各向异性环形板,在保证等效前后模型整体的质量和惯量相等的条件下,通过调节等效环板模型的几何和材料参数,使得主要固有频率和模态具有相似的特征.文章以航空发动机带叶冠的低压涡轮叶盘模型为应用对象,将其精细的三维有限元模型作为初始模型,选择三维实体单元作为等效环板的单元类型,通过理论推导和数值计算得到建立等效模型所需的几何和材料参数,验证了等效方法的可行性和高效性.Complex rotor system usually contain multistage bladed disks,which result in tremendous DOFs when leveraging FEM to analyze its dynamic characteristics. Computation efficiency also remains to be improved since the DOFs of single bladed disk is still large even though leveraging the rotation period characteristics. With the purpose of DOFs reduction,simplified and equivalent modeling of single bladed disk can be treated as a feasible way. In this paper,an equivalent modeling method is proposed to simplify the blade group into an annular plate with variable parameters based on the criterion that dynamic characteristics of annular plate canstay approximately the same as the original one. Physical parameters of annular plate including geometric and material parameters can be obtained by theoretical derivation and calculation. In the end of the paper,the equivalent modeling method is verified by taking a bladed disk model of aero engine as an example. It turns out that the equivalent modeling method can not only ensure precision but also improve computational efficiency.

关 键 词：振动 叶片 轮盘 转子 模型缩聚 

分 类 号：TH113[机械工程—机械设计及理论]