基于Jeffcott理论等效叶片组的叶盘模型建模方法及分析  

Modeling Method and Analysis of Bladed Disc in the Equivalent Blade Group Based on Jeffcott Theory

作　　者：郑庆帅 顾煜炯[1] 刘宇航 马吉伟 ZHENG Qingshuai;GU Yujiong;LIU Yuhang;MA Jiwei(National Thermal Power Engineering Technology Research Center,North China Electric Power University,Beijing 102206,China)

机构地区：[1]华北电力大学国家火力发电工程技术研究中心,北京102206

出　　处：《动力工程学报》2023年第6期670-676,共7页Journal of Chinese Society of Power Engineering

基　　金：国家重点研发计划资助项目(2017YFB0603904-4)。

摘　　要：转子系统建模时叶片与轮盘的耦合关系导致矩阵方程阶数过高,难以解析,通常情况下采用直接将叶片等效为附加转动惯量,再将叶片-轮盘作为刚性圆盘整体的方法,但是这种建模方法在高转速、长叶片的情况下会割裂叶片与转子之间的能量耦合关系,导致模型误差急剧增大。在考虑叶片与轮盘耦合的情况下,以一阶临界转速及模态近似为等效准则,将有限元模型中的周向环绕叶片组等效为正交各向同性的刚性圆环,并通过理论推导和计算得到等效后轮盘半径与原始叶片-轮盘模型之间的关系,并进行了ANSYS仿真对比。结果表明:等效方法可在显著降低原始叶片-轮盘模型自由度的同时保证等效模型的可靠性。When modeling rotor system,it is difficult to analyze high order of matrix equation due to coupling relationship between blade and disc.Therefore,blades were usually treated as equivalent additional moment of inertia,and the blade and disc were treated as a whole rigid disc.However,this modeling method would split the energy coupling relationship between the long blade and the rotor in the case of high speed,resulting in a sharp increase of model error.When the coupling of blade and disc was considered,the circumferential blade set in the finite element model was equivalent to an orthoisotropic rigid ring by taking the first-order critical speed and modal approximation as equivalent criterion,and the relation between the radius of the disc after equi-calibration and the original disc was obtained through theoretical derivation and calculation.Finally,ANSYS simulation comparison was carried out.Results show that equivalent method can significantly reduce the degree of freedom of blade-disc model and ensure the reliability of the equivalent model.

关 键 词：叶片 转子 有限元法 模型降阶 临界转速 

分 类 号：TK262[动力工程及工程热物理—动力机械及工程]