燃气透平向心叶轮模态分析  

Modal Analysis of Radial Inflow Impeller of a Gas Turbine

作　　者：骆天舒[1] 戴韧[2] 

机构地区：[1]杭州汽轮机股份有限公司,杭州310012 [2]上海理工大学动力工程学院,上海200093

出　　处：《热力透平》2007年第2期111-114,共4页Thermal Turbine

摘　　要：应用有限元软件对一个小型燃气轮机向心涡轮的叶轮模态进行了数值分析。建立了有限元形式叶轮的动力学方程,对方程中非线性的初应力刚度矩阵与离心刚度矩阵采用了线性化简化,应用Block—Lanzos法求解动力学方程的特征值问题,得到了该叶轮的前7阶模态。此外还基于旋转梁的动力学方程,建立叶轮的简化的动力学方程以说明叶轮基本的振动特性。这些特性在数值分析结果中得到了验证。结果表明:由于旋转柔化效应,当叶轮转速上升时,在某一个转速前,各阶频率有不同程度下降,尤其是一阶弯振频率,过了这个转速一阶弯振频率有个突然的阶越。Based upon the general FEA platform, this paper presents the numerical results of the modal analysis of a radial inflow turbine impeller. The dynamical equation of impeller in the form of FEM is derived with linearized initial stress and centripetal stiffness matrices are linearized. Eigenvalue problem of the dynamical equation is solved by means of Block-Lanzos method with the first 7 modes of the impeller obtained. In addition, the simplified dynamical equation is founded upon the dynamical equation of spinning beam, in order to explain the major dynamics characteristics of the impeller, which are validated in numerical analysis. Resuits indicate that because of the spin softening, as a critical rotation speed is approached, the frequencies of each mode tend to fall, the first bending mode is especially more evident. Then after, the frequency of the first bending mode jumps abruptly.

关 键 词：叶轮 强度 振动 

分 类 号：TB115[理学—数学] TK05[理学—应用数学]