摘要
该文对失谐叶片-轮盘结构系统的振动模态局部化问题进行了分析研究。将叶片模拟为固定在轮盘上的悬臂梁结构,采用Hamilton变分原理和Galerkin方法,导出了结构系统的运动方程表达式。将运动方程化为状态方程,求解本征值问题获得结构系统的特征向量解。作为算例,计算了一个具有16个叶片的叶片-轮盘结构系统的模态振型,得到了失谐结构的局部化的振动模态,同时分析了叶片的失谐量、轮盘的转速以及围带的位置半径对叶片振动 模态局部化的影响。失谐叶片-轮盘结构中存在振动模态的局部化现象,无量纲转速对振动模态局部化有很大影响,局部化程度随着叶片失谐量的增加而增强。
In this paper, the localization of vibration mode in mistimed bladed disk assemblies is presented. The blades are modeled as cantilever beams which are fixed on the disk. By using the Hamiltonian principle and the Galerkin's method, the equations of motion of the bladed disk assemblies are derived. Through transforming the equations of motion of the system into state equations, the eigenvalues of the system can be solved to obtain the eigenvectors. The paper illustrates by example the calculation of mode shapes for a bladed disk assembly with 16 blades and the localization of vibration modes of the mistuned system. Meanwhile, the effects of magnitude of disorder of blade, rotating speed of disk and location radius of shrouds on the vibration mode localization are analyzed. The phenomenon of vibration mode localization can be observed in mistuned bladed disk assemblies. The dimensionless rotating speed has a great influence on the vibration mode localization, and the larger the degree of disorder, the larger the degree of localization.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2003年第11期189-194,共6页
Proceedings of the CSEE
基金
国家自然科学基金(19972018)
国家重点基础研究规划项目(G1998020317)
国家自然科学基金(19990510)~~
关键词
汽轮发电机
失谐叶片-轮盘结构
振动
模态局部化
Mistimed bladed disk assembly
Vibration mode localization
Eigenvalue problem
Hamiltonian principle
